Question:
From the point of view of significant figures, which of the following is/are correct?
(i) $1.3~cm + 4~cm = 15.3~cm$
(ii) $4.53~m - 1.2~m = 3.3~m$
(iii) $5.45~kg - 3.2~kg = 2.25~kg$
(iv) $4.8~cm + 48.6~cm = 133~cm$
From the point of view of significant figures, which of the following is/are correct?
(i) $1.3~cm + 4~cm = 15.3~cm$
(ii) $4.53~m - 1.2~m = 3.3~m$
(iii) $5.45~kg - 3.2~kg = 2.25~kg$
(iv) $4.8~cm + 48.6~cm = 133~cm$
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Addition/Subtraction rule: Least precise decimal place wins!
Updated On: Jun 6, 2026
- (ii) only
- (iv) only
- (i) & (iii)
- (ii) & (iv)
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The Correct Option is A
Solution and Explanation
Step 1: Concept
Significant figures in addition and subtraction.
Step 2: Meaning
The result should have the same number of decimal places as the measurement with the fewest decimal places.
Step 3: Analysis
(i) $1.3+4=5.3$ (the source has a typo: $15.3$ is incorrect). (ii) $4.53 - 1.2 = 3.33 \rightarrow 3.3$ (correct to one decimal place). (iii) $5.45 - 3.2 = 2.25 \rightarrow 2.3$ (incorrect). (iv) $4.8 + 48.6 = 53.4$ (the source has $133$, which is incorrect).
Step 4: Conclusion
Only (ii) is correct based on significant figure rules.
Final Answer: (A)
Significant figures in addition and subtraction.
Step 2: Meaning
The result should have the same number of decimal places as the measurement with the fewest decimal places.
Step 3: Analysis
(i) $1.3+4=5.3$ (the source has a typo: $15.3$ is incorrect). (ii) $4.53 - 1.2 = 3.33 \rightarrow 3.3$ (correct to one decimal place). (iii) $5.45 - 3.2 = 2.25 \rightarrow 2.3$ (incorrect). (iv) $4.8 + 48.6 = 53.4$ (the source has $133$, which is incorrect).
Step 4: Conclusion
Only (ii) is correct based on significant figure rules.
Final Answer: (A)
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