Textbook Question
Perform each of the following calculations, and give an answer with the correct number of significant figures:b. 0.002 78 x 5
2. Measurement and Problem Solving
Significant Figures: In Calculations
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What answer should be reported, with the correct number of significant figures, for the following calculation?
A
0.00822
B
0.0845
C
0.0921
D
0.0947
Verified step by step guidance1
Identify the operations involved in the calculation: subtraction, multiplication, and division.
Determine the number of significant figures for each number in the calculation. For example, 42.00 has four significant figures, while 40.914 has five.
Perform the subtraction operations: (42.00 - 40.914) and (25.739 - 25.729). Remember that the result should have the same number of decimal places as the number with the fewest decimal places in the operation.
Perform the multiplication operations: multiply the results of the subtractions. The result should have the same number of significant figures as the number with the fewest significant figures in the multiplication.
Perform the division operation: divide the result of the multiplication by the sum of the products in the denominator. The final result should be reported with the correct number of significant figures, which is determined by the number with the fewest significant figures in the entire calculation.
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