Keeping the significant figures in view, the sum of the physical quantities , and is :
- A
- B
- C
- D
Keeping the significant figures in view, the sum of the physical quantities , and is :
Correct answer:D
Standard Method
Given: The quantities are , and .
Find: The correct sum keeping significant figures in view.
When physical quantities are added, the result must be reported to the same number of decimal places as the quantity with the fewest decimal places.
Here:
So the final answer must be rounded to one decimal place.
First, add the given quantities:
Now round to one decimal place:
Therefore, the sum with significant figures is . The correct option is D.
Using the rule for multiplication or division here is incorrect. For addition, the limiting factor is the number of decimal places, not the total number of significant figures. Always round the final sum based on the least number of decimal places.
Choosing without rounding is incorrect because it keeps more decimal places than justified by the least precise measurement. After adding, round the result to one decimal place.
Rounding each term before adding can change the result unnecessarily. First add all the given values as written, then round only the final answer according to the decimal-place rule.
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