High School

What is the addition and subtraction rule with significant figures? Please provide some specific examples.

How many significant figures are there in the sum of 53.5 + 46.5?

Answer :

The addition and subtraction rule with significant figures: Round the result to the same decimal place as the measurement with the fewest decimal places.

What is the rule for determining significant figures in addition and subtraction?

When performing addition or subtraction calculations with measurements, it is important to consider the number of decimal places in the numbers involved.

The rule states that the result of the calculation should be rounded to the same decimal place as the measurement with the fewest decimal places.

For example, let's consider the addition of 53.5 and 46.5. The measurement with the fewest decimal places is 46.5, which has one decimal place.

Therefore, the result of the addition should also be rounded to one decimal place, giving us 100.0.

In this case, the sum of 53.5 and 46.5 would have three significant figures, as it is determined by the measurement with the fewest significant figures (46.5) which has three significant figures.

By applying the addition and subtraction rule with significant figures, we ensure that the precision of the result aligns with the least precise measurement involved in the calculation.

Learn more about significant figures

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