Here we are giving some practice questions based on rational numbers.

**1. Are the following statements are true or false? Give reason for your answers.**

(i) every whole number is a natural numbers.

(ii) every integer is a rational number .

(iii)There are infinitely many rational numbers between any two given rational numbers.

(iv) 0 is a rational number.

(V)Every rational number is a whole number.

ANS. (i) False , beacuse ‘0’ is a whole number not a natural number.

(ii)True, because every integer can be expressed in the form , so it is a rational number.

(iii) True

(iv) True , since we can write

(v)false

**2. Find six rational numbers between 3 and 4. **

Sol. To find a rational number between and we can add and and divide the sum by 2 that is lies between and .

Now let =3 and =4 , then = is a number lying between 3 and 4 .

Next let =3 and =, then is also a number lying between 3 and 4.

Rational no. between is .

Proceeding in the same manner the six rational numbers between 3 and 4 are , .

**3. Express the decimal in the form where and are integers and .**

**Sol. let . **Since two digits are repeating, we multiply by by 100 to get

So,

Therefore

i.e. , which gives

Hence , ** =.**