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How many significant figures should be reported in the answer to the following calculation? (43.980) × (19.0023 + 25) = A) 3 B) 2 C) 4 D) 1 E) none of the above

User Seesharper
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Answer:

Explanation:

To determine the number of significant figures that should be reported in the answer to the given calculation, we need to consider the rules for significant figures in multiplication and addition.

For multiplication or division, the number of significant figures in the result should match the value with the fewest significant figures.

In the calculation (43.980) × (19.0023 + 25):

- The value 43.980 has 5 significant figures.

- The value 19.0023 has 6 significant figures.

- The value 25 has 2 significant figures.

First, let's add the numbers inside the parentheses:

19.0023 + 25 = 44.0023

Now, let's multiply the result by 43.980:

43.980 × 44.0023 = 1935.704094

Since the value 25 has the fewest significant figures (2), the final result should also have 2 significant figures.

Therefore, the correct answer is B) 2.

In summary, when multiplying (43.980) by (19.0023 + 25), the answer should be reported with 2 significant figures.

User Stefan Rein
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