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