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]
### 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]
