NCERT Solutions Class 6th Maths Chapter – 6 Integers Exercise – 6.3

Question 1. Find-

(a) 35 – (20)

Solution –

= 35 – 20
= 15

(b) 72 – (90)

Solution –

= 72 – 90
= -18

(c) (-15) – (-18)

Solution –

= -15 + 18
= 3

(d) (-20) – (13)

Solution –

= -20 – 13
= -33

(e) 23 – (-12)

Solution –

= 23 + 12
= 35

(f) (-32) – (-40)

Solution –

= -32 + 40
= 8

Question 2. Fill in the blanks with >, < or = sign.

(a) (-3) + (-6) ______ (-3) – (-6)

Solution –

(-3) + (-6)
= (–3) – 9
= – 9

and, (-3) – (-6)
= (-3) + 6
= 3

Here, – 9 < 3
∴ (- 3) + (- 6) < (- 3) – (- 6)

(b) (-21) – (-10) ______ (- 31) + (-11)

Solution –

(-21) – (-10)
= (-21) + 10
= -11

and, (-31) + (-11)
= – (31 + 11)
= – 42

Here, -42 < -11 or -11 > -42
∴ (-21) , -(-10) > (-31)+ (-11)

(c) 45 – (-11) _____ 57 + (-4)

Solution – 

45 – (-11)
= 45 + 11
= 56

and, 57 + (-4)
= 57 -4
= 53

Here, 56 >53
∴ 45 – (-11) > 57 + ( -4)

(d) (-25) – (-42) ______ (-42) – (-25)

Solution – 

(-25) – (-42)
= -25 + 42
= 17

and, (-42) – (-25)
= -42 + 25
= -17

Here, 17 > -17
∴ (-25) – (-42) > (-42) – (-25)

Question 3. Fill in the blanks.

(a) (-8) + …. = 0
(b) 13 + …. = 0
(c) 12 + (-12) = ….
(d) (-4) + …. = – 12
(e) …. -15 = – 10.

Solution –

(a) (-8) + 8 = 0
(b) 13 + (-13) = 0
(c) 12 + (-12) = 0
(d) (-4) + (-8) = -12
(e) 5 – 15 = -10

Question 4. Find-

(a) (-7) – 8 – (-25)

Solution –

= (-7) – 8 – (-25)
= -7 -8 + 25
= -15 + 25
= 10

(b) (-13) + 32 – 8 – 1

Solution – 

= (-13) + 32 – 8 – 1
= -13 + 32 – 8 – 1
= 32 – 22
= 10

(c) (-7) + (-8) + (-90)

Solution –

= (-7) + (-8) + (-90)
= – (7 + 8) + (-90)
= -15 + (-90)
= -(15 + 90)
= -105.

(d) 50 – (-40) – (-2)

Solution –

= 50 – (-40) – (-2)
= 50 – [- 40 – 2]
= 50 – (-42)
= 50 + 42
= 92