After how many places of decimal will the number 17/2^3 × 5^2 terminate?

3. Denominator 2^3 × 5^2; max(3,2) = 3, so it terminates after 3 decimal places. (17/200 = 0.085.)

After how many places of decimal will the number $\frac{17}{2 ^{3} \times 5 ^{2}}$ terminate?

Class 10Decimal ExpansionsNumber Systems

Denominator

2^{3} \times 5^{2}

; max(3,2) = 3, so it terminates after 3 decimal places

. (\frac{17}{200} = 0.085.)

Answer: B) 3

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