Question

1. Write whether the rational number

7
upon75
will have a terminating decimal expansion or a

nor-terminating repeating decimal expansion.

Answer 1

yes,this is a rational number.

Answer 2

Non-Terminating...
See There Is A rule That Is Denominator Consists Of Factors With Powers Of 2 or 5 or Both Then It Terminates. For instance 1 by 2 terminates to 0.5 and 1 by 5 terminates to 0.2.
Coming To the Given Question...
The Denominator Is 75 which factorizes To
3 * 5²
See, There is a power of 3 and the decimal must be non- Terminating.
(The Value is 0.093333...)
Hope It Helped.