NCERT Solutions Class 6 Maths
Chapter – 6 (Integers)
The NCERT Solutions in English Language for Class 6 Mathematics Chapter – 6 Integers Exercise 6.3 has been provided here to help the students in solving the questions from this exercise.
Chapter 6: Integers
Exercise – 6.3
1. Find
(a) 35 – (20)
(b) 72 – (90)
(c) (-15) – (-18)
(d) (-20) – (13)
(e) 23 – (-12)
(f) (-32) – (-40)
Solutions:
(a) 35 – (20)
= 35 – 20
= 15
(b) 72 – (90)
= 72 – 90
= -18
(c) (-15) – (-18)
= -15 + 18
= 3
(d) (-20) – (13)
= -20 – 13
= -33
(e) 23 – (-12)
= 23 + 12
= 35
(f) (-32) – (-40)
= -32 + 40
= 8
2. Fill in the blanks with >, < or = sign.
(a) (–3) + (–6) ______ (–3) – (–6)
(b) (–21) – (–10) _____ (–31) + (–11)
(c) 45 – (– 11) ______ 57 + (– 4)
(d) (–25) – (–42) _____ (– 42) – (–25)
Solutions:
(a) (–3) + (–6) ______ (–3) – (–6)
(-3) + (-6) = – 9
(-3) – (-6) = – 3 + 6 = 3
-9 < 3
Therefore (-3) + (-6) < (-3) – (-6)
(b) (–21) – (–10) _____ (–31) + (–11)
-21 – (-10)
= -21 + 10 = -11
– 31 + (-11)
= -31 – 11 = -42
-11 > -42
Therefore (-21) – (-10) > (-31) + (-11)
(c) 45 – (– 11) ______ 57 + (– 4)
45 – (-11)
= 45 + 11 = 56
57 + (-4)
= 57 – 4 = 53
56 > 53
Therefore 45 – (-11) > 57 + (-4)
(d) (–25) – (–42) _____ (– 42) – (–25)
(-25) – (-42)
= -25 + 42 = 17
-42 – (-25) =
-42 + 25 = -17
17 > -17
Therefore (-25) – (-42) > (-42) – (-25)
3. Fill in the blanks.
(a) (–8) + _____ = 0
(b) 13 + _____ = 0
(c) 12 + (–12) = ____
(d) (–4) + ____ = –12
(e) ____ – 15 = – 10
Solutions:
(a) (-8) + 8 = 0
(b) 13 + (-13) = 0
(c) 12 + (-12) = 0
(d) (-4) + (-8) = -12
(e) 5 – 15 = -10
4. Find
(a) (–7) – 8 – (–25)
(b) (–13) + 32 – 8 – 1
(c) (–7) + (–8) + (–90)
(d) 50 – (–40) – (–2)
Solutions:
(a) (-7) – 8 – (-25)
= -7 – 8 + 25
= -15 + 25
= 10
(b) (-13) + 32 – 8 – 1
= -13 + 32 – 8 – 1
= 32 – 22
= 10
(c) (-7) + (-8) + (-90)
= -7 – 8 – 90
= – 105
(d) 50 – (-40) – (-2)
= 50 + 40 + 2
= 92