Which of the following measurements is correctly reported to the appropriate number of significant figures after adding 12.34 g and 0.567 g?
A
12.9 g
B
13.0 g
C
12.91 g
D
12.907 g
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1
Identify the number of decimal places in each measurement: 12.34 g has 2 decimal places, and 0.567 g has 3 decimal places.
When adding or subtracting, the result should be reported with the same number of decimal places as the measurement with the fewest decimal places. Here, that is 2 decimal places.
Add the two numbers: 12.34 g + 0.567 g = 12.907 g (exact sum before rounding).
Round the sum to 2 decimal places (because 12.34 g has only 2 decimal places), which means keeping digits up to the hundredths place.
Compare the rounded result to the given options and select the one that matches the correctly rounded value.