# Class 9 RD Sharma Solutions – Chapter 1 Number System – Exercise 1.2

### Question 1. Express the following rational numbers as decimals:

### i) 42/100

### ii) 327/500

### iii) 15/4

**Solutions:**

(i)42/100Using long division method:

So, 42/100 = 0.42

(ii)327/500Using long division method:

So, 327/500 = 0.654

(iii)15/4Using long division method:

So, 15/4 = 3.75

### Question 2. Express the following rational numbers as decimals:

### (i) 2/3

### (ii) – (4/9)

### (iii) – (2/15)

### (iv) – (22/13)

### (v) 437/999

### (vi) 33/26

**Solutions:**

(i)Using long division method:So, 2/3 = 0.66.. =

(ii)Using long division method:So, -4/9 = -0.44.. =

(iii)Using long division method:So, -2/15 = (- 0.133..) =

(iv)-22/13 = -(1 + 9/13)Using long division method:

So, -22/3 = -(1.692307…) =

(v)437/999Using long division method:

So, 437/999 = 0.437… =

(vi)33/26 =Using long division method:

So, 33/26 = 1.2692307… =

### Question 3. Look at several examples of rational numbers in the form p/q (q ≠ 0), where p and q are integers with no common factors other than 1 and having terminating decimal representations. Can you guess what property q must satisfy?

**Solution:**

p/q will be terminating decimal when prime factorization of q must have factors 2 or 5 or both.

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