Question

Is 21.23 a rational number Show evidence

Answer 1

It is a rational number.

Explanation:

Given value,

→ 21.23

Converting into rational number,

→ (21.23/1) × (100/100)

→ (21.23 × 100)/(1 × 100)

→ 2123/100

Hence, it is a rational number.

Answer 2

Yes, 21.23 is a rational number.

`21.23=(2123)/(100)`

Explanation:

Terminating decimal numbers are decimals that have a finite number of decimal places.

A Rational Number is the division of an integer by another integer.

Therefore, 21.23 is a terminating decimal since it has a finite number of decimal places.

Let x be the rational number.

`\implies x=21.23`

Multiply both sides by 100 so that the right side is an integer:

`\implies 100x=2123`

Divide both sides by 100:

`\implies x=(2123)/(100)`

(This fraction cannot be reduced any further).

Therefore, we have proved that 21.23 is a rational number.