Question

Represent the following numbers on the number line

`4.bar(73)` upto 4 decimal places

Answer 1

`4.bar(73)` = 4.737373 ……..

= 4.737374 ...(correct to 4 decimal places 4.7374 lies between 4 and 5)

Steps of construction:

1. Divide the distance between 4 and 5 into 10 equal parts.

2. Mark the point 4.7 which is third from the left of 5 and seventh from the right of 4.

3. 4.73 lies between 4.7 and 4.8. Divide the distance into 10 equal intervals.

4. Mark the point 4.73 which is seventh from the left of 4.80 and third from the left of 4.70.

5. 4.737 lies between 4.73 and 4.74. Divide the distance into 10 equal intervals.

6. Mark the point 4.737 which is third from the left of 4.740 and seventh from the right of 4.730.

7. 4.7374 lies between 4.737 and 4.738. Divide the distance into 10 equal intervals.

8. Mark the point 4.7374 which is sixth from the left of 4.7380 and fourth from the right of 4.7370.