Each of the two factors in the multiplication sentence can be written as the product divided by the other factor.
10 45Ă· 4 12 = 2 25, 10 45Ă· 2 25 = 4 12
Practice makes perfect
We are asked to write two related division sentences for the following multiplication sentence.
2 25* 4 12 = 10 45
We will start by recalling that multiplication and division are inverse operations. If we have a multiplication sentence with two factors, we can write two related division sentences.
a* b = c ↓ c ÷ b = a c ÷ a = b
Note that each of the two factors can be written as the product divided by the other factor. In this way, we can get two division sentences from one multiplication sentence. Let's write the two related division sentences for the given multiplication sentence using this rule.
2 25* 4 12 = 10 45 ↓ 10 45 ÷ 4 12 = 2 25 10 45 ÷ 2 25 = 4 12
