Division using Reverse Multiplication

We will learn how to do division using reverse multiplication.

1. Let us divide 6 by 2.

$6 Divided by 2$

Recall the multiplication table of 2.

How many twos are 6?

3 twos are 6.

As 3 × 2 = 6, 6 ÷ 2 = 3.

Recall

1 × 2 = 2

2 × 2 = 4

3 × 2 = 6

4 × 2 = 8

5 × 2 = 10

2. Divide 20 by 5.

$Divide 20 by 5$

Recall the multiplication table of 5.

How many fives are 20?

4 fives are 20.

As 4 × 5 = 20, 20 ÷ 5 = 4.

Recall

1 × 5 = 5

2 × 5 = 10

3 × 5 = 15

4 × 5 = 20

5 × 5 = 25

3. Divide 30 by 5.

$Divide 30 by 5$

Recall the multiplication table of 5.

How many fives are 30?

6 fives are 30.

As 6 × 5 = 30, 30 ÷ 5 = 6.

Recall

1 × 5 = 5

2 × 5 = 10

3 × 5 = 15

4 × 5 = 20

5 × 5 = 25

6 × 5 = 30

7 × 5 = 35

8 × 5 = 40

Questions and Answers on Division using Reverse Multiplication:

1. Fill in the blanks.

(i) If 6 × 2 = 12 then 12 ÷ 2 = _____

(ii) If 1 × 10 = 10 then 10 ÷ 10 = _____

(iii) If 8 × 2 = 16 then 16 ÷ 2 = _____

Answer:

1. (i) 6

(ii) 1

(iii) 8

2. Recall multiplication tables to divide the following.

(i) 8 ÷ 2 = _____

(ii) 6 ÷ 1 = _____

(iii) 18 ÷ 2 = _____

(iv) 15 ÷ 5 = _____

(v) 20 ÷ 10 = _____

(vi) 20 ÷ 5 = _____

(vii) 10 ÷ 5 = _____

(viii) 18 ÷ 2 = _____

Answer:

2. (i) 4

(ii) 6

(iii) 9

(iv) 3

(v) 2

(vi) 4

(vii) 2

(viii) 9

3. Complete the table.

(i)

7 × 2 = 14

14 ÷ 2 = 7

(ii)

6 × 1 = _____

6 ÷ 1 = _____

(iii)

8 × 2 = _____

16 ÷ 2 = _____

(iv)

2 × 5 = _____

10 ÷ 5 = _____

(v)

3 × 8 = _____

24 ÷ 8 = _____

(vi)

4 × 5 = _____

20 ÷ 5 = _____

(vii)

2 × 10 = _____

20 ÷ 10 = _____

(viii)

9 × 2 = _____

18 ÷ 2 = _____

Answer:

3. (ii) 6; 6

(iii) 16; 8

(iv) 10; 2

(v) 24; 3

(vi) 20; 4

(vii) 20; 2

(viii) 18; 9

4. Fill in the blanks

(i) If 5 × 5 = 25, then 25 ÷ 5 = _____

(ii) If 10 × 2 = 20, then 20 ÷ 2 = _____

Answer:

4. (i) 5

(ii) 10

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