We know that multiplication is repeated addition and division is repeated subtraction. This means that multiplication and division are an inverse operation.
Let’s understand this with the following example.
We can say that for every multiplication factor of two different numbers we have two division factors. 2 × 2 gives only a division factor of 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 the quotient and divisor to get the dividend.
Questions and answers about the relationship between multiplication and division:
I. Write multiplication factors for each division factor.
(i) 56 ÷ 8 = ……… .. means ……… .. × ……… .. = ……….
(ii) 33 ÷ 11 = ……… .. means ……… .. × ……… .. = ……….
(iii) 42 ÷ 6 = ……… .. means ……… .. × ……… .. = ……….
(iv) 28 ÷ 7 = ……… .. means ……… .. × ……… .. = ……….
Reply:
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 factors for each multiplication factor.
(i) 7 × 9 = ……… .. means ……… .. ÷ ……… .. = ………. and ……… .. ÷ ……… .. = ……….
(ii) 5 × 4 = ……… .. means ……… .. ÷ ……… .. = ………. and ……… .. ÷ ……… .. = ……….
Reply:
II. (i) 63, 63 ÷ 7 = 9, 63 ÷ 9 = 7
(ii) 20, 20 4 = 59, 20 ÷ 5 = 4
III. Use the following numbers to write multiplication and division facts.
(i) 5, 4, 20 ………. ………. ……….
(ii) 6, 9, 54 ………. ………. ……….
(iii) 7, 4, 28 ………. ………. ……….
(iv) 20, 2, 10 ………. ………. ……….
Reply:
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 class
From the terms used in the division to the HOME
Did you not find what you were looking for? Or would you like to know more aboutMath only math.
Use that google search to find what you need.