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

3rd Grade Math Lessons

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