Significant Figures in Subtraction – Rankers Physics
Topic: Unit And Dimensions
Subtopic: Error Analysis

Significant Figures in Subtraction

Taking into account of the significant figures, what is the value of \(9.99 \text{m} - 0.0099 \text{m}\)?

[NEET 2020]

\(9.98 m\)
\(9.980 \text{m}\)
\(9.9 \text{m}\)
\(9.9801 \text{m}\)

Solution:

The numbers are \(9.99 \text{m}\) (2 decimal places) and \(0.0099 \text{m}\) (4 decimal places). For subtraction, the result should have the same number of decimal places as the number with the fewest decimal places (2 in this case). \(9.9900 - 0.0099 = 9.9801\). Rounding \(9.9801\) to 2 decimal places gives \(9.98 \text{m}\).

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