Question

Write whether the rational number 7/75will have a terminating decimal expansion or a non terminating repeating decimal Expansion

Answer 1

     _
0.93 (0.93333.........)  is the answer.
 it is non terminating and recurring (repeating) .

Answer 2

Answer:

It is non terminating repeating decimal.

Step-by-step explanation:

Given : Rational number   $\frac{7}{75}$      

To find : Write whether the rational number will have a terminating or a non terminating repeating decimal expansion?

Solution :

Terminating decimal is a fraction which decimal form is up to limited place it can be repeated or non repeat.

Non terminating repeating Decimal whose decimal forms is repeated and doesn't end.

Rational number $\frac{7}{75}$      

Denominator is 75 ,

If Denominator satisfy or in the form ${2}^{m}\times{5}^{n}$  then it will be Terminating decimal.

So,  

$\frac{7}{75}=\frac{7}{ {3}^{1}\times{5}^{2}}$

The denominator is not satisfying the form.

Therefore, It is non terminating repeating decimal.