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Chapter 1: Integers Exercise – 1.2

Question: 1

Divide:

(i) 102 by 17

(ii) –85 by 5

(iii) –161 by –23

(iv) 76 by –19

(v) 17654 by –17654

(vi) (–729) by (–27)

(vii) 21590 by – 10

(viii) 0 by –135

Solution:

(i) We have,

(ii) We have,

(iii) We have,

(iv) We have,

(v) We have,

(vi) We have,

(vii) We have,

(viii) We have,

 

Question: 2

 Fill in the blanks:

 (i) 296 ÷ …. = - 148

(ii) – 88 ÷ …. = 11

(iii) 84 ÷ …. = 12

(v) …. ÷ 156 = - 2

(vi)  …. ÷ 567 = - 1

Solution:

(i)  We have,

(ii) We have,

(iii) 84/12 = 7

(iv)  …. ÷ -5 = 25

25 × (- 5) = - 125

(v) …. ÷ 156 = - 2

- (156 × 2)

= – 312

(vi) x/567 = - 1

⇒ x = - (567 × 1)

= – 567

∴ - (567/567) = -1

 

Question: 3

Which of the following statements are true?

(i) 0 ÷ 4 = 0

(ii) 0 ÷ (-7) = 0

(iii) -15 ÷ 0 = 0

(iv) 0 ÷ 0 = 0

(v) (- 8) ÷ (- 1) = - 8

(vi) – 8 ÷ (- 2) = 4<

Solution:

(i) True

(ii) True

(iii) False

(iv) False

(v) False

(vi) True


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