Relationship between Multiplication and Division
We know that multiplication is repeated
addition and division is repeated subtraction. This means that multiplication and
division are inverse operation.
Let us understand this with the following
example.
We can say that for each multiplication
fact, of two distinct numbers we have two division facts. 2 × 2 gives only one
division fact 4 ÷2 = 2.
For example:
Write two division facts for each of the
following multiplication facts.
Since, division and multiplication are
related, we can check our answer by multiplying quotient and divisor to get the
dividend.
Questions and Answers on Relationship between Multiplication and Division:
I. Write multiplication fact for each
division fact.
(i) 56 ÷ 8 = ……….. means ……….. × ……….. =
……….
(ii) 33 ÷ 11 = ……….. means ……….. × ……….. =
……….
(iii) 42 ÷ 6 = ……….. means ……….. × ……….. =
……….
(iv) 28 ÷ 7 = ……….. means ……….. × ……….. =
……….
Answer:
I. (i) 7, 8 × 7 = 56
(ii) 3, 11 × 3 = 33
(iii) 7, 6 × 7 = 42
(iv) 4, 7 × 4 = 28
II. Write two division facts for each
multiplication fact.
(i) 7 × 9 =
……….. means ……….. ÷ ……….. = ………. and ……….. ÷ ……….. = ……….
(ii) 5 × 4 = ……….. means ……….. ÷ ……….. = ………. and ……….. ÷
……….. = ……….
Answer:
II. (i) 63, 63 ÷ 7 = 9, 63 ÷ 9 = 7
(ii) 20, 20 ÷ 4 = 59, 20 ÷ 5 = 4
III. Using following numbers, write
multiplication facts and division facts.
(i) 5, 4, 20 ………. ………. ……….
(ii) 6, 9, 54 ………. ………. ……….
(iii) 7, 4, 28 ………. ………. ……….
(iv) 20, 2, 10 ………. ………. ……….
Answer:
III. (i) 5 × 4 = 20, 20 ÷ 4 = 5, 20 ÷ 5 = 4
(ii) 6 × 9 = 54, 54 ÷ 6 = 9, 54 ÷ 9 = 6
(iii) 7 × 4 = 28, 28 ÷ 7 = 4, 28 ÷ 4 = 7
(iv) 2 × 10 = 20, 20 ÷ 2 = 10, 20 ÷ 10 = 2
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