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The number of significant figures to the answer of subtraction (64.6312 - 64.5899) is :

  • A.4
  • B.6
  • C.3
  • D.2

Answer: C

The answer has 3 significant figures.

\[ 64.6312 - 64.5899 = 0.0413 \]

In addition and subtraction the result keeps as many decimal places as the least precise number; both have four decimal places, so the answer is 0.0413. Leading zeros only fix the decimal point and are not significant, which leaves 4, 1 and 3: three significant figures.

Six is the count in each starting number, and 4 counts the zero after the decimal point. Subtracting two nearly equal numbers loses significant figures, which is the point of the question.

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