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NCERT · Class 6 · Maths

Chapter 6: Integers

Practice each question, then open the answer or worked solution.

Exercise 6.3

Textbook page 131 · 4 questions
Q1Written answer

Find

(a) 35 – (20)

(b) 72 – (90)

(c) (-15) – (-18)

(d) (-20) – (13)

(e) 23 – (-12)

(f) (-32) – (-40)

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Worked solution

(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

Q2Written answer

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)

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Worked solution

(a) (-3) + (-6) = -9

(-3) – (-6) = -3 + 6 = 3

-9 < 3

Therefore, (-3) + (-6) < (-3) – (-6)

(b) -21 – (-10) = -21 + 10 = -11

-31 + (-11) = -42

-11 > -42

Therefore, (-21) – (-10) > (-31) + (-11)

(c) 45 – (-11) = 45 + 11 = 56

57 + (-4) = 57 – 4 = 53

56 > 53

Therefore, 45 – (-11) > 57 + (-4)

(d) (-25) – (-42) = -25 + 42 = 17

-42 – (-25) = -42 + 25 = -17

17 > -17

Therefore, (-25) – (-42) > (-42) – (-25)

Q3Written answer

Fill in the blanks.

(a) (–8) + _____ = 0

(b) 13 + _____ = 0

(c) 12 + (–12) = ____

(d) (–4) + ____ = –12

(e) ____ – 15 = – 10

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Worked solution

(a) (-8) + 8 = 0

(b) 13 + (-13) = 0

(c) 12 + (-12) = 0

(d) (-4) + (-8) = -12

(e) 5 – 15 = -10

Q4Written answer

Find

(a) (–7) – 8 – (–25)

(b) (–13) + 32 – 8 – 1

(c) (–7) + (–8) + (–90)

(d) 50 – (–40) – (–2)

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Worked solution

(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

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