Question

Without actually performing the long division,state whether 77/210 will have a terminating decimal expansion or non-terminating repeating decimal expansion (Answers In breif)

Answer 1

)77/210.

simplify it by dividing nominator and denominator both by 7 we get 11/30  

Factorize the denominator we get  

30 = 2 x 3 x 5  

Denominator has 3 also in denominator so denominator is not in form of 2n x 5n  

Hence it is none terminating.

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Answer 2

Step-by-step explanation:

77/210= (7×11)/(30×7)=11/30

=30=2×3×5

The denominator is not in the form of a 2²m×5²n

77/210 is a non terminating decimal expansion