Question

is 0.87 rational or irrational why?

Answer 1

Step-by-step explanation:

0.87 is rational numbet because

1.)0.87 is having terminating decimal expansion..

2.)It can also be written as 87/100 which is p/q form where p and q are integers and q is not equal to zero.

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Answer 2

SOLUTION

TO CHECK

Is 0.87 rational or irrational

EVALUATION

We know that Rational number is defined as a number of the form $\displaystyle \sf{ \frac{p}{q} \: }$ Where p & q are integers with q ≠ 0

Here the given number is 0.87

Which can be rewritten as

$\sf \: 0.87 = \dfrac{87}{100}$

Which is of the form $\displaystyle \sf{ \frac{p}{q} \: }$

Where p = 87 , q = 100 with q ≠ 0

Thus the given number can written in the form $\displaystyle \sf{ \frac{p}{q} \: }$ Where p & q are integers with q ≠ 0

Hence 0.87 is a rational number

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