College

Select the answer with the correct number of significant figures for the following calculation:

[tex]\[ 31.580 + 4.26 = \][/tex]

A. 35.8
B. 35.84
C. 35.840

Answer :

Sure! Let's solve the question step by step to find the answer with the correct number of significant figures for the given calculation.

### Calculation:
[tex]\[ 31.580 + 4.26 \][/tex]

### Step-by-Step Solution:

1. Perform the addition:
[tex]\[ 31.580 + 4.26 = 35.839999999999996 \][/tex]

2. Determine the number of decimal places for each number:
- The number 31.580 has three decimal places.
- The number 4.26 has two decimal places.

3. Identify the number with the least number of decimal places:
- Here, 4.26 has the least number of decimal places, which is two.

4. Round the result to the correct number of decimal places:
- Since 4.26 (the number with the least decimal places) has two decimal places, we round the result to two decimal places.

So, we round 35.839999999999996 to 35.84.

### Conclusion:
The answer with the correct number of significant figures is:

[tex]\[ \boxed{35.84} \][/tex]