High School

Which one of the following options would give the correct number of significant figures when the following masses are added together: 3.6 kg, 104 kg, and 4.17 kg?

A. 111.7700 kg
B. 111.8 kg
C. 111.770 kg
D. 112 kg
E. 111.77 kg

Answer :

The one that would give the correct number of significant figures when the masses, 3.6 kg, 104 kg, and 4.17 kg, are added together is 111.8 kg.

When adding measurements, we need to pay attention to significant figures. The following are the rules for adding significant figures:

Step 1: The number with the greatest number of digits is found in the numbers being added.

Step 2: Sum up the numbers being added and round off the result to the same number of significant figures as the one with the smallest number of significant figures.

3.6 kg contains two significant figures.

104 kg contains three significant figures.

4.17 kg contains three significant figures.

We need to find the sum of these numbers by following the steps given above:

111.77 kg (Correct sum to the nearest hundredth)

111.8 kg (Correct sum to one decimal place)

Therefore, the correct number of significant figures when 3.6 kg, 104 kg, and 4.17 kg are added together is 111.8 kg.

Learn more about significant figures here: https://brainly.com/question/24630099

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