College

Select the answer with the correct number of significant figures for each calculation.

1. [tex]31.580 + 4.26 =[/tex]
- A. 35.8
- B. 35.84
- C. 35.840

2. [tex]1.0250 - 0.00063 =[/tex]
- A. 1.02
- B. 1.0244
- C. 1.02437

Answer :

Sure, I'd be happy to help explain how to find the answer to the question about significant figures.

1. 31.580 + 4.26:

- When adding numbers, the number of decimal places in the result should be the same as the number in the term with the least decimal places.
- Here, 31.580 has three decimal places and 4.26 has two decimal places. So, your result should have two decimal places.
- Adding them together gives: 31.580 + 4.26 = 35.840.
- To match the term with the least number of decimal places (two decimal places), we round 35.840 to 35.84.

2. 1.0250 - 0.00063:

- When subtracting numbers, the same rule applies: use the number of decimal places from the term with the fewest.
- Here, 1.0250 has four decimal places and 0.00063 has five decimal places. Thus, the result should have four decimal places.
- Subtracting them results in: 1.0250 - 0.00063 = 1.02437.
- To keep four decimal places, we round 1.02437 to 1.0244.

So, the rounded results are 35.84 for the addition and 1.0244 for the subtraction.