Units Of Measurement Worksheets Page 4
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32Units of mass
The same method can be used to convert units of mass.
tonnes
There are three main units of mass: the gram (g),
× 1000
÷ 1000
kilogram (kg) and tonne (t).
kilograms
1000 grams = 1 kilogram
× 1000
÷ 1000
1000 kilograms = 1 tonne
grams
Remembering these conversions can be aided by a
fl ow chart.
WoRKEd ExaMPlE 2
Complete the following.
4000 g =
9750 kg =
3.2 kg =
0.65 t =
kg
t
g
kg
a
b
c
d
THINK
WRITE
4000 g = 4000 ÷ 1000 kg
a
a
To change grams to kilograms: divide by
= 4 kg
1000.
9750 kg = 9750 ÷ 1000 t
b
b
To change kilograms to tonnes: divide by
= 9.75 t
1000.
3.2 kg = 3.2 × 1000 g
c
c
To change kilograms to grams: multiply by
= 3200 g
1000.
0.65 t = 0.65 × 1000 kg
d
To change tonnes to kilograms: multiply by
d
= 650 kg
1000.
Units of capacity
Capacity is the measure of liquid volume. The
kilolitres
three common units used to measure capacity are:
× 1000
÷ 1000
millilitres (mL), litres (L) and kilolitres (kL).
litres
1000 millilitres = 1 litre
× 1000
÷ 1000
1000 litres = 1 kilolitre
millilitres
The fl ow chart for converting these units is similar to
that for mass.
WoRKEd ExaMPlE 3
Complete the following.
6000 mL =
2500 L =
0.8 L =
10.5 kL =
L
kL
mL
L
a
b
c
d
THINK
WRITE
6000 mL = 6000 ÷ 1000 L
a
a
To change millilitres to litres: divide by
= 6 L
1000.
2500 L = 2500 ÷ 1000 kL
b
b
To change litres to kilolitres: divide by 1000.
= 2.5 kL
0.8 L = 0.8 × 1000 mL
c
c
To change litres to millilitres: multiply by
= 800 mL
1000.
10.5 kL = 10.5 × 1000 L
d
To change kilolitres to litres: multiply by
d
= 10 500 L
1000.
48
Maths Quest General Maths Preliminary Course
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