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Published byHelena Hicks Modified over 9 years ago
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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
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Accuracy Decimal Places & Significant Figures 1. Round to 2dp a) 2.467b)3.457 c) 42.195 2. Round to 2sf a) 4.567b) 0.00348 c) 3.0052 d) 1005
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Accuracy Give the upper and lower bounds of the following measurements a)10cm (nearest cm) b)12cm (nearest cm) c)7.5cm (1dp) d)110 (2sf) e)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.
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Accuracy Upper / Lower Bounds 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 Maximum (Upper Bound ) = Max ÷ Min Maximum (Lower Bound ) = Min ÷ Max + - × ÷
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Normal Value Lower Bound Upper Bound 4.15 + 4.26 10.68 - 7.5 11.4 x 3.6 53 ÷ 10.4 Accuracy Upper / Lower Bounds Find the normal value and the lower / upper bounds for a) b) c) d)
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Additional Notes
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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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