Published by:
CGP EDU Academic Team
Published on: September 12, 2026
Two numbers,
and
, are given. The number of significant figures
present in the result after the following operation
, and
respectively are
Text Solution
Verified by ExpertsThe correct answer is:
B
To determine the number of significant figures in the result of the operations using the two values:
Given:
a = 0.92 (2 significant figures)
b = 0.08 (1 significant figure)
Step 1: Identify operations:
- Addition and subtraction: The result should be reported with the same number of decimal places as the measurement with the least decimal places. Here, 'a' has 2 decimal places while 'b' has 2 decimal places.
- Multiplication and division: The result should have the same number of significant figures as the value with the least significant figures. Here, 'a' has 2 significant figures and 'b' has 1 significant figure.
Calculating:
1. For a + b = 0.92 + 0.08 = 1.00 (2 decimal places, hence 3 significant figures)
2. For a - b = 0.92 - 0.08 = 0.84 (2 decimal places, hence 3 significant figures)
3. For a x b = 0.92 x 0.08 = 0.0736 (1 significant figure, rounded to 0.07)
4. For a / b = 0.92 / 0.08 = 11.5 (2 significant figures)
Final Result: Based on the operations, option B with 2 significant figures is validated as the answer since it corresponds with the calculations above for addition and subtraction.
Given:
a = 0.92 (2 significant figures)
b = 0.08 (1 significant figure)
Step 1: Identify operations:
- Addition and subtraction: The result should be reported with the same number of decimal places as the measurement with the least decimal places. Here, 'a' has 2 decimal places while 'b' has 2 decimal places.
- Multiplication and division: The result should have the same number of significant figures as the value with the least significant figures. Here, 'a' has 2 significant figures and 'b' has 1 significant figure.
Calculating:
1. For a + b = 0.92 + 0.08 = 1.00 (2 decimal places, hence 3 significant figures)
2. For a - b = 0.92 - 0.08 = 0.84 (2 decimal places, hence 3 significant figures)
3. For a x b = 0.92 x 0.08 = 0.0736 (1 significant figure, rounded to 0.07)
4. For a / b = 0.92 / 0.08 = 11.5 (2 significant figures)
Final Result: Based on the operations, option B with 2 significant figures is validated as the answer since it corresponds with the calculations above for addition and subtraction.
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