# Division as the reverse of multiplication

Let a and b be two integers in division versus multiplication. dividing a by b means discovering an integer that when multiplied by b provides a, and we writea ÷ b = c.

Thus, a ÷ b = c or a = b × c

For instance:

Dividing 28 by 7 means discovering an integer that when multiplied by 7 provides 28. It’s clear that such a quantity is 4. So we write 28 ÷ 7 = 4.

Equally, we now have

12 ÷ 4 = 3 as a result of 4 × 3 = 12

35 ÷ 5 = 7 as a result of 5 × 7 = 35

2 ÷ 1 = 2 as a result of 2 × 1 = 2

15 ÷ 15 = 1 as a result of 15 × 1 = 15

42 ÷ 6 = 7 as a result of 6 × 7 = 42

Division by Reverse Multiplication:

 Division Fact 24 ÷ 4 = 6 → Collision occasion = 6 × 4 = 24 or 4 × 6 = 24 Multiplication Fact 6×3=18 → Division Fact = 18 ÷ 3 = 6 or 18 ÷ 6 = 3

Observe:

If a and b are two integers, a ÷ b can also be expressed as a/b.

Thus, it may also be written as a ÷ b = c or a = bc.

(frac{a}{b}) = c or a = b × c.

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Quantity Zero

Properties of Integers

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Quantity Line Illustration of Integers

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Division because the reverse of multiplication

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