# multiplication and division of integers class 7 | Practice set 8 class 7

In this article **multiplication and division of integers class 7** we give the information about **Class 7 Maths Chapter 2 Practice Set 9** and **Practice set 8 class 7**.

#### multiplication and division of integers class 7:

**Practice Set 8**

**Rules for Multiplication for two numbers:**

- (Positive number)
**×**(Positive number) = (Positive number) - (Positive number)
**×**(Negative number) = (Negative number) - (Negative number)
**×**(Positive number) = (Negative number) - (Negative number)
**×**(Negative number) = (Positive number)

**Question: Multiply**

**(i)** (-5) × (-7) = ?

Rule: (Negative number) **× **(Negative number) = (Positive number)

Therefore, (-5) × (-7) = 35.

**(ii)** (-9) × (6) = ?

Rule : (Negative number) **× **(Positive number) = (Negative number)

Therefore, (-9) × (6) = -54.

**(iii)** (9) × (-4) = ?

Rule: (Positive number) **× **(Negative number) = (Negative number)

Therefore, (9) × (-4) = -36

**(iv)** (8) × ( -7) = ?

Rule: (Positive number) **× **(Negative number) = (Negative number)

Therefore, (8) × (-7) = -56

**(V)** (-124) × (-1) = ?

Rule: (Negative number) **× **(Negative number) = (Positive number)

Therefore, (-124) × ( – 1) = 124

**(Vi)** (-12) × ( -7 ) = ?

Rule: (Negative number) **× **(Negative number) = (Positive number)

Therefore, (-12) × ( – 7) = 84

**(Vii)** (-63) × (-7) = ?

Rule: (Negative number) **× **(Negative number) = (Positive number)

Therefore, (-63) × ( – 7) = 441

**(Viii)** (-7) × (15) = ?

Rule : (Negative number) **× **(Positive number) = (Negative number)

Therefore, (-7) × (15) = -105.

#### Division of Integers:

**(i)** To divide any positive integer by a negative integer

Ex. 9 / -2 = -9 / 2

**(ii)** To divide any negative integer by a negative integer.

Ex. -20 / -5 = 4.

**(iii)** When one integer is divided by another non-zero integer, it is customary to write the denominator of the quotient as a positive integer.

Ex. 11 / -3 = -11 / 3

**Rules for Division for two numbers:**

- We cannot divide any number by zero.
- The quotient of two positive integers is a positive number.
- The quotient of two negative integers is a positive number.
- The quotient of a positive integers and a negative is always a negative number.

#### Practice Set 9:

**1.Solve :-**

**(i)** (- 96) ÷ 16 = ?

Ans:-

Rule: The quotient of a positive integers and a negative is always a negative number.

Therefore, (- 96) ÷ 16 = -6

**(ii)** 98 ÷ ( -28) = ?

Ans:-

Rule: The quotient of a positive integers and a negative is always a negative number.

Therefore, (- 98) ÷ 28 = -49 / 14 = – 7 / 2

**(iii)** (- 51) ÷ ( 68) = ?

Ans:-

Rule: The quotient of a positive integers and a negative is always a negative number.

Therefore, (- 51) ÷ 68 = -51 / 68

**(iv)** 38 ÷ ( -57) = ?

Ans:-

Rule: The quotient of a positive integers and a negative is always a negative number.

Therefore, (- 38) ÷ 57 = -2 / 3

**(v)** (- 85) ÷ ( 20) = ?

Ans:-

Rule: The quotient of a positive integers and a negative is always a negative number.

Therefore, (- 85) ÷ 20 = -17 / 4

**(vi)** (-150) ÷ ( -25) = ?

Ans:-

Rule: The quotient of two negative integers is a positive number.

Therefore, (- 150) ÷ (-25) = 6

**(vii)** 100 ÷ 60 = ?

Ans.:-

Rule : The quotient of two positive integers is a positive number.

Therefore, 100 ÷ 60 = 10 / 6 = 5 / 3

**(viii)** 9 ÷ ( -54) = ?

Ans.:-

Rule : The quotient of a positive integers and a negative is always a negative number.

Therefore, 9 ÷ (-54) = -1 / 6

**(ix)** 78 ÷ 65 = ?

Ans.:-

Rule : The quotient of two positive integers is a positive number.

Therefore, 78 ÷ 65 = 78 / 65

**(x) **(-5) ÷ ( -315) = ?

Ans.:-

Rule : The quotient of two negative integers is a positive number.

Therefore, (- 5) ÷ (- 315)= 1 / 63

**Q2.** Write three divisions of integers such that the fractional from of each will be 24 / 5.

Ans.:- i) 48 / 10

ii) 72 / 15

iii) 96 / 20

**Q3. **Write three divisions of integers such that the fractional from of each will be -5 / 7.

Ans:- i) -10 / 14

ii) -15 / 21

iii) – 20 / 28

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