Hello, very good evening. Welcome, dear friends, to the session. If my voice is coming through clearly and the video is running properly, please write in the comment box that everything is absolutely fine. So, let's begin today's session. Welcome, all children. Greetings to everyone. Jai Shri Krishna. Jai Mata Ji. Jai Mata Ji. And once again, I request all the children to share the session so that all the other children can join as soon as possible, and we can start the session quickly. Welcome to today's session, right? So, let's join quickly. If my voice is clear, please write in the comment box once that yes sir, the voice is absolutely clear, and we will start, right? So, let's join quickly. Everything is perfect, right? So, very good.

Well, actually, we are going to start a new chapter today, right? And you already know the topic. And first of all, this is actually my first session on the channel, and it's a bit more challenging to do it directly live because I have a lot of experience, but this is almost my first attempt to come directly on the channel and go live. Right? So, first of all, greetings and नमस्कार to all the children from my side. Welcome to the session. And the topic we have brought today is a very basic one in mathematics, which is called "Numbers and Their Types." Right? So, first of all, let me make it very clear to you what the motive, the main point, the objective of starting this chapter is. The objective is only this: you already know that in March-April, your recruitment exams are coming, in which you all know how much the weightage of mathematics has increased. Mathematics and Reasoning, right? Both of them are 70 marks. And perhaps if you looked at the syllabus a few days ago, in the syllabus, you also saw that many topics of mathematics have been included in reasoning. So, if you look at it, the weightage of mathematics is even more than reasoning. So, let's consider it as approximately 35-40 marks. So, in such a situation, and you have very little time, approximately two months. So, you have very little time. So, to take that preparation to a different level, we have started this chapter, in which I will try my best to bring you all the things daily live. Right? Other things, you all know about the exam, so I won't talk much about that. We will directly get to the point. Right? As for the introduction, I don't think it's necessary. As we move forward, you will understand more about me. Right? Just let me tell you my name, it's Hemant Shah, and for the last 10 years, I have been teaching mathematics for government recruitment exams in Gujarat, whether it's GPSC, GPSC Class 1-2, Class 3, PSI, Constable, Police, Gujarat Public Service Selection Board, whatever recruitment comes from the Gujarat government. And if I talk about the most experience, it's with central government recruitments, like Staff Selection Commission (SSC), recruitments in banks, IBPS, SBI, all these government banks, whatever recruitments come, railways, in short, whatever recruitments come from the center, for the last 10 years, I have been teaching math. It's not new for me to teach in Gujarati, but it's my first experience to come live and deliver a lecture directly in Gujarati. Right? So, to speak frankly, let's start.

So, finally, let's start with the topic. Right? Numbers and Their Types. Because you know, if we start with the basics, no doubt, some people might be at their own level. Some people might start mathematics with square roots, square roots, and many other topics. But I believe that if children start learning from zero, then first, they should understand what a number is. So, today's session will be about numbers, how many types of numbers there are, and we will look at the details of those numbers. Right? So, first of all, let's start by trying to understand what numbers are. What is the definition of numbers? So, basically, if we talk about it, today, for us to do calculations, or to measure something, or to mark a value on something, we need some symbols. So, basically, the symbols we use, in very simple language, are called numbers. To do calculations, to measure, or to mark a value on something, whatever symbols are used, in simple language, they are called numbers. Let's try to understand. It's very simple. So, now, the question arises, what kind of symbols are these? So, in this, we use a total of 10 symbols, from zero to nine. So, these symbols from zero to nine, we use them. So, these total 10 symbols that you see, they are actually called digits. So, there are two things: digits and numbers. So, what are digits? So, you understand that we have to use symbols for calculations. For calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. 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So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. 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So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. 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So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. 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So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. 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So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. 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So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. 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So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. 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So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. 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So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. 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So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. 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So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. 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So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. 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So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. 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So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. 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So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. 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So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. 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So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. 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So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. 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So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. 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So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. 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So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. 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So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. 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So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. 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So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. 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So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. 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So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. 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So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. 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So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. 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So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. 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So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know them as digits. So, it's clear that what are digits? So, for calculations, we will use numbers. For calculations, we will use symbols. There are a total of 10 symbols. These 10 symbols, we know

But let's proceed, shall we? Let's clarify. Inside, we have the concept of integers and fractions. When we combine them, we get rational numbers. Then, if we consider irrational numbers and combine them with rational numbers, what do we get? It's simple. When we combine rational and irrational numbers, we get a new set of numbers. We call these numbers real numbers.

Real numbers, in English, are called "real numbers." To represent them, we use the symbol capital 'R'. Keep this in mind. So, what exactly falls under real numbers? All rational and irrational numbers. If we truly look at it, the set of real numbers is nothing but the union of rational and irrational numbers. If we break down rational and irrational numbers, the numbers that come into this set are called real numbers. This means that all the numbers we have learned so far are included within real numbers. In our day-to-day lives, the numbers we use in our practical lives are also real numbers. They have a true existence.

So, if someone asks you for the smallest real number or the largest real number, you can say that real numbers encompass natural numbers, integers, whole numbers, rational numbers, and irrational numbers. Clear? Okay. So, let's make sure everyone understands this clearly. Regarding real numbers, I will explain it to you. Next, if there's a need, I will try to explain a few small points. Sometimes, in many books, there's another set of numbers called imaginary numbers.

So, what are these "unreal" numbers? They are called imaginary numbers. They are called imaginary numbers because we can only imagine them; they don't truly exist. Then you might ask, "If they don't exist, why learn about them?" I don't know the exact reason, but let me explain a small thing. Imaginary numbers are used in situations where there are no real solutions. For example, if you are asked to find the square root of a negative number, you might have learned in school that the square root of a negative number doesn't exist.

This means that in such situations, where you need a solution but it's not possible with real numbers, you can use imaginary numbers. For example, let's say you are asked to find the square root of -4. You can't find a real number whose square is -4. If you try to find the square root of -4, you can write it as the square root of 4 multiplied by -1. Then, you can separate the square roots: the square root of 4 and the square root of -1. The square root of 4 is 2. For the square root of -1, we introduce an imaginary unit, denoted by 'i'. So, the square root of -4 becomes 2i. This '2i' is called an imaginary number. It doesn't have a real existence, but we use it to find solutions in certain mathematical contexts.

So, if we square 2i, we get (2i)^2 = 4 * i^2. Since i^2 = -1, we get 4 * (-1) = -4. Thus, 2i is the square root of -4. This is how imaginary numbers are used.

So, we have real numbers, which have a true existence and are used in our practical lives, and imaginary numbers, which don't have a real existence but are used for mathematical purposes.

Now, what if we have numbers that contain both real and imaginary parts? These are called complex numbers. Complex numbers have two parts: a real part and an imaginary part. For example, 3 + 2i is a complex number. Here, 3 is the real part, and 2i is the imaginary part.

We can represent the relationship between different types of numbers using a number tree. Natural numbers are a subset of whole numbers, whole numbers are a subset of integers, integers are a subset of rational numbers, rational numbers are a subset of real numbers, and real numbers, along with imaginary numbers, form complex numbers.

This understanding of number systems is crucial for mathematics. It's not about memorizing but about understanding the relationships between different sets of numbers.

So, we have covered natural numbers, whole numbers, integers, rational numbers, irrational numbers, real numbers, imaginary numbers, and complex numbers. This is a fundamental understanding of number systems.

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Number System | સંખ્યાઓ અને તેના પ્રકાર | CCE અને POLICE ભરતી માટે ખાસ | GPSC

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