GSEB Solutions for Class 7 Mathematics – Integers

GSEB Solutions for Class 7 Mathematics – Integers (English Medium)

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Exercise 

Solution 1:

1. The absolute value of 27 = |27| = 27
2. The absolute value of (-15) = |-15| = 15
3. The absolute value of 0 = |0| = 0
4. The absolute value of (-35) = |-35| = 35
5. The absolute value of 24 = |24| = 24

Solution 2:

(1) (-4) + (-3)
= (-4) – 3
= (-7)
Hence, (1) → (3)
(2) (-5) + 6
= 1
Hence, (2) → (6)
(3) (-7) – 5
= -12
Hence, (3) → (2)
(4) (-5) + (-4)
= (-5) – 4
= -9
Hence, (4) → (7)
(5) (-4) × 4
= -16
Hence, (5) → (5)
(6) (-3) × (-5)
= 15
Hence, (6) → (4)
(7) 5 × 0
= 0
Hence, (7) → (1)

Solution 3:

Practice – 1

Solution 1:

1. The absolute value of 17 = |17| = 17
2. The absolute value of (-18) = |-18| = 18
3. The absolute value of 0 = |0| = 0
4. The absolute value of (-25) = |-25| = 25
5. The absolute value of 16 = |16| = 16

Solution 2:

1. (-5) + 6 = 1
6 + 6 = 12
(-4) + 6 = 2
(-12) + 6 = (-6)
2. 8 + (-5) = 8 – 5 = 3
(-2) + (-5) = (-2) – 5 = (-7)
(-4) + (-5) = (-4) – 5 = (-9)
10 + (-5) = 10 – 5 = 5
3. (-5) + (-5) = (-5) – 5 = (-10)
6 + (-5) = 6 – 5 = 1
(-4) + (-5) = (-4) – 5 = (-9)
(-12) + (-5) = (-12) – 5 = (-17)
4. 7 – (-5) = 7 + 5 = 12
(-8) – (-5) = (-8) + 5 = (-3)
(-4) – (-5) = (-4) + 5 = 1
6 – (-5) = 6 + 5 = 11

Solution 3:

1. 17 + (-12)
= 17 – 12
= 5
2. (-18) + 15
= 15 + (-18)
= 15 – 18
= (-3)
3. 12 – (-18)
= 12 + 18
= 30
4. (-25) + (-15)
= (-25) – 15
= (-40)
5. (-9) – (-8)
= (-9) + 8
= (-1)
6. 14 – 20
= (-6)

Practice – 2

Solution 1:

Positive integer × Positive integer = Positive integer
Negative integer × Negative integer = Positive integer
Negative integer × Positive integer = Negative integer
Positive integer × Negative integer = Negative integer
Positive integer × 0 = 0
Negative integer × 0 = 0

1. (-12) × 5 = (-60)
2. (-15) × (-10) = 150
3. 14 × (-7) = (-98)
4. 0 × (-17) = 0
5. 20 × 0 = 0
6. (-5) × (-8) = 40
7. (-24) × 5 = (-120)
8. 20 × (-15) = (-300)
9. 100 × 0 = 0
10. (-15) × (-1) = 15

Solution 2:

Positive integer × Positive integer = Positive integer
Negative integer × Negative integer = Positive integer
Negative integer × Positive integer = Negative integer
Positive integer × Negative integer = Negative integer
Positive integer × 0 = 0
Negative integer × 0 = 0

1. (-12) × 5 = (-60)
2. (-15) × (-10) = 150
3. 14 × (-7) = (-98)
4. 0 × (-17) = 0
5. 20 × 0 = 0
6. (-5) × (-8) = 40
7. (-24) × 5 = (-120)
8. 20 × (-15) = (-300)
9. 100 × 0 = 0
10. (-15) × (-1) = 15