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Calculating with Measured Quantities

Calculating with Measured Quantities. Rules for Using Significant Figures in Measurement. Addition and Subtraction with Significant Figures. Any calculation can only be as accurate as the least accurate instrument.

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Calculating with Measured Quantities

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  1. Calculating with Measured Quantities Rules for Using Significant Figures in Measurement

  2. Addition and Subtraction with Significant Figures • Any calculation can only be as accurate as the least accurate instrument. • In addition and subtraction problems, the answer must be rounded to same number of decimal places as the leastaccurate measurement in the problem.

  3. Addition and Subtraction Using Significant Figures • Add the following measurements and express the answer to the correct number of significant figures. • 16.345g + 14.4g + 11.29g = • 42.035g • Is this the correct way to express the answer? • NO!!! We are limited by our least accurate measurement. • 42.0g is correct.

  4. Addition and Subtraction Using Significant Figures • 24.5L – 14.032L = • 10.468L • Is this the correct way to express the answer? • No!!! Again, we are limited by the accuracy of the least accurate measurement. • 10.5L is correct.

  5. Multiplication and Division with Significant Figures • Any calculation can only be as accurate as the least accurate instrument. • Any product or quotient must be rounded to contain the same number of significant figures as the least accurate measurement in the problem.

  6. Multiplication and Division with Significant Figures • Calculate the area to the correct number of significant figures. • 11.34m x 1.25m = • 14.175m2 • Is this the correct way to express the answer?? • NO!!! Our answer is limited by the least accurate ruler. • 14.2m2 is correct.

  7. Multiplication and Division with Significant Figures • Calculate the density to the correct number of significant figures. • 5.325g/6.0L = • 0.8875g/L • Is this the correct way to express the result? • NO!!! We are always limited by the least accurate instrument. • 0.89g/L is correct.

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