Chapter 3 – Integers
Practice set 4
1. Classify the following numbers as positive numbers and negative numbers.
– 5, +4, – 2, 7, +26, – 49, – 37, 19, – 25, +8, 5, – 4, – 12, 27
Ans:
| Positive numbers | Negative numbers |
|---|---|
+4, 7, +26, 19, +8, 5, 27 | – 5, – 2, – 49, – 37, – 25, – 4, – 12 |
2. Given below are the temperatures in some cities. Write them using the proper signs.
Ans:
The temperature of Shimla is − 7 °C.
The temperature of Leh is − 12 °C.
The temperature of Delhi is + 22 °C.
The temperature of Nagpur is + 31 °C.
3. Write the numbers in the following examples using the proper signs.
(1) A submarine is at a depth of 512 metres below sea level.
Ans: A submarine is at a depth of – 512 meters from sea level.
(2) The height of Mt Everest, the highest peak in the Himalayas, is 8848 metres.
Ans: The height of Mt. Everest, the highest peak in the Himalayas, is + 8848 meters.
(3) A kite is flying at a distance of 120 metres from the ground.
Ans: A kite is flying at a distance of +120 meters from the ground.
(4) The tunnel is at a depth of 2 metres under the ground.
Ans: The tunnel is at a depth of – 2 meters from the ground.
Practice set 5
1. Add.
(1) 8 + 6
Solution:
8 + 6
= 14
Ans: 14
(2) 9 + (– 3)
Solution:
9 + (– 3)
= 9 – 3
= 6
Ans: 6
(3) 5 + (– 6)
Solution:
5 + (– 6)
= 5 – 6
= – 1
Ans: – 1
(4) – 7 + 2
Solution:
– 7 + 2
= – 5
Ans: – 5
(5) – 8 + 0
Solution:
– 8 + 0
= – 8
Ans: – 8
(6) – 5 + (– 2)
Solution:
– 5 + (– 2)
= – 5 – 2
= – 7
Ans: – 7
2. Complete the table given below.
(1) – 2 + 8
Solution:
– 2 + 8
= 6
Ans: 6
(2) – 2 + 4
Solution:
– 2 + 4
= 2
Ans: 2
(3) – 2 + (– 3)
Solution:
– 2 + (– 3)
= – 2 – 3
= – 5
Ans: – 5
(4) – 2 + (– 5)
Solution:
– 2 + (– 5)
= – 2 – 5
= – 7
Ans: – 7
(5) 6 + 8
Solution:
6 + 8
= 14
Ans: 14
(6) 6 + 4
Solution:
6 + 4
= 10
Ans: 10
(7) 6 + (– 3)
Solution:
6 + (– 3)
= 6 – 3
= 3
Ans: 3
(8) 6 + (– 5)
Solution:
6 + (– 5)
= 6 – 5
= 1
Ans: 1
(9) 0 + 8
Solution:
0 + 8
= 8
Ans: 8
(10) 0 + 4
Solution:
0 + 4
= 4
Ans: 4
(11) 0 + (– 3)
Solution:
0 + (– 3)
= 0 – 3
= – 3
Ans: – 3
(12) 0 + (– 5)
Solution:
0 + (– 5)
= 0 – 5
= – 5
Ans: – 5
(13) – 4 + 8
Solution:
– 4 + 8
= 4
Ans: 4
(14) – 4 + 4
Solution:
– 4 + 4
= 0
Ans: 0
(15) – 4 + (– 3)
Solution:
– 4 + (– 3)
= – 4 – 3
= – 7
Ans: – 7
(16) – 4 + (– 5)
Solution:
– 4 + (– 5)
= – 4 – 5
= – 9
Ans: – 9
Practice set 6
Write the opposite number of each of the numbers given below.
| Number | Opposite number |
|---|---|
47 | |
+ 52 | |
– 33 | |
– 84 | |
– 21 | |
+ 16 | |
– 26 | |
80 |
Ans:
| Number | Opposite number |
|---|---|
47 | – 47 |
+ 52 | – 52 |
– 33 | 33 |
– 84 | 84 |
– 21 | 21 |
+ 16 | – 16 |
– 26 | 26 |
80 | – 80 |
Practice set 7
Write the proper signs > , < or = in the boxes below.
