Significant Figures in Multiplication and Division

# Significant Figures in Multiplication and Division -...

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Significant Figures in Multiplication and Division The rule governing multiplication and division of significant figures is slightly different than that for addition and subtraction, but just as simple: The final value can only have as many significant figures as the original value with the least significant figures. For example, consider the following situation: a scientist needs to calculate a constant value, K, based on the following equation: K = (D x E) / B where B, D and E are measured values that the scientist observed (weight, volume, temperature, pressure). B=6.00 g D= 22 C E= 22.457 mL 22.457 mL has 5 significant figures and 22 C has 2 significant figures. The number that the
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Unformatted text preview: calculator gives is 82.34233. .. However this has 7 significant figures and none of the measurements were this accurate. In fact, we must reduce the answer to only two significant figures, since that's how many 22 has. The answer, K, must be truncated to 82 ml C/g to reflect the 2 significant figures in the D value. Problem : Silver has a density of 10.5 g/mL at 25 C. What is the mass of 16 mL of silver? However if 16 mL was a measured value, it has only 2 significant figures. Therefore the final answer must be 170 g. Since there is ambiguity as to whether the final zero here is significant or not, the answer is best expressed: 1.7 x 102 g....
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