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Multiple Choice
Perform the following mathematical operations and express the result to the correct number of significant figures. (6.404 × 2.91) / (18.7 – 17.1)
A
11.65
B
11.7
C
10
D
12
E
11.625
Verified step by step guidance
1
Step 1: Begin by performing the multiplication operation in the numerator: Multiply 6.404 by 2.91. When multiplying, the number of significant figures in the result should be the same as the number with the fewest significant figures in the operation.
Step 2: Next, perform the subtraction operation in the denominator: Subtract 17.1 from 18.7. When subtracting, the number of decimal places in the result should be the same as the number with the fewest decimal places in the operation.
Step 3: Divide the result from Step 1 by the result from Step 2. The number of significant figures in the final result should be determined by the number with the fewest significant figures from the previous operations.
Step 4: Review the significant figures in each part of the calculation to ensure the final result is expressed with the correct number of significant figures.
Step 5: Compare the calculated result with the provided options to determine which one matches the correct number of significant figures.