(1) – 4 □ 5
Ans: – 4 < 5
(2) 8 □ – 10
Ans: 8 > – 10
(3) + 9 □ + 9
Ans: + 9 = + 9
(4) – 6 □ 0
Ans: – 6 < 0
(5) 7 □ 4
Ans: 7 > 4
(6) 3 □ 0
Ans: 3 > 0
(7) – 7 □ 7
Ans: – 7 < 7
(8) – 12 □ 5
Ans: – 12 < 5
(9) – 2 □ – 8
Ans: – 2 > – 8
(10) – 1 □ – 2
Ans: – 1 > – 2
(11) 6 □ – 3
Ans: 6 > – 3
(12) – 14 □ – 14
Ans: – 14 = – 14
Practice set 8
Subtract the numbers in the top row from the numbers in the first column and write the proper number in each empty box.
(1) 3 – (– 6)
Solution:
3 – (– 6)
= 3 + 6
= 9
Ans: 9
(2) 3 – 9
Solution:
3 – 9
= – 6
Ans: – 6
(3) 3 – (– 4)
Solution:
3 – (– 4)
= 3 + 4
= 7
Ans: 7
(4) 3 – (– 5)
Solution:
3 – (– 5)
= 3 + 5
= 8
Ans: 8
(5) 3 – 0
Solution:
3 – 0
= 3
Ans: 3
(6) 3 – (+ 7)
Solution:
3 – (+ 7)
= 3 – 7
= – 4
Ans: – 4
(7) 3 – (– 8)
Solution:
3 – (– 8)
= 3 + 8
= 11
Ans: 11
(8) 3 – (– 3)
Solution:
3 – (– 3)
= 3 + 3
= 6
Ans: 6
(9) 8 – (– 6)
Solution:
8 – (– 6)
= 8 + 6
= 14
Ans: 14
(10) 8 – 9
Solution:
8 – 9
= – 1
Ans: – 1
(11) 8 – (– 4)
Solution:
8 – (– 4)
= 8 + 4
= 12
Ans: 12
(12) 8 – (– 5)
Solution:
8 – (– 5)
= 8 + 5
= 13
Ans: 13
(13) 8 – 0
Solution:
8 – 0
= 8
Ans: 8
(14) 8 – (+ 7)
Solution:
8 – (+ 7)
= 8 – 7
= 1
Ans: 1
(15) 8 – (– 8)
Solution:
8 – (– 8)
= 8 + 8
= 16
Ans: 16
(16) 8 – (– 3)
Solution:
8 – (– 3)
= 8 + 3
= 11
Ans: 11
(17) – 3 – (– 6)
Solution:
– 3 – (– 6)
= – 3 + 6
= 3
Ans: 3
(18) – 3 – 9
Solution:
– 3 – 9
= – 12
Ans: – 12
(19) – 3 – (– 4)
Solution:
– 3 – (– 4)
= – 3 + 4
= 1
Ans: 1
(20) – 3 – (– 5)
Solution:
– 3 – (– 5)
= – 3 + 5
= 2
Ans: 2
(21) – 3 – 0
Solution:
– 3 – 0
= – 3
Ans: – 3
(22) – 3 – (+ 7)
Solution:
– 3 – (+ 7)
= – 3 – 7
= – 10
Ans: – 10
(23) – 3 – (– 8)
Solution:
– 3 – (– 8)
= – 3 + 8
= 5
Ans: 5
(24) – 3 – (– 3)
Solution:
– 3 – (– 3)
= – 3 + 3
= 0
Ans: 0
(25) – 2 – (– 6)
Solution:
– 2 – (– 6)
= – 2 + 6
= 4
Ans: 4
(26) – 2 – 9
Solution:
– 2 – 9
= – 11
Ans: – 11
(27) – 2 – (– 4)
Solution:
– 2 – (– 4)
= – 2 + 4
= 2
Ans: 2
(28) – 2 – (– 5)
Solution:
– 2 – (– 5)
= – 2 + 5
= 3
Ans: 3
(29) – 2 – 0
Solution:
– 2 – 0
= – 2
Ans: – 2
(30) – 2 – (+ 7)
Solution:
– 2 – (+ 7)
= – 2 – 7
= – 9
Ans: – 9
(31) – 2 – (– 8)
Solution:
– 2 – (– 8)
= – 2 + 8
= 6
Ans: 6
(32) – 2 – (– 3)
Solution:
– 2 – (– 3)
= – 2 + 3
= 1
Ans: 1