# Division as The Inverse of Multiplication

In division as the inverse of multiplication, let a and b be two whole numbers. Dividing a by b means finding a whole number which when multiplied by b gives a and we writea ÷ b = c.

Thus, a ÷ b = c or a = b × c

For example:

Divide 28 by 7 means finding a whole number which when multiplied by 7 gives 28. Clearly, such a number is 4. So, we write 28 ÷ 7 = 4.

Similarly, we have

12 ÷ 4 = 3, since 4 × 3 = 12

35 ÷ 5 = 7, since 5 × 7 = 35

2 ÷ 1 = 2, since 2 × 1 = 2

15 ÷ 15 = 1, since 15 × 1 = 15

42 ÷ 6 = 7, since 6 × 7 = 42

Note:

If a and b are two whole numbers, then a ÷ b is also expressed as a/b.

Thus, a ÷ b = c or a = bc, which can also be written as

a/b = c or a = b × c.

The Number Zero

Properties of Whole Numbers

Successor and Predecessor

Representation of Whole Numbers on Number Line

Properties of Subtraction

Properties of Multiplication

Properties of Division

Division as The Inverse of Multiplication