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Lesson Objectives Know how perform mathematical operations using significant figures
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Operations w/Significant Figures
When performing mathematical operations, you are dealing with more than one measurement Each measurement you use in an equation may come from a different measuring device Your final answer must reflect least precise of your measurements
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Operations w/Significant Figures
To show this, in equations we must find this measurement which is known as the limiting term or limiting measurement In multiplication and division, this measurement is the one with the least number of significant figures
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Limiting Term Examples
32 6, 8
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Limiting Term Examples
0.04
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Limiting Term Examples
,745 300
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Operations w/Significant Figures
After you know the limiting term, you use your calculator to perform the operation If the calculator displays more significant figures than the limiting measurement, you must round to that many significant figures If the calculator does not display enough significant figures, you must add zeros after the decimal point
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Multiplication Examples
Calculator Round 23
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Multiplication Examples
Calculator Round 11.3
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Multiplication Examples
Calculator 0.008 Round
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Multiplication Examples
Calculator 164,100 Round 200,000
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Division Examples 3.6 / 5 Calculator 0.72 Round 0.7
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Division Examples / 0.020 Calculator Round 0.38
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570 / 56 Calculator 10.17857143 Round 10 Scientific 1.0 x 101
Division Examples 570 / 56 Calculator Round 10 Scientific 1.0 x 101
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Operations w/Significant Figures
In addition and subtraction, the limiting measurement is the one with the least number of decimal places If both numbers have no decimal places, the limiting term is the one with the most trailing zeros
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Limiting Term Examples
,099 1,099
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Limiting Term Examples
780.2
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Limiting Term Examples
32 6, All the same
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Operations w/Significant Figures
After you know the limiting term, you use your calculator to perform the operation If the calculator displays more places than the limiting measurement, you must round to that decimal place or to the place of the rightmost significant figure
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Operations w/Significant Figures
If the calculator does not display enough places, you must add zeros after the decimal point to fill those places
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Addition Examples Calculator Round 24.1
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Addition Examples 2, Calculator 2,890 Round 2,890.0
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Subtraction Examples 45.82 – 22.7 Calculator 23.12 Round 23.1
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Subtraction Examples 1,870 – 0.42 Calculator 1,869.58 Round 1,870
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