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## Accuracy

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