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Measurement 2

WALT: Convert between metric units

Length�

Mass (weight)�

Capacity (liquid volume)

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Metric Conversion - LENGTH

Metric relationship

The base unit for length is a metre.

1 kilometre (km) = 1000 metres (m)

1 metre (m) = 100 centimetres (cm)

1 centimetre (cm) = 10 millimetre (mm)

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Metric Conversion - MASS (Weight)

Metric relationship

The base unit for mass is a gram.

1 tonne (t) = 1000 kilograms (kg)

1 kilogram (kg) = 1000 grams (g)

1 gram (g) = 10 milligrams (mg)

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Metric Conversion - CAPACITY (Liquid Volume)

Metric relationship

The base unit for capacity is a litre.

1 litre (L or l ) = 1000 millilitres (ml )

1 millilitre (ml ) = 1/1000 litre (L or l )

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Converting Larger to Smaller Units

CAPACITY��2000 ml to L� 2000 ml = (2000 ÷ 1000)� = 2 L

a

5000 ml

=

_____ L

b

3000 ml

=

_____ L

c

12 000 ml

=

_____ L

d

35 000 ml

=

_____ L

e

106 000 ml

=

_____ L

Mr Jacobsen needs to decide how much paint he will need to paint the Green Room

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Converting Larger to Smaller Units

MASS

12 600 g to kilogram� 12 600 g = 12 600 ÷ 1000 grams

= 12.6 kg

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a

3700 g

=

_____ kg

b

5100 g

=

_____ kg

c

2750 g

=

_____ kg

d

700 g

=

_____ kg

e

520 g

=

_____ kg

Ms Heka is ordering flour for her next Tech class. Help her convert her list of measurements into kg.

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Converting Larger to Smaller Units

LENGTH

Convert 3500 mm to m

3500 mm = 3500 ÷ 1000 m

= 3500 ÷ (10 ÷ 10 ÷ 10 = 3.5 m

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a

2700 mm

=

_____ m

b

4600 mm

=

_____ m

c

8900 mm

=

_____ m

d

13 500 mm

=

_____ m

e

63 200 mm

=

_____ m

Valessa is buying material to make cushion covers at Tech. Help her to convert all of these different lengths of fabric

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Activity 1

  • Mr Grundy’s tech group were practising finding lengths in Hard Materials. They need all the measurements in cm. Convert all of their measurements to cm.
    • 3 m = ____ cm
    • 20 mm = ____ cm
    • 170 mm = ____ cm
    • 2 m = ____ cm
    • 2300 mm = ____ cm�
  • Bunnings has decided