The DAV Class 6 Maths Book Solutions Pdf and DAV Class 6 Maths Chapter 3 Worksheet 3 Solutions of Integers offer comprehensive answers to textbook questions.
DAV Class 6 Maths Ch 3 WS 3 Solutions
Use the number line and write the number which is:
(a) 3 more than 4
Solution:
Hence, 7 is 3 more than 4.
(b) 5 less than 1
Solution:
Hence, -4 is the number which is 5 less than 1.
(c) 7 more than – 8
Solution:
Hence, -1 is the number which is 7 more than -8.
(d) 2 less than 2
Solution:
Hence, 0 is the number which is 2 less than 2.
(e) 5 more than 6
Solution:
Hence, 11 is the number which is 5 more than 6.
(f) 7 less than zero.
Solution:
Hence, -7 is the number which is 7 less than 0.
Question 2.
Find the sum on a number line.
(a) 8 + (- 3)
Solution:
Hence, the required number is 5.
(b) – 7 + 2
Solution:
Hence, the required number is – 5.
(c) (- 5) + (- 4)
Solution:
Hence, the required number is – 9.
(d) (- 2) + 1 + (- 2)
Solution:
Hence, the required number is – 3.
(e) 7 + (- 4) + (- 3)
Solution:
(f) (- 2) + (- 3) + (- 4)
Solution:
Hence, the required number is – 9.
Question 3.
Add the following by taking absolute values.
(a) 67, – 49
Solution:
67, – 49
|67| = 67 and|- 49| = 49
Difference = 67 – 49 = 18
Hence, (67) + (- 49) = 18
(b) – 452, 138
Solution:
– 452, 138
|- 452|= 452,|138|= 138
Difference = 452 – 138 = 314
∴ – 452 + 138 = 314
(c) – 95, – 35
Solution:
– 95, – 35
|- 95|= 95,|- 35|= 35
∴ Sum = 95 + 35 = 130
Hence, (- 95) + (- 35) = – 130
(d) 6951, – 6952
Solution:
6951, – 6952
|6951|= 6951,
|- 6952|= 6952
Difference = 6952 – 6951 = 1
Hence, (6951) + (- 6952) = – 1
(e) 1001, – 101
Solution:
1001, – 101
|1001|= 1001,|- 101|= 101
= 1001 – 101 = 900
Hence, (1001) + (- 101) = 900
(f) – 381, – 619
Solution:
– 381, – 619
|- 381|= 381,|- 619|= 619
Sum = 381 + 619 = 1000
Hence, (- 381) + (- 619) = – 1000
(g) – 419, 386, 419
Solution:
– 419, 386, 419
|- 419|= 419,|386|= 386,
|419|= 419
Difference = 419 – 386 = 33
∴ ( – 419) + (386) = – 33
Now we have to add – 33 and 419|- 33|= 33,
|419|= 419
Difference 419 – 33 = 386
∴ (- 33) + (419) = 386
Hence, (- 419) + (386) + (419) = 386
(h) – 19, 158, – 103
Solution:
– 19, 158, – 103
|- 19|= 19,
|158|= 158,
|- 103|- 103
Difference = 158 – 19 = 139
(i) – 9005, 360
Solution:
– 9005, 360
|- 9005|= 9005,|360|= 360
Difference = 9005 – 360 = 8645
Hence, (- 9005) + (360) = – 8645
(j) – 65, – 35, 100
Solution:
– 65, – 35, 100
|- 65|= 65,|- 35|= 35
Sum = 65 + 35 = 100 .-. (- 65) + (- 35) = – 100
Now we have to add – 100 and 100|- 100|= 100,|100|= 100
Difference = 100 – 100 = 0
Hence (- 65) + (- 35) + (100) = 0