# Visualize 3.765 on the number line, using successive magnification

**Solution:**

i) 3.7 lies between 3 & 4. So, we divide the portion between 3 & 4 on the number line into 10 equal parts

ii) 3.76 lies between 3.7 and 3.8. So, we divide the portion between 3.7 and 3.8 on the number line into 10 equal parts.

iii) 3.765 lies between 3.76 and 3.77. So in the final step, we divide the portion between 3.76 and 3.77 on the number line into 10 equal parts.

Hence by the successive magnification method, the required number 3.765 is obtained on the number line as shown in the above image.

**☛ Check: **Class 9 Maths NCERT Solutions Chapter 1

**Video Solution:**

## Visualize 3.765 on the number line, using successive magnification

NCERT Solutions Class 9 Maths Chapter 1 Exercise 1.4 Question 1

**Summary:**

Using successive magnification, 3.765 is visualized on a number line between 3.76 and 3.77.

**☛ Related Questions:**

- Visualize 4.26 on the number line, up to 4 decimal places.
- Classify the following numbers as rational or irrational: i) 2 - √5 ii) (3 + √23) - √23 iii) 2√7 ÷ 2√7 iv) 1/√2 v) 2π.
- Simplify each of the following expressions: (i) (3 + √3)(2 + √2) (ii) (3 + √3)(3 - √3) (iii) (√5 + √2)² (iv) (√5 - √2)(√5 + √2)

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