Deena says that 9.565565556... is a rational number because it has a repeating pattern.Do you agree? Explain.
2 answers:
Answer :
No, Deena is not correct.
Step-by-step explanation:
A real number is called rational number if it can be expressed as
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.
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