Multiplication and Division are Related
Does multiplication and division are related?
Yes, multiplication and division both are related to each other.
A few examples are given are given below to show how they are related to each other.
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(i) The picture shows 6 cats arranged in groups of 2. It shows a multiplication fact: 3 × 2 = 6
It shows a division fact: 6 ÷ 2 = 3 From the multiplication fact 2 × 3 = 6, we get the division fact 6 ÷ 3 = 2 |
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(ii) The picture shows 10 bears arranged in groups of 2. It shows a multiplication fact: 5 × 2 = 10
It shows a division fact: 10 ÷ 2 = 5 From the multiplication fact 2 × 5 = 10, we get the division fact 10 ÷ 5 = 2 |
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(iii) Relationship between Multiplication and Division
3 × 4 = 12 or 4 × 3 = 12 gives two division facts;
12 ÷ 3 = 4 and 12 ÷ 4 = 3
From the above illustrations, we can see that multiplication and division are inverse operations.
For every multiplication fact with two different factors, there can be two division facts and vice-versa.
However, a multiplication fact of same numbers gives only one division fact.
For example, 4 × 4 = 16 gives 16 ÷ 4 = 4.
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Multiplication Fact 2 × 3 = 6 3 × 2 = 6
5 × 6 = 30 6 × 5 = 30 8 × 7 = 56 7 × 8 = 56 9 × 4 = 36 4 × 9 = 36 7 × 7 = 49 |
Division Fact 6 ÷ 3 = 2
6 ÷ 2 = 3
30 ÷ 6 = 5 30 ÷ 5 = 6 56 ÷ 7 = 8 56 ÷ 8 = 7 36 ÷ 4 = 9 36 ÷ 9 = 4 49 ÷ 7 = 7 |
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Division  |
So, from the multiplication fact and division fact we came to the conclusion that they are related to each other.
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