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Ch.1 - Matter, Measurement & Problem Solving
Chapter 1, Problem 84d

Calculate to the correct number of significant figures. d. 453 ÷ 2.031

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Significant Figures

Significant figures are the digits in a number that contribute to its precision. This includes all non-zero digits, any zeros between significant digits, and trailing zeros in the decimal portion. Understanding significant figures is crucial for accurately reporting measurements and calculations in chemistry.
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Division and Significant Figures

When performing division, the result should be reported with the same number of significant figures as the measurement with the least number of significant figures. This rule ensures that the precision of the result reflects the precision of the least precise measurement involved in the calculation.
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Calculating with Significant Figures

To calculate with significant figures, first perform the mathematical operation, then round the result to the appropriate number of significant figures based on the inputs. For the division of 453 by 2.031, you would first calculate the quotient and then adjust the final answer to match the significant figures of the number with the least precision.
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