Question

Is 0.3 Repeating rational

Answer 1

Yes

Explanation:

1/3 is a fraction (ergo, a rational number). When written as decimal, it would be 0.3333333.... repeating.

Answer 2

Yes, 0.3 repeating is a rational number.

Explanation:

To find : Is 0.3 Repeating rational ?

Solution :

Rational number is defined as the number written in p/q form where p and q are integers and q is non-zero.

Let the number written as,

`x=0.3333...` .....(1)

Multiply both side by 10,

`10x=3.3333...` .....(2)

Subtract (1) and (2),

`10x-x=(3.3333...)-(0.3333...)`

`9x=3`

`x=(3)/(9)`

`x=(1)/(3)`

So,
`0.3333...=(1)/(3)`

The number is written in p/q form so it is a rational number.