NCERT Solutions Class 6th Maths Chapter – 6 Integers Exercise – 6.2

Question 1. Using the number line write the integer which is-

(a) 3 more than 5

Solution –

3 more than 5

Moving right 3 steps from 5, we reach at 8. Hence, 3 more than 5 = 8.

(b) 5 more than -5

Solution – 

5 more than -5

Moving right 5 steps from -5 we reach at 0. Hence, 5 more than -5 = 0

(c) 6 less than 2

Solution – 

6 less than 2

Moving left 6 steps from 2, we reach at -4. Hence, 6 less than 2 = -4

(d) 3 less than -2 

Solution – 

3 less than -2

Moving left 3 steps from -2, we reach at -5.

Question 2. Use number line and add the following integers:

(a) 9 + (-6)

Solution –

9 + (- 6)

Hence, 9 + (-6) = 3.

(b) 5 + (-11)

Solution –

5 + (-11)

Hence, 5 + (-11) = – 6.

(c) (-1) + (-7)

Solution –

(-1) + (-7)

Hence, (-1) + (-7) = (-8).

(d) (- 5) + 10

Solution –

(- 5) + 10

Hence, (-5) + 10 = 5.

(e) (-1) + (-2) + (-3)

Solution –

(-1) + (-2) + (-3)

Hence, (-1) + (-2) + (-3) = (-6). 

Question 3. Add without using number line-

(а) 11 + (-7)

Solution – 

= 11 + (-7)
= 4

(b) (-13) + (18)

Solution – 

= (-13) + (+18)
= 5

(c) (-10) + (19)

Solution – 

= (-10) + (+19)
= 9

(d) (-250) + (150)

Solution – 

= (-250) + (+150)
= -100

(e) (-380) + (-270)

Solution – 

= (-380) + (-270)
= -650

(f) (-217) + (-100)

Solution – 

= (-217) + (-100)
= -317

Question 4. Find the sum of-

(a) 137 and -354

Solution – 

= 137 and -354
= (137) + (-354)
= (137) + (-137) + (-217)
= 0 + (-217) [(137) + (-137) = 0]
= (-217)
= -217

(b) -52 and 52

Solution – 

= -52 and 52
= (-52) + (52) [(-a) + (+a) = 0]       
= 0 

(c) -312, 39 and 192

Solution – 

= -312, 39 and 192
= (-312) + (39) + (192)
= (-231) + (-81) + (39) + (192)
= (-231) + (-81) + (231)
= (-231) + (231) + (-81)
= 0 + (-81)
= -81

(d) -50, -200 and 300

Solution – 

= -50, -200 and 300
= (-50) + (-200) + (300)
= (-50) + (-200) + (200) + (100)
= (-50) + 0 + (100)
= (-50) + (100)
= (-50) + (50) + (50) 
= 0 + (50)
= 50

Question 5. Find the sum of-

(a) (- 7) + (-9) + 4 + 16

Solution – 

= (-7) + (-9) + 4 + 16
= (-7) + (-9) + 4 + (7) + (9)
= (-7) + (7) + (-9) + (9) + 4
= 0 + 0 + 4
= 4

(b) (37) + (-2) + (-65) + (-18)

Solution –

= (37) + (-2) + (-65) + (-8)
= (37) + (-75)
= (37) + (-37) + (-38)
= 0 + (-38)
= -38