Multiple Choice
Which of the following is the correct rule for determining the number of significant figures in the result of a multiplication or division calculation?
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1. Intro to General Chemistry
Significant Figures: In Calculations
Multiple Choice
Perform the following calculation to the right number of sig figs:
[(1.7 × 106) ÷ (2.63 × 105)] + 6.96
A
13.46
B
13.0
C
13.4
D
14.2
E
4.471
Verified step by step guidance1
Identify the operations involved in the expression: division followed by addition. The expression is \(\left( \frac{1.7 \times 10^{6}}{2.63 \times 10^{5}} \right) + 6.96\).
Perform the division first: divide \(1.7 \times 10^{6}\) by \(2.63 \times 10^{5}\). When dividing numbers in scientific notation, divide the coefficients and subtract the exponents of 10.
Determine the number of significant figures for each number involved in the division. \(1.7 \times 10^{6}\) has 2 significant figures, and \(2.63 \times 10^{5}\) has 3 significant figures. The result of the division should be rounded to the smaller number of significant figures, which is 2.
After rounding the division result to 2 significant figures, add the number 6.96. When adding, the result should be rounded to the least number of decimal places among the numbers being added. Note the decimal places in the division result and in 6.96.
Round the final sum according to the rule for addition/subtraction significant figures and express the answer with the correct number of significant figures.
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