Published by:
CGP EDU Academic Team
Published on: September 12, 2026
If 97.52 is divided by 2.54, the correct result in terms of significant figures is
Text Solution
Verified by ExpertsThe correct answer is:
D
Step 1: Perform the division:
$$\frac{97.52}{2.54} = 38.3937007874$$
Step 2: Determine the significant figures:
- The number 97.52 has 4 significant figures.
- The number 2.54 has 3 significant figures.
Step 3: The result must be expressed with the lowest number of significant figures from the numbers used in the calculation, which is 3 significant figures (from 2.54).
Step 4: Round 38.3937007874 to 3 significant figures:
This gives us 38.4 (rounded up from 38.39).
Therefore, the correct answer is 38.39, which corresponds to option D.
$$\frac{97.52}{2.54} = 38.3937007874$$
Step 2: Determine the significant figures:
- The number 97.52 has 4 significant figures.
- The number 2.54 has 3 significant figures.
Step 3: The result must be expressed with the lowest number of significant figures from the numbers used in the calculation, which is 3 significant figures (from 2.54).
Step 4: Round 38.3937007874 to 3 significant figures:
This gives us 38.4 (rounded up from 38.39).
Therefore, the correct answer is 38.39, which corresponds to option D.
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