# NCERT Solutions for Class 8 Maths Maths - NCERT Solution Chapter 1

## Rational Numbers Class 8

### Exercise 1.1 : Solutions of Questions on Page Number : 14

Q1 :

Using appropriate properties find:

(i) (ii) (i)  (ii) (By commutativity) Q2 :

Write the additive inverse of each of the following:

(i) (ii) (iii) (iv) (v) (i) Additive inverse = (ii) Additive inverse = (iii) Additive inverse = (iv) Additive inverse (v) Additive inverse Q3 :

Verify that - ( - x) = x for.

(i) (ii) Q4 :

Find the multiplicative inverse of the following.

(i) (ii) (iii) (iv) (v) (vi) - 1

Q5 :

Name the property under multiplication used in each of the following:

(i) (ii) (iii) Q6 :

Multiply by the reciprocal of .

Q7 :

Tell what property allows you to compute .

Q8 :

Is the multiplicative inverse of ? Why or why not?

Q9 :

Is 0.3 the multiplicative inverse of ? Why or why not?

Q10 :

Write:

(i) The rational number that does not have a reciprocal.

(ii) The rational numbers that are equal to their reciprocals.

(iii) The rational number that is equal to its negative.

Q11 :

Fill in the blanks.

(i) Zero has __________ reciprocal.

(ii) The numbers __________ and __________ are their own reciprocals

(iii) The reciprocal of - 5 is __________.

(iv) Reciprocal of , where is __________.

(v) The product of two rational numbers is always a __________.

(vi) The reciprocal of a positive rational number is __________.

### Exercise 1.2 : Solutions of Questions on Page Number : 20

Q1 :

Represent these numbers on the number line.

(i) (ii) Q2 :

Represent on the number line.

Q3 :

Write five rational numbers which are smaller than 2.

Q4 :

Find ten rational numbers between and .

Q5 :

Find five rational numbers between

(i) (ii) (iii) Q6 :

Write five rational numbers greater than - 2.

Find ten rational numbers between and .