# NCERT Solutions for Class 8 Math Chapter 1 - Rational Numbers

##### Question 1:

Fill in the blanks in the following table:  ##### Question 2:

Complete the following table:  ##### Question 3:

Complete the following table:  ##### Question 4:

Find using distributivity  ##### Question 5:

Find using distributivity  ##### Question 6:

Using appropriate properties find:  ##### Question 7:

Using appropriate properties find:  ##### Question 8:

Write the additive inverse of the following:  ##### Question 9:

Write the additive inverse of the following:  ##### Question 10:

Write the additive inverse of the following:  ##### Question 11:

Write the additive inverse of the following:  ##### Question 12:

Write the additive inverse of the following:  ##### Question 13:

Verify that: −(−x) = x for:  ##### Question 14:

Verify that: −(−x) = x for:  ##### Question 15:

Find the multiplicative inverse of the following:
–13 ##### Question 16:

Find the multiplicative inverse of the following:  ##### Question 17:

Find the multiplicative inverse of the following:  ##### Question 18:

Find the multiplicative inverse of the following:  ##### Question 19:

Find the multiplicative inverse of the following:  ##### Question 20:

Find the multiplicative inverse of the following:
–1 ##### Question 21:

Name the property under multiplication used of the following: Multiplicative identity.

##### Question 22:

Name the property under multiplication used of the following: Commutative property of multiplication.

##### Question 23:

Name the property under multiplication used of the following: Multiplicative inverse.

##### Question 24:  ##### Question 25:

Tell what property allows you to compute: Associativity of multiplication.

##### Question 26:  ##### Question 27:  ##### Question 28:

Write:
(i) The rational number that does not have a reciprocal.
(ii) The rational numbers that are equal to their reciprocals.
(iii) The rational numbers that is equal to their negative.

(i) (ii) 1 and (–1).
(iii) Zero.

##### Question 29:

Zero has _______________reciprocal.

no

##### Question 30:

The numbers ______________ and ____________ are their own reciprocals.

1 and –1

##### Question 31:

The reciprocal of –5 is ___________ . ##### Question 32:

Reciprocal of , where x $\ne$ 0 is _____________.

x

##### Question 33:

The product of two rational numbers is always a _____________.

rational number

##### Question 34:

The reciprocal of a positive rational number is __________.

positive

##### Question 35:

Represent these numbers on the number line:  ##### Question 36:  ##### Question 37:

Write five rational numbers which are smaller than 2. ##### Question 38:  ##### Question 39:

Find five rational numbers between   ##### Question 40:

Write five rational numbers greater than −2.

Five rational numbers greater than −2 are given by : –1, 0, 1, 2, 3, 4, 5 etc.

##### Question 41: First convert them to rational numbers, with the same denominators. ##### Question 42:

Write the rational number for each point labelled with a letter.    