Without actually performing the long division, state whether the … - Vidyadip

MCQ

Without actually performing the long division, state whether the following rational number will have a terminating decimal expansion or non $-$ terminating decimal expansion $\frac{7}{210}$ :

A
Terminating decimal expansion
✓
Non $-$ terminating decimal expansion
C
Cannot be determined
D
None

✓

Answer

Correct option: B.

Non $-$ terminating decimal expansion

Simplify it by dividing nominator and denominator both by $7$ we get $\frac{1}{30}$
Factorize the denominator we get $30 = 2 \times 3 \times 5$
Denominator has $3$ also in denominator
So denominator is not in form of $2^n \times 5^n$

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