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**Q1. Express each of the following decimals in the form of rational number.**

**(i) 0.39**

**(ii) 0.750**

**(iii) 2.15**

**(iv) 7.010**

**(v) 9.90**

**(vi) 1.0001**

**Solution:**

(i) Given,

0.39 = 39/100

(ii) Given,

0.750 = 750/1000

(iii) Given,

2.15 = 215/100

(iv) Given,9.101

(iv) Given,

7.010 = 7010/1000

(v) Given,

9.90 = 990/100

(vi) Given,

1.0001 = 10001/10000

**Q2. Express each of the following decimals in the form of rational number (p/q)**

** **

**(i) **

**(ii) **

**Solution:**

(i) Let x =

Then, x = = 0.444… ___ (a)

Multiplying both sides of equation (a) by 10, we get,

10x = 4.44.... ___ (b)

Subtracting equation (1) by (2)

9x = 4

x = 4/9

Hence, = x = 4/9

(ii) Let x =

Then, x = = 0.3737… ___ (a)

Multiplying both sides of equation (a) by 100, we get,

100 x = 37.37.... ___ (b)

Subtracting equation (1) by (2)

99 x = 37

x = 37/99

Hence, = x = 37/99