# S.chand books class 8 maths solution chapter 1 Rational Numbers exercise 1 C

## Exercise 1 C

#### Question 1

Answer True (T) or False (F)
(i)

Sol : F
(ii) Addition distributes over multiplication in rational numbers .

Sol : F
(iii) The reciprocal of -8 is

Sol : F
(iv) is a rational numbers .

Sol : T
(v) implies that 0 is the multiplicative identity for rational numbers .

Sol : F

(i)

Sol:

(ii)

Sol:

(iii)

Sol:

(iv)

Sol:

(v)

Sol:

(vi) -6 by

Sol :

Simplify :

(i)

Sol :

=0

(ii)

Sol :

#### Question 4

Fill in the blanks.
(i)

(ii)

(iii)

(iv)

(v)

Verify the statements given in questions 5 to 7 . Also , name the properties of multiplication illustrated by these statements.

#### Question 5

(i)

Sol :

by commutative property

(ii)

Sol :

by commutative property

#### Question 6

(i)

Sol :

By associative property

(ii)

Sol :

By associative property

#### Question 7

(i)

Sol :

LCM OF 5,8 is 40

LCM of 15 , 24  is 120

(ii)

Sol :

#### Question 8

Use the distributivity of multiplication of rational numbers over addition to simplify:

(i)

Sol :

(ii)

Sol :

(iii)

Sol :

#### Question 9

Find the multiplication inverse , i.e., the reciprocal of

(i) 8

Sol :

(ii) -18

Sol :

(iii)

Sol :

(iv)

Sol :

(v)

Sol :

(vi)

Sol : or

(vii)

Sol :

(viii)

Sol : 0

#### Question 10

Match the mathematical sentence in Column A with the property illustrated by the statement in Column B

Column AColumn B
(i) (a) Property of 1
(ii) (b) Closure Property
(iii) (c) Property of 0
(iv) (d) Commutative Property
(v) (e) Multiplicative Inverse

Sol :

(i)→ (c)

(ii)→ (a)

(iii) (e)

(iv)→ (b)

(v)→ (d)

Divide:

(i)

Sol :

(ii)

(iii)

Sol :

(iv)

(v)

Sol :

(vi)

Sol :

#### Question 12

Evaluate:

(i)

Sol :

(ii)

Sol :

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