# CLASS-7IDENTITY PROPERTY OF DIVISION OF RATIONAL NUMBER

IDENTITY PROPERTY OF DIVISION OF RATIONAL NUMBER -

The identity property of division for rational numbers states that any rational number divided by 1 is the number itself. In other words, for any rational number a,

a

------- = a      or     a ÷ 1 = a

1

This property emphasizes that dividing a number by 1 does not change its value. This is analogous to the identity property of multiplication, which states that multiplying any number by 1 yields the number itself.

This property highlights that dividing a rational number by 1 does not change its value.

Here are a few examples to illustrate this property:-

5

Example.1)   ------ = 5    or   5 ÷ 1 = 5

1

11

Example.2)  ------- = 11    or   11 ÷ 1 = 11

1

27

Example.3)  ------- = 27    or   27 ÷ 1 = 27

1

- 121

Example.4)  ------- = - 121    or   - 121 ÷ 1 = - 121

1

In all these cases, dividing by 1 leaves the rational number unchanged, which is the essence of the identity property of division for rational numbers.