Answer :
Sure, I can help explain how to determine the significant figures for each part of the calculation:
1. Addition: [tex]\(31.580 + 4.26\)[/tex]
When adding numbers, the result should have the same number of decimal places as the number with the least decimal places in the original numbers. Here, the numbers are:
- [tex]\(31.580\)[/tex] with 3 decimal places, and
- [tex]\(4.26\)[/tex] with 2 decimal places.
Therefore, the result should be rounded to 2 decimal places. So, when you add [tex]\(31.580\)[/tex] and [tex]\(4.26\)[/tex], you get:
[tex]\[
31.580 + 4.26 = 35.840
\][/tex]
Rounded to 2 decimal places, this is [tex]\(35.84\)[/tex].
2. Subtraction: [tex]\(1.0250 - 0.00063\)[/tex]
For subtraction, just like addition, the result should have the same number of decimal places as the number with the least decimal places in the original numbers. Here, the numbers are:
- [tex]\(1.0250\)[/tex] with 4 decimal places, and
- [tex]\(0.00063\)[/tex] with 5 decimal places.
The number with the least decimal places is [tex]\(1.0250\)[/tex] with 4 decimal places. So, the subtraction result should also be rounded to 4 decimal places. Performing the subtraction:
[tex]\[
1.0250 - 0.00063 = 1.02437
\][/tex]
Rounded to 4 decimal places, this is [tex]\(1.0244\)[/tex].
Final Answers:
- For [tex]\(31.580 + 4.26\)[/tex], the correct answer is [tex]\(35.84\)[/tex].
- For [tex]\(1.0250 - 0.00063\)[/tex], the correct answer is [tex]\(1.0244\)[/tex].
1. Addition: [tex]\(31.580 + 4.26\)[/tex]
When adding numbers, the result should have the same number of decimal places as the number with the least decimal places in the original numbers. Here, the numbers are:
- [tex]\(31.580\)[/tex] with 3 decimal places, and
- [tex]\(4.26\)[/tex] with 2 decimal places.
Therefore, the result should be rounded to 2 decimal places. So, when you add [tex]\(31.580\)[/tex] and [tex]\(4.26\)[/tex], you get:
[tex]\[
31.580 + 4.26 = 35.840
\][/tex]
Rounded to 2 decimal places, this is [tex]\(35.84\)[/tex].
2. Subtraction: [tex]\(1.0250 - 0.00063\)[/tex]
For subtraction, just like addition, the result should have the same number of decimal places as the number with the least decimal places in the original numbers. Here, the numbers are:
- [tex]\(1.0250\)[/tex] with 4 decimal places, and
- [tex]\(0.00063\)[/tex] with 5 decimal places.
The number with the least decimal places is [tex]\(1.0250\)[/tex] with 4 decimal places. So, the subtraction result should also be rounded to 4 decimal places. Performing the subtraction:
[tex]\[
1.0250 - 0.00063 = 1.02437
\][/tex]
Rounded to 4 decimal places, this is [tex]\(1.0244\)[/tex].
Final Answers:
- For [tex]\(31.580 + 4.26\)[/tex], the correct answer is [tex]\(35.84\)[/tex].
- For [tex]\(1.0250 - 0.00063\)[/tex], the correct answer is [tex]\(1.0244\)[/tex].
