Exercise 1.4

Q1. Visualise `3.765` on the number line using successive magnification.

Sol. :

1) We take 3 and 4 on the number line, after magnifying it we get 3.7 and 3.8.

2) We take 3.7 and 3.8 on the number line, after magnifying it we get 3.76 and 3.77.

3) We take 3.76 and 3.77 on the number line, after magnifying it we get 3.765.

Thus, the required number 3.765.

Q2. Visualise `4.\overline{26}` on the number line, up to `4` decimal places.

Sol. :

1) We take 4 and 5 on the number line, after magnifying it we get 4.2 and 4.3.

2) We take 4.2 and 4.3 on the number line, after magnifying it we get 4.26 and 4.27.

3) We take 4.26 and 4.27 on the number line, after magnifying it we get 4.262 and 4.263.

4) We take 4.262 and 4.263 on the number line, after magnifying it we get 4.2626.

Thus, the required number 4.2626 = `4.\overline{26}` upto 4 decimal places.

NCERT Class 9th solution of Exercise 1.1