Question

write whether the rational number 7/75 will have terminating decimal expansion or a non terminating decimal .​

Answer 1

Answer:

75 = 5^2 × 3

As the denominator is not in the form of 2^n × 5^m, it is a non terminating number.

Or we can say that the fractions whose denominators can be written as a product of 2 and 5 only are the numbers which terminate

Answer 2

Non terminating decimal

Step-by-step explanation:

FOR DENOMINATOR 75

3|75

5|25

5|5

|1

Hence denominator 75=3*5*5

3*5^2

Denominator=3*5^2

So denominator is not in the form of 2^n 5^m

Thus, 7/75 have a non terminating repeating decimal expansion