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

AccuracyDecimal 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

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.

Accuracy Upper / Lower Bounds

Maximum (Upper Bound ) = Max + MaxMaximum (Lower Bound ) = Min + Min

Maximum (Upper Bound ) = Max - MinMaximum (Lower Bound ) = Min - Max

Maximum (Upper Bound ) = Max × MaxMaximum (Lower Bound ) = Min × Min

Maximum (Upper Bound ) = Max ÷ MinMaximum (Lower Bound ) = Min ÷ Max

+

-

×

÷

Normal ValueLower 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)

Additional Notes

AccuracyLearning 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