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**Q.1. Visualise 3.765 on the number line, using successive magnification.Ans.** 3.765 lies between 3 and 4.

Let us divide the interval (3, 4) into 10 equal parts.

Since, 3.765 lies between 3.7 and 3.8. We again magnify the interval [3.7, 3.8] by dividing it further into 10 parts and concentrate the distance between 3.76 and 3.77.

The number 3.765 lies between 3.76 and 3.77. Therefore we further magnify the interval [3.76, 3.77] into 10 equal parts.

Now, the point corresponding to 3.765 is clearly located, as shown in Fig. (iii) above.**Q.2. Visualise on the number line, up to 4 decimal places.****Ans. Note:** We can magnify an interval endlessly using successive magnification.

To visualize or 4.2626â€¦ on the number line up to 4 decimal places, we use the following steps.**I.** The number 4.2626â€¦ lies between 4 and 5. Divide the interval [4, 5] in 10 smaller parts:

**II.** Obviously, the number 4.2626... lies between 4.2 and 4.3. We magnify the interval [4.2, 4.3]:

**III. **Next, we magnify the interval [4.26, 4.27]:

**IV. **Finally magnify the interval [4.262, 4.263]:

In Fig. (iv), we can easily observe the number 4.2626â€¦ or .

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