Unit 11
Units of Measurements
Presentation 1 Units and Measuring
Presentation 2 Upper and Lowers Bounds
Unit 11
Units of Measurements
Units and Measuring
Different units can be used to measure the
same quantities. It is important to use
appropriate units. Some important units are
listed below.
1 km
1 m
1 m
1 cm
1 tonne
1 kg
1 litre
1m3
1cm3
=
=
=
=
=
=
=
=
=
1000
100
1000
10
1000
1000
1000
1000
1
m
cm
mm
mm
kg
g
ml
litres
ml
What would be the best units to use when
measuring the following:
a)The distance between Negril and Kingston
b)The width of a watch face
c)The mass of a person
d)The mass of a letter
e)The mass of a truck
f)The volume of medicine in a spoon
g)The volume of water in a swimming pool
km
cm or mm
kg
g
tonnes
ml
m3
Length in m Length in cm Length in mm
4
311
1500
8∙62
400 4000
31103∙11
1∙5 150
8620862
Unit 11
Units of Measurements
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Units and Measuring
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Presentation 1 Units and Measuring
Presentation 2 Upper and Lower Bounds
Unit 11
Units of Measurements
Upper and Lower Bounds
Measurements are not exact
If the length of a line is given as 11mm, then
its length, in mm, lies between:
Note that the lower bound is less than or
equal to the length whereas the upper
bound is strictly greater than the length
10∙5 ≤ length < 11∙5
Example
A line is measured as 12∙7cm
State the range of values within which its
real length, in cm, must lie.
Solution
12∙65 ≤ 12∙7 < 12∙75
AA BB
Area = cm2Area = cm2
Area = cm2Area = cm2
10 12
CC
DD
Area = cm2Area = cm2
Area ≈ cm2Area ≈ cm2
12∙5 14∙5
EE
Area ≈ cm2Area ≈ cm2
22
Unit 11
Units of Measurements
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Upper and Lower Bounds
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Presentation 1 Units and Measuring
Presentation 2 Upper and Lower Bounds

Math unit11 units of measurement

  • 1.
    Unit 11 Units ofMeasurements Presentation 1 Units and Measuring Presentation 2 Upper and Lowers Bounds
  • 2.
    Unit 11 Units ofMeasurements Units and Measuring
  • 3.
    Different units canbe used to measure the same quantities. It is important to use appropriate units. Some important units are listed below. 1 km 1 m 1 m 1 cm 1 tonne 1 kg 1 litre 1m3 1cm3 = = = = = = = = = 1000 100 1000 10 1000 1000 1000 1000 1 m cm mm mm kg g ml litres ml
  • 4.
    What would bethe best units to use when measuring the following: a)The distance between Negril and Kingston b)The width of a watch face c)The mass of a person d)The mass of a letter e)The mass of a truck f)The volume of medicine in a spoon g)The volume of water in a swimming pool km cm or mm kg g tonnes ml m3
  • 5.
    Length in mLength in cm Length in mm 4 311 1500 8∙62 400 4000 31103∙11 1∙5 150 8620862
  • 6.
    Unit 11 Units ofMeasurements You have finished viewing: Units and Measuring Return to front slide Presentation 1 Units and Measuring Presentation 2 Upper and Lower Bounds
  • 7.
    Unit 11 Units ofMeasurements Upper and Lower Bounds
  • 8.
    Measurements are notexact If the length of a line is given as 11mm, then its length, in mm, lies between: Note that the lower bound is less than or equal to the length whereas the upper bound is strictly greater than the length 10∙5 ≤ length < 11∙5
  • 9.
    Example A line ismeasured as 12∙7cm State the range of values within which its real length, in cm, must lie. Solution 12∙65 ≤ 12∙7 < 12∙75
  • 10.
    AA BB Area =cm2Area = cm2 Area = cm2Area = cm2 10 12
  • 11.
    CC DD Area = cm2Area= cm2 Area ≈ cm2Area ≈ cm2 12∙5 14∙5
  • 12.
  • 13.
    Unit 11 Units ofMeasurements You have finished viewing: Upper and Lower Bounds Return to front slide Presentation 1 Units and Measuring Presentation 2 Upper and Lower Bounds