Let's break down the solution to find the correct number of significant figures.
### Step-by-Step Solution:
1. Identify the given numbers and their significant figures:
- [tex]\( 31.580 \)[/tex] has 5 significant figures.
- [tex]\( 4.26 \)[/tex] has 3 significant figures.
2. Perform the addition:
- Adding these numbers together, you get [tex]\( 31.580 + 4.26 = 35.839999999999996 \)[/tex].
3. Determine the appropriate number of decimal places:
- In addition, the result should be rounded to the least number of decimal places of the numbers being added. Here, [tex]\( 4.26 \)[/tex] has 2 decimal places, which is the least among the numbers.
4. Round the result to the appropriate number of decimal places:
- Rounding [tex]\( 35.839999999999996 \)[/tex] to 2 decimal places, we get [tex]\( 35.84 \)[/tex].
### Conclusion:
The answer with the correct number of significant figures is [tex]\( 35.84 \)[/tex].
