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.