We will learn how to do division using reverse multiplication.
1. Let us divide 6 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.
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.
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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