Why multiplication and division rules for significant figures differ from addition
In short: Precision in scientific calculation depends on the measurement with the least certainty. This video explains how to correctly round results when multiplying or dividing, ensuring your final answer reflects the limitations of your original data.
When performing multiplication or division, the final result must be constrained by the measurement that has the fewest significant figures. This approach differs fundamentally from addition and subtraction, which prioritize the number of decimal places rather than the total count of significant digits.
After completing the calculation, you must round the final figure to match the precision of the least certain input. If you are rounding and dropping digits to the left of the decimal point, you must replace those placeholders with zeros to maintain the correct magnitude.
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Sources
- Summary by Intellect · source: Multiplying and dividing significant figures | Science Toolkit | Khan Academy
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