If the radius of a piece of round stock is 45/64 inch, which decimal is most nearly equal to the diameter?

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Multiple Choice

If the radius of a piece of round stock is 45/64 inch, which decimal is most nearly equal to the diameter?

Explanation:
Doubling the radius gives the diameter: 2 × (45/64) = 90/64 = 45/32. Converting to decimal, 45/32 = 1 + 13/32 = 1.40625. When you express this to four decimals, you round: 1.40625 rounds to 1.4063. So the decimal most nearly equal to the diameter is 1.4063. The two close four-decimal options differ by a tiny amount depending on rounding vs. truncation, but standard rounding yields 1.4063.

Doubling the radius gives the diameter: 2 × (45/64) = 90/64 = 45/32. Converting to decimal, 45/32 = 1 + 13/32 = 1.40625. When you express this to four decimals, you round: 1.40625 rounds to 1.4063. So the decimal most nearly equal to the diameter is 1.4063. The two close four-decimal options differ by a tiny amount depending on rounding vs. truncation, but standard rounding yields 1.4063.

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