Question

Deena says that 9.565565556... is a rational number because it has a repeating pattern.Do you agree? Explain.

Answer 1

No. Because a irrational number has a repeating pattern.

Answer 2

Answer :

No, Deena is not correct.

Step-by-step explanation:

A real number is called rational number if it can be expressed as $\frac{p}{q}$

Where, p and q are integers,

Such that, q ≠ 0

Also, a number with repeating or recurring decimal is always a rational number,

Given number,

9.565565556......

By examining the number we found that,

The pattern of recurring is not proceed,

Hence, 9.565565556... has not a repeating pattern,

∴ 9.565565556... is not a rational number.

i.e. Deena is not correct.