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NCERT · Class 6 · Maths

Chapter 6: Integers

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

Exercise 6.2

Textbook page 128 · 5 questions
Q1Multiple choice

Using the number line, write the integer which is:

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Correct option: A
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Worked solution

(a)

NCERT Solutions for Class 6 Maths Chapter 6 Exercise 6.2 - 1

Hence, 8

(b) NCERT Solutions for Class 6 Maths Chapter 6 Exercise 6.2 - 2

Hence, 0

(c)
NCERT Solutions for Class 6 Maths Chapter 6 Exercise 6.2 - 3

Hence, -4

(d)
NCERT Solutions for Class 6 Maths Chapter 6 Exercise 6.2 - 4

Hence, -5

 

Q2Written answer

Use a number line and add the following integers.

(a) 9 + (–6)

(b) 5 + (–11)

(c) (–1) + (–7)

(d) (–5) + 10

(e) (–1) + (–2) + (–3)

(f) (–2) + 8 + (–4)

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Worked solution

(a)

NCERT Solutions for Class 6 Maths Chapter 6 Exercise 6.2 - 5

Hence, 3

(b)

NCERT Solutions for Class 6 Maths Chapter 6 Exercise 6.2 - 6

Hence, -6

(c)

NCERT Solutions for Class 6 Maths Chapter 6 Exercise 6.2 - 7

Hence, -8

(d)

NCERT Solutions for Class 6 Maths Chapter 6 Exercise 6.2 - 8

Hence, 5

(e)

NCERT Solutions for Class 6 Maths Chapter 6 Exercise 6.2 - 9

Hence, -6

(f)

NCERT Solutions for Class 6 Maths Chapter 6 Exercise 6.2 - 10

Hence, 2

Q3Written answer

Add without using a number line.

(a) 11 + (–7)

(b) (–13) + (+18)

(c) (–10) + (+19)

(d) (–250) + (+150)

(e) (–380) + (–270)

(f) (–217) + (–100)

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Worked solution

(a) 11 + (-7) = 4

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

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

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

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

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

Q4Written answer

Find the sum of:

(a) 137 and – 354

(b) – 52 and 52

(c) – 312, 39 and 192

(d) – 50, – 200 and 300

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Worked solution

(a) 137 and -354

(137) + (-354) = (137) + (-137) + (-217)

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

= (-217)

= -217

(b) -52 and 52

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

(c) -312, 39 and 192

(-312) + (+39) + (+192) = (-231) + (-81) + (+39) + (+192)

= (-231) + (-81) + (+231)

= (-231) + (+231) + (-81)

= 0 + (-81) [(-a) + (+a) = 0]

= -81

(d) -50, -200 and 300

(-50) + (-200) + (+300) = (-50) + (-200) + (+200) + (+100)

= (-50) + 0 + (+100) [(-a) + (+a) = 0]

= (-50) + (+100)

= (-50) + (+50) + (+50)

= 0 + (+50) [(-a) + (+a) = 0]

= 50

Q5Written answer

Find the sum.

(a) (–7) + (–9) + 4 + 16

(b) (37) + (–2) + (–65) + (–8)

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Worked solution

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

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

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

= 0 + 0 + 4 [(-a) + (+a) = 0]

= 4

(b) (37) + (-2) + (-65) + (-8)

= (+37) + (-75)

= (+37) + (-37) + (-38)

= 0 + (-38) [(-a) + (+a) = 0]

= -38