RD Sharma Solutions Class 7 Maths Integers - Exercise 1.2

Q.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

Ans: 

(i) 102  ÷ 17 = =  = 6

(ii) −85  ÷  5 = − = − = − 17

(iii) −161  ÷ ( − 23)  =  ==  7

(iv) 76   ÷  − 19 =  − =  = − 4

(v) 17654   ÷  (− 17654) =  − |= −= − 1

(vi) (−729)  ÷  (− 27) =  = =  27

(vii) 21590   ÷  − 10 = − = −= − 2159

(viii) 0  ÷ (−135) = −= −= 0

Q.2. Fill in the blanks:

(i) 296 ÷ ... = −148

(ii) −88 ÷ ... = 11

(iii) 84 ÷ ... = 12

(iv) ....... ÷ −5 = 25

(v) ....... ÷ 156 = −2

(vi) ....... ÷ 567 = −1

Ans: 

(i) 296  ÷ −148 = = 2

∴ 296 ÷ (−2) = −148

(ii) − 88  ÷ 11 = = - 8

∴ −88 ÷ −8 = 11

(iii) 84  ÷ 12 =  = 7

(iv) 25 × (−5) = −125

∴ −125 ÷ −5 = 25

(v) 156 × (−2) = −312

∴ −312 ÷ 156 = −2

(vi) 567 × (−1) = −567

∴ −567 ÷ 567 = −1

Q.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

Ans: 

(i)

LHS == 0

= RHS

Because LHS is equal to RHS, the equation is true.

(ii)

LHS == -0 = 0

= RHS

Because LHS is equal to RHS, the equation is true.

(iii)

LHS == Not defined
≠RHS

Because LHS is not equal to RHS, the equation is false.

(iv) 

LHS == Not defined

≠RHS

Because LHS is not equal to RHS, the equation is false.

(v)

LHS = = 8

≠ RHS

Because LHS and RHS are not equal, the equation is false.

(vi)

LHS = = 4

= RHS 

Because LHS is equal to RHS, the equation is true.