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
Decimal Places &
Significant Figures
Accuracy
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 + 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
Upper / Lower Bounds
Accuracy
Find the normal value and the lower / upper bounds for
Normal Value
4.15
+
4.26
b)
10.68
-
7.5
c)
11.4
x
3.6
53
÷
10.4
a)
d)
Lower
Bound
Upper
Bound
Additional Notes
Accuracy
Learning Outcomes:
At the end of the topic I will be able to

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
Can
Do
Revise
Further
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