Multiple Choice
Which of the following is the correct rule for determining the number of significant figures in the result of an addition or subtraction operation?
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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
13.5
D
14.2
E
4.471
Verified step by step guidance1
Identify the numbers involved in the calculation: \(1.7 \times 10^{6}\), \(2.63 \times 10^{5}\), and \(6.96\).
Perform the division first: calculate \(\frac{1.7 \times 10^{6}}{2.63 \times 10^{5}}\). Remember to handle the powers of ten separately from the coefficients.
Determine the number of significant figures for each number: \(1.7 \times 10^{6}\) has 2 significant figures, \(2.63 \times 10^{5}\) has 3 significant figures, and \(6.96\) has 3 significant figures.
Apply the rules for significant figures in division: the result should have the same number of significant figures as the number with the fewest significant figures used in the division (which is 2 in this case).
Add the result of the division to \(6.96\). When adding, round the final answer to the least number of decimal places present in the numbers being added.
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