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

\[ 31.580 + 4.26 = \]

A. 35.8
B. 35.84
C. 35.840

Answer :

Sure! Let's solve this step-by-step to find the correct number of significant figures for the addition of [tex]\( 31.580 \)[/tex] and [tex]\( 4.26 \)[/tex].

### Step 1: Perform the Calculation
First, add the numbers together:
[tex]\[ 31.580 + 4.26 \][/tex]

### Step 2: Determine the Number of Decimal Places
When adding or subtracting numbers, the result should be rounded to the same number of decimal places as the term with the fewest decimal places.

- [tex]\( 31.580 \)[/tex] has 3 decimal places.
- [tex]\( 4.26 \)[/tex] has 2 decimal places.

### Step 3: Round the Result
The term with the fewest decimal places is [tex]\( 4.26 \)[/tex], which has 2 decimal places. Therefore, we must round our result to 2 decimal places.

Performing the addition:
[tex]\[ 31.580 + 4.26 = 35.840 \][/tex]

Now, round this result to 2 decimal places:
[tex]\[ 35.840 \approx 35.84 \][/tex]

### Conclusion
Thus, the correct answer to the addition [tex]\( 31.580 + 4.26 \)[/tex] with the proper number of significant figures is [tex]\( 35.84 \)[/tex].

So, the answer is:
[tex]\[ \boxed{35.84} \][/tex]

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