The DAV Class 6 Maths Book Solutions Pdf and **DAV Class 6 Maths Chapter 3 Worksheet 5 **Solutions of Integers offer comprehensive answers to textbook questions.

## DAV Class 6 Maths Ch 3 WS 5 Solutions

Question 1.

Write the negative of the following integers:

(a) – 3

Solution:

Negative of – 3 = – (- 3) = 3

(b) 5

Solution:

Negative of 5 = – 5

(c) 100

Solution:

Negative of 100 = – 100

(d) – 91

Solution:

Negative of – 91 = – (- 91) = 91

(e) 108

Solution:

Negative of 108 = – 108

(f) – 2004

Solution:

Negative of – 2004 = – (- 2004) = 2004

Question 2.

Fill in the following blanks: (The first is done for you)

(a) 9 – 4 = 9 + ______________

Solution:

– 4

(b) 12 – 7 = 12 + ______________

Solution:

– 7

(d) – 4 – 6 = – 4 + ______________

Solution:

– 6

(e) 70 – (- 19) = 70 + ______________

Solution:

19

(f) 37 – 26 = 37 + ______________

Solution:

– 26

(g) – 21 – 64 = – 21 + ______________

Solution:

– 64

(h) 0 – 8 = 0 + ______________

Solution:

– 8

(i) 11 – (- 6) = 11 + ______________

Solution:

6

(j) – 100 – (- 100) = – 100 + ______________

Solution:

100

Question 3.

Subtract the first integer from the second one.

(a) 9, 4

Solution:

4 – 9 = – 5

(b) – 9, 4

Solution:

4 – (- 9) = 4 + 9 = 13

(c) 10, – 7

Solution:

– 7 – 10 = – (17 + 10) = – 17

(d) – 11, – 6

Solution:

– 6 – (- 11) = – 6 + 11 = 5

(e) 16, 0

Solution:

0 – 16 = – 16

(f) 2001, 201

Solution:

201 – 2001 = – 1800

(g) 458, – 263

Solution:

– 263 – 458 = – (263 + 458)

(h) 0, – 565

Solution:

– 565 – 0 = – 565 = – 721

(i) – 823, – 232

Solution:

(j) 41623, 26413

Solution:

26413 – 41623 = – 232 + 823 = 591

= – 15210

Question 4.

Subtract – 6 from 3 and 3 from – 6. Are the results same?

Solution:

Subtract – 6 from

3 = 3 – (- 6)

= 3 + 6

= 9

Now we have to subtract 3 from – 6

⇒ – 6 – 3 = – 9

9 ≠ – 9

Hence, the results are not same.

Question 5.

Sum of two integers is 48. If one of them is – 25, find the other.

Solution:

Sum = 48

One number = – 25

∴ Other number = 48 – (- 25)

= 48 + 25 = 73

Hence, the other number = 73.

Question 6.

Subtract the sum of 38 and – 49 from – 100.

Solution:

Sum of 38 and – 49 = 38 + (- 49) = – 11

Subtract – 11 from – 100 = – 100 – (- 11)

= – 100 + 11

= – 89

Hence, the required answer = – 89.

Question 7.

Compare:

(a) (- 25) – (- 15) ______________ (- 25) + (- 15)

Solution:

(- 25) – (- 15) > – 25 + (- 15)

(b) 18 + (- 8) ______________ 18 – (- 8)

Solution:

18 + (- 8) < 18 – (- 8)

Question 8.

Find the value of

(a) (- 3) – (- 19)

Solution:

(- 3) – (- 19) = – 3 + 19 = 16

(b) – 12 – 8 – (- 35)

Solution:

– 12 – 8 – (- 35) = – (12 + 8) + 35

= – 20 + 35

= 15

(c) 56 – (- 13) + 15

Solution:

56 – (- 13) + 15 = 56 + 13 + 15

= 84

(d) (- 41) + (- 36) – 23

Solution:

(- 41) + (- 36) – 23 = – (41 + 36) – 23

= – 77 – 23

= – (77 + 23)

= – 100

(e) (- 16) – (- 6) + (- 9) – 4

Solution:

(- 16) – (- 6) + (- 9) – 4

= – 16 + 6 – 9 – 4

= – 10 – 13

= – 23

(f) 71 – 83 – (- 42) + 15

Solution:

71 – 83 – (- 42) + 15 = 71 – 83 + 42 + 15

= (71 + 42 + 15) – 83

= 128 – 83

= 45