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

GSEB SolutionsMathsScience

**Exercise **

**Solution 1:**

- The absolute value of 27 = |27| = 27
- The absolute value of (-15) = |-15| = 15
- The absolute value of 0 = |0| = 0
- The absolute value of (-35) = |-35| = 35
- 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:**

- The absolute value of 17 = |17| = 17
- The absolute value of (-18) = |-18| = 18
- The absolute value of 0 = |0| = 0
- The absolute value of (-25) = |-25| = 25
- 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

- (-12) × 5 = (-60)
- (-15) × (-10) = 150
- 14 × (-7) = (-98)
- 0 × (-17) = 0
- 20 × 0 = 0
- (-5) × (-8) = 40
- (-24) × 5 = (-120)
- 20 × (-15) = (-300)
- 100 × 0 = 0
- (-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

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