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Accuracy

Accuracy. Learning Outcomes Round off to a given number of decimal places Round off to a given number of significant figures Calculate the upper and lower bounds in the addition, subtraction, multiplication and division of numbers expressed to a given degree of accuracy

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Accuracy

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  1. Accuracy • Learning Outcomes • Round off to a given number of decimal places • Round off to a given number of significant figures • Calculate the upper and lower bounds in the addition, subtraction, multiplication and division of numbers expressed to a given degree of accuracy • Determine the possible effects of errors in calculations which involve measurement

  2. Accuracy Decimal Places & Significant Figures 1. Round to 2dp a) 2.467 b)3.457 c) 42.195 2. Round to 2sf a) 4.567 b) 0.00348 c) 3.0052 d) 1005

  3. Accuracy Accuracy Give the upper and lower bounds of the following measurements • 10cm (nearest cm) • 12cm (nearest cm) • 7.5cm (1dp) • 110 (2sf) • 5.13 (2dp) Calculations involving upper & lower bounds in the addition, subtraction, multiplication and dimension of numbers are expressed to a given degree of accuracy.

  4. Maximum (Upper Bound ) = Max + Max Maximum (Lower Bound ) = Min + Min + - Maximum (Upper Bound ) = Max - Min Maximum (Lower Bound ) = Min - Max × Maximum (Upper Bound ) = Max × Max Maximum (Lower Bound ) = Min × Min Accuracy ÷ Maximum (Upper Bound ) = Max ÷ Min Maximum (Lower Bound ) = Min ÷ Max Upper / Lower Bounds

  5. Accuracy Upper / Lower Bounds Find the normal value and the lower / upper bounds for a) b) c) d)

  6. Additional Notes

  7. Accuracy Learning Outcomes: At the end of the topic I will be able to Can Revise Do Further   • Round off to a given number of decimal places • Round off to a given number of significant figures • Calculate the upper and lower bounds in the addition, subtraction, multiplication and division of numbers expressed to a given degree of accuracy • Determine the possible effects of errors in calculations which involve measurement      

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