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NEET PHYSICSEasy

Taking into account the significant figures, what is the value of 9.99 m−0.0099 m9.99\text{ m} - 0.0099\text{ m}?

A

9.98 m9.98\text{ m}

B

9.980 m9.980\text{ m}

C

9.9 m9.9\text{ m}

D

9.9801 m9.9801\text{ m}

Step-by-Step Solution

  1. Calculate the difference: 9.99 m−0.0099 m=9.9801 m9.99\text{ m} - 0.0099\text{ m} = 9.9801\text{ 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 9.999.99 has two decimal places, while 0.00990.0099 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 m9.9801\text{ m}) to two decimal places gives 9.98 m9.98\text{ m}.
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