7M10 Relative Error & Magnitude
Classroom:
Error:
Relative Error:

You measure the classroom to be 30.5 ft long.

You measure your desk to be 2.5 ft wide.

The classroom is actually 31 ft long and the desk

is 2 ft wide. Calculate the relative errors to the

nearest tenth of a percent.

Which measurement had less relative error?

Less Relative Error

ft

%
Error:
Relative Error:
Desk:
Less Relative Error

ft

%

120 people

Relative Error:

Two surveys are conducted. In both surveys

24 forms are filled out incorrectly.

If one survey included 120 people and

the other survey included 8,000 people,

calculate the relative errors to the

nearest tenth of a percent.

Which survey had less relative error?

Less Relative Error
%
Relative Error:

8,000 people

Less Relative Error
%
Pencil:
Error:
Relative Error:
You measure your pencil and find that it is 7.5 cm
long, but it is really 8 cm long. You measure your
desk and find that it is 83.1 cm wide, but it is really
82.6 cm wide.
Calculate and compare the relative errors of both
measurements, round to the nearest tenth
of a percent.
Less Relative Error
cm
%
Error:
Relative Error:
Desk:
Less Relative Error
cm
%

400 people

Relative Error:
Two surveys are taken on the same topic. The first
survey included 400 people. The second survey
included 3,500. In both surveys, 22 people’s
responses were not counted because they filled out
the form incorrectly.
Calculate and compare the relative errors of both
surveys, round to the nearest tenth of a percent.

Less Relative Error
%
Relative Error:

3,500 people

Less Relative Error
%
Pencil:
Error:
Relative Error:
You measure your cell phone and find that it is 9.7 cm
long, but it is really 10.5 cm long. You measure your
table and find that it is 73.1 cm wide, but it is really
72.3 cm wide.
Calculate and compare the relative errors of both
measurements, round to the nearest tenth
of a percent.
Less Relative Error
cm
%
Error:
Relative Error:
Desk:
Less Relative Error
cm
%

5,000 people

Relative Error:
Two surveys are taken on the same topic. The first
survey included 5,000 people. The second survey
included 300. In both surveys, 19 people’s
responses were not counted because they filled out
the form incorrectly.
Calculate and compare the relative errors of both
surveys, round to the nearest tenth of a percent.

Less Relative Error
%
Relative Error:

300 people

Less Relative Error
%
Table:
Error:
Relative Error:
You measure your table and find that it is 70.1 cm
long, but it is really 71 cm long. You measure your
marker and find that it is 6.4 cm wide, but it is really
5.5 cm wide.
Calculate and compare the relative errors of both
measurements, round to the nearest tenth
of a percent.
Less Relative Error
cm
%
Error:
Relative Error:
Marker:
Less Relative Error
cm
%
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