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:

  1. (Positive number) ×  (Positive number)       =  (Positive number)
  2. (Positive number) ×  (Negative  number)    =  (Negative number)
  3. (Negative number) ×  (Positive number)       =  (Negative number)
  4. (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:

  1. We cannot divide any number by zero.
  2. The quotient of two positive integers is a positive number.
  3. The quotient of two negative integers is a positive number.
  4. 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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