Significant digits in intermediate answers

In summary, the conversation discusses the criteria for an intermediate answer and how it relates to the calculation to determine the current needed to produce 10.0g of lithium in 1.00h. The participants question whether the answers to steps 1 and 2 should be considered 'final' and rounded to 3 digits or intermediate and rounded to 3+1 extra. The final request is to report the answer in 3 significant digits and continue the calculation using 3+1 to minimize roundoff error.
  • #1
purpledonkey
3
0
Just wondering if anyone could clarify what qualifies as an intermediate answer. Is this limited to answers within the same calculation, or all the answers from steps leading to the final one?

ie. What is the current needed to produce 10.0g of lithium in 1.00h?

Step 1: Determine moles of Li and thus moles of e- involved.
Step 2: Multiply moles of e- by farads.
Step 3: Calculate the current.

So, are the answers to steps 1&2 considered 'final' and rounded to 3 digits, or intermediate and rounded to 3+1 extra?
 
Physics news on Phys.org
  • #2
Report the answer in 3 significant digits. Continue the calculation using 3+1 to minimize roundoff error and report the answer in 3 significant digits.
 
  • #3


I can clarify that intermediate answers refer to any calculations or steps that are performed in order to reach the final answer. This includes all answers from previous steps, not just the final calculation. In the example given, the answers from steps 1 and 2 would also be considered intermediate answers and should be rounded to the appropriate number of significant digits. The final answer should then be rounded to the appropriate number of significant digits based on the given data and the rules for significant figures. It is important to maintain the correct number of significant digits throughout all calculations in order to ensure accurate and precise results.
 

Related to Significant digits in intermediate answers

1. What are significant digits in intermediate answers?

Significant digits in intermediate answers refer to the number of digits in a calculated result that are considered meaningful and accurate. These digits represent the precision of the calculation and are determined by the number of significant digits in the original values used in the calculation.

2. Why are significant digits important in intermediate answers?

Significant digits are important in intermediate answers because they help maintain the accuracy and precision of the final result. Without considering significant digits, the final answer may appear to be more accurate than it actually is, leading to potential errors in further calculations or data analysis.

3. How do you determine the number of significant digits in intermediate answers?

The number of significant digits in intermediate answers can be determined by looking at the original values used in the calculation. The general rule is that the result should have the same number of significant digits as the value with the fewest significant digits. If the original values have different numbers of significant digits, the result should be rounded to the same number of significant digits as the value with the least precision.

4. Can significant digits change in intermediate answers?

Yes, significant digits can change in intermediate answers as the calculation progresses. This can happen when performing operations such as multiplication or division, where the number of significant digits in the result may be different from the original values. It is important to adjust the number of significant digits throughout the calculation to maintain accuracy.

5. How do significant digits affect the final result?

The number of significant digits in intermediate answers can have a significant impact on the final result. If the intermediate answers are not rounded correctly, the final result may appear to be more accurate than it actually is. Additionally, if the final result is rounded to a different number of significant digits than the intermediate answers, the final result may be less precise than it should be.

Similar threads

  • Introductory Physics Homework Help
Replies
8
Views
724
  • Biology and Chemistry Homework Help
Replies
14
Views
8K
  • Biology and Chemistry Homework Help
Replies
2
Views
2K
  • Introductory Physics Homework Help
Replies
4
Views
1K
Replies
10
Views
6K
  • Precalculus Mathematics Homework Help
Replies
6
Views
810
Replies
6
Views
1K
  • Introductory Physics Homework Help
Replies
6
Views
667
  • Biology and Chemistry Homework Help
Replies
2
Views
3K
  • Precalculus Mathematics Homework Help
Replies
6
Views
1K
Back
Top