Compound errors

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Transcript Compound errors

Compound errors
Example
The size of a square field is given as 90m correct
to the nearest 10 metres. Calculate the
possible range of values for
a) the side of the field
b) the area of the field
Example
If the radius of a sphere is given as 4cm correct
to the nearest whole number find the range of
values for the volume of this sphere.
Example
The sides of a rectangle are given as 5.2cm and
3.8cm correct to 1 decimal place.
Find
a) the upper limit of the area
b) the minimum area of the rectangle with
these dimensions
Example
If
x  3.1
correct to 1 dp and
y  6.52
to 2dp
Find the upper and lower limits for
(i)
xy
(ii)
y
x
correct
Example
Given that the numbers 8.6, 3.2 and 11.5 are all
accurate to 1 decimal place, calculate the upper
and lower bounds for the calculation
8.6  3.2
11.5