Question

Is 0.3 Repeating rational

Answer 1

Answer:

Yes

Step-by-step explanation:

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

Answer 2

Answer:

Yes, 0.3 repeating is a rational number.

Step-by-step 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),

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

$9x=3$

$x=\frac{3}{9}$

$x=\frac{1}{3}$

So, $0.3333...=\frac{1}{3}$

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