Haryana State Board HBSE 9th Class Maths Solutions Chapter 1 Number Systems Ex 1.4 Textbook Exercise Questions and Answers.

## Haryana Board 9th Class Maths Solutions Chapter 1 Number Systems Exercise 1.4

Question 1.

Visualise 3.765 on the number line, using successive magnification.

Solution :

For visualizing the representation of 3.765 on the number line, we observe that 3-765 is located between 3 and 4. We divide it into 10 equal parts and mark each point of divisions as shown in the figure 1.12. In the next step, we lo ate 3.765 between 3.7 and 3.8.

To get more accurate visualization of the representation, we divide this portion of the number line into 10 equal parts and use a magnifying glass to visualize that 3.765 lies between 3.76 and 377. To visualize 3.765 more accurately, we divide again the portion between 3.76 and 3.77 into ten equal parts and visualize the representation of 3.765 as shown in the figure.

Question 2.

Visualise \(4 \cdot \overline{26}\) on the number line, upto 4 decimal places.

Solution:

We have,

\(4 \cdot \overline{26}\) = 4.2626. For visualizing the representation of \(4 \cdot \overline{26}\) on the number line, we observe that \(4 \cdot \overline{26}\) is located between 4 and 5. We divide it into 10 equal parts and mark each point of divisions as shown in the figure 1.13. In the next step, we locate \(4 \cdot \overline{26}\) between 4.2 and 4.3.

To get more accurate visualization of the representation, we divide this portion of the number line into 10 equal parts and use a magnifying glass to visualize that \(4 \cdot \overline{26}\) lies between 4.26 and 4.27. To visualize \(4 \cdot \overline{26}\) more accurately, we again divide this portion between 4.26 and 4.27 into 10 equal parts and use a magnifying glass to visualize that \(4 \cdot \overline{26}\) between 4.262 and 4.263.

Now visualize \(4 \cdot \overline{26}\) still more accurately, we divide this portion between 4.262 and 4.263 into 10 equal parts and visualize the representation of \(4 \cdot \overline{26}\) as shown in the figure.