Taking into account the significant figures, what is the value of $9.99 ext{ m} - 0.0099 ext{ m}$?

Question

Taking into account the significant figures, what is the value of $9.99	ext{ m} - 0.0099	ext{ m}$?

Accepted Answer

1. **Calculate the difference:** $9.99	ext{ m} - 0.0099	ext{ m} = 9.9801	ext{ m}$.
2. **Apply significant figures rules for subtraction:** According to the rules of significant figures for addition or subtraction, the final result should retain as many decimal places as are there in the number with the least decimal places.
3. **Identify the number of decimal places:** The number $9.99$ has two decimal places, while $0.0099$ has four decimal places. Thus, the least number of decimal places is two.
4. **Round off the result:** Rounding off the calculated difference ($9.9801	ext{ m}$) to two decimal places gives $9.98	ext{ m}$.

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