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Calculate using sig figs: 123.4567 cm - 1.23 cm =

A) 122.2267 cm
B) 122.2 cm
C) 122.226 cm
D) 122.23 cm

User Anddoutoi
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1 Answer

7 votes

Final answer:

The problem 123.4567 cm - 1.23 cm requires subtraction following significant figures rules, resulting in a rounded answer of 122.23 cm, matching the least precise measurement. The correct answer is D.

Step-by-step explanation:

When solving the problem 123.4567 cm - 1.23 cm, we must use the rules of significant figures for subtraction. The rule states that the result should have the same number of decimal places as the measurement with the fewest decimal places. In this case, the number 1.23 cm has only two decimal places.

First, we perform the subtraction without rounding: 123.4567 cm - 1.23 cm = 122.2267 cm.

To conform to the rule of significant figures for subtraction, we round our answer to the same number of decimal places as the least precise measurement (1.23 cm), which is two decimal places. Thus, our answer becomes 122.23 cm. Therefore, the correct answer that respects significant figures is 122.23 cm (Option D).

User Marleni
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