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The decimal expansion of 23/ $(2^{3} \times 5^{2})$ terminates after how many decimal places? (answer as a number)

Competition practiceNumber & Arithmetic

A2
B3
C4
D5

Step-by-Step Solution

2^{3} \times 5^{2} = 200

, and 23/200 = 0.115, which terminates after max(3, 2) = 3 decimal places.

Answer: B) 3

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