Units Of Measurement And Applications Worksheet Page 13
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444
Convert 4.9 m to:
a
b
km
nm
5
Convert 2.4 g to:
a
b
Mg
μg
6
Convert 6.5 L to:
a
b
ML
mL
WORKED EXAMPLE 3
Convert the following.
a
b
3.56 Tg to Mg
9.4 mg to μg
Solve
Think
Apply
3.56 × 10
Convert 3.56 Tg into g and
Convert to grams and
12
__________
3.56 Tg =
a
Mg
6
10
divide by the number of grams
divide by the number of
= 3.56 × 10
6
or 3 560 000 Mg
in a megagram.
grams in the required unit.
9.4 × 10
−3
Convert 9.4 mg into g and
_________
9.4 mg =
b
μg
−6
10
divide by the number of grams
= 9.4 × 10
3
or 9400 μg
in microgram.
7
Convert the following.
a
b
c
d
7.2 Gm into Mg
2.9 cg into ng
8 Tm into km
4.3 cm into μm
e
f
g
h
8.8 TL into ML
9 kL into mL
5.3 ms into ns
1.2 μs into ns
Light travels approximately 9.46 × 10
8 a
15
m in a year. Express this in terametres.
b
Warragamba dam holds approximately 2 580 000 ML of water at full capacity. How many gigalitres is this?
c
The distance from Mars to the Sun is 0.228 Tm. Convert this distance to kilometres.
The mass of a hydrogen atom is 1.67 × 10
−24
d
g. What is the mass in nanograms of 1 million hydrogen atoms?
e
A computer can access its memory in 24 ns. Convert this to microseconds.
2E
Error in measurement
Error in measurement
When physically measuring a quantity there are several sources of possible error and uncertainty.
Object
• Errors occur if the zero on the scale of the measuring instrument does not coincide
with the end of the object or with the pointer on the measuring instrument.
0
1
2
3
• An error occurs if the end of the measuring instrument has been damaged.
Object
In this case start measuring from the 1, say, instead of 0.
1
2
3
• Parallax error occurs if your eye is not directly above the scale on the measuring
instrument.
• Calibration error can occur if the scale is not accurately marked on the measuring
Object
instrument.
0
1
2
3
• There is always an error due to the limit of reading the measuring instrument.
Repeating a measurement a number of times and averaging the values can reduce the eff ect of any errors.
Chapter 2
Units of measurement and applications
47
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