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# NCERT Solutions for Class 6th Mathematics

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## Chapter 6. Integers

### Exercise 6.3

Exercise 6.3

Q1. Find
(a) 35 – (20)

(b) 72 – (90)
(c) (– 15) – (– 18)

(d) (–20) – (13)
(e) 23 – (– 12)

(f) (–32) – (– 40)

Solution:

(a) 35 – (20)

(b) 72 – (90)

(c) (– 15) – (– 18)

= - 15 + 18

(d) (–20) – (13)

= - 20 - 13

(e) 23 – (– 12)

= 23 + 12

(f) (–32) – (– 40)

= - 32 + 40

Q2. 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)

Solution:

(a) (– 3) + (– 6) ______ (– 3) – (– 6)

= - 9 __________ - 3 + 6

= - 9 < 3 Answer
(b) (– 21) – (– 10) _____ (– 31) + (– 11)

= - 21 + 10 ________ - 31 - 11

= - 11 > - 42 Answer

(c) 45 – (– 11) ______ 57 + (– 4)

= 45 + 11 _____ 57 - 4

(d) (– 25) – (– 42) _____ (– 42) – (– 25)

= - 25 + 42 ______ - 42 + 25

= 17 > - 17 Answer

Q3. Fill in the blanks.
(a) (– 8) + _____ = 0
(b) 13 + _____ = 0
(c) 12 + (– 12) = ____
(d) (– 4) + ____ = – 12
(e) ____ – 15 = – 10

Solution :

(a) (– 8) + _____ = 0

= - 8 + 8 = 0

(b) 13 + _____ = 0

= 13 + (- 13) = 0

(c) 12 + (– 12) = ____

= 12 + (-12) =

(d) (– 4) + ____ = – 12

= - 4 + (-8) = - 12

(e) ____ – 15 = – 10

= 5 - 15 = - 10

Q4. Find
(a) (– 7) – 8 – (– 25)
(b) (– 13) + 32 – 8 – 1
(c) (– 7) + (– 8) + (– 90)
(d) 50 – (– 40) – (– 2)

Solution :

(a) (– 7) – 8 – (– 25)

= - 7 - 8 + 25

= - 15 + 25

(b) (– 13) + 32 – 8 – 1

= - 13 + 32 - 9

= 32 - 22

(c) (– 7) + (– 8) + (– 90)

= - 7 - 8 - 90

(d) 50 – (– 40) – (– 2)

= 50 + 40 + 2

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