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Problem 3 - Entrance Test

The decimal expansion of 17/80 terminates after how many decimal places?

Correct: B

17/80 = 17/(2⁴×5¹). For a rational number to terminate, its denominator in lowest terms must be of the form 2ᵐ×5ⁿ; max(m,n)=4, so it terminates after 4 places.