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Reporting Appropriate Precision
An answer should never claim more precision than the least precise measurement used to calculate it.
Matching Your Inputs
Example 1 — matching significant figures in multiplication
Calculate , and report the answer to appropriate precision.
- Raw calculator answer:
- has significant figures — the least precise input
- Round the answer to significant figures
Answer: ≈
Example 2 — matching decimal places in addition
Add cm ( decimal place) and cm ( decimal places), and report to appropriate precision.
- Raw sum:
- For addition, match the fewest decimal places used (not significant figures): has decimal place
- Round the answer to decimal place
Answer: cm
Practice
( significant figures) is multiplied by ( significant figures), giving on a calculator. What should be reported as the answer?
More lessons in Numerical Precision, Accuracy and Errors · Next: Floating-Point Numbers · Previous: Accumulated Error
