This is the next question, the next question is from exercise 1.4 and the question is this. Visualize 3.765 on the number line using successive magnification. So, we want to visualise 3.765, where, on the number line, okay, using successive magnification.

So, let us draw a number line, right. So, I am drawing a number line and we will make 10 divisions on this number line at a gap of one, one centimetre each, okay, or you can take two, two centimetres it doesn’t make any difference. At the centre we will write zero on the right side of zero we will have 0, 1, 2, 3, 4, 5 and so on. On the left of zero we will have negative numbers, right. Now, visualise 3.765, the number given to us is 3.765. 3.765 lies between which two numbers on this number line. 3.765 lies between 3 and 4. So, what we are going to do, now we are going to magnify the part between 3 and 4. So, what we are going to do is we are going to draw one more number line and make 10 equal parts in that between 3 and 4, right. So, let us draw one more number line, okay and make 10 equal parts between whom, 3 and 4, right. Now, 3 can also be written as 3.0, 4 can also be written as 4.0. After 3.0 which is the next number? It is going to be 3.1, 3.2, 3.3, 3.4, 3.5, 3.6, 3.7, 3.8, 3.9 and the last is 4.0. The number given to us is 3.765. 3.765 will lie between what and what, which two numbers? 3.765 lies between 3.7 and 3.8. Now, what we are going to do is again we are going to magnify the part between 3.7 and 3.8. So, what we are going to do is we are going to make 10 equal parts between 3.7 and 3.8, right. So, we are going to draw one more number line, okay, and make 10 divisions in it, right, 10 divisions in it and we are going to mark the first one as 3.7 and we are going to mark the last one as 3.8. This 3.7 can be written as 3.70 and this 3.8 could be written as 3.80, right. Now, after 3.70 which is the next one 3.71, 3.72, 3.73, 3.74, 3.75, 3.76, 3.77, 3.78, 3.79 and the last is 3.80. The number given to us is 3.765. 3.765 lies between which two numbers in this third number line? 3.765 lies between 3.76 and 3.77. Now, what we are going to do is we are going to magnify the part between 3.76 and 3.77 and since we are going to magnify this part between 3.76 and 3.77, what are we going to do is that we are going to make 10 equal parts between 3.76 and 3.77 by drawing one more number line. So, let us draw one more number line and make 10 divisions in it, right, 10 divisions in it. And the first division we will write 3.76 and 3.76 can be written as 3.760 and the last one will be 3.77, it could be written as 3.770. And the numbers following 3.760 will be 3.761, 3.762, 3.763, 3.764, 3.765, 3.766, 3.767, 3.768, 3.769 and the last is 3.770. The number given or visualisation is 3.765. So, can we see 3.765 on the number line? So, this is how we are visualising 3.765 on the number line using successive magnification, right.

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