Question

The number 0.318564318564318564..... Is ? a)A rational number b)A irrational number c)A real number

Answer 1

0.318564318564 is repeating so it is a rational no.

Answer 2

The number 0.318564318564318564... is a rational number.

Step-by-step explanation:

Rational Numbers are described as the numbers that can be expressed in p/q form or the ratio of two integers.

Given that,

The number = 0.318564318564318564...

Let x = 0.318564318564318564...

So,

1000000x = 318564 + 0.318564...

⇒ 1000000x = 318564 + x

⇒ 1000000x - x = 318564

⇒ 999999x = 318564

∵ x = 318564/999999

Since it can be written in the p/q form, it is a rational number.

Learn more: Rational numbers

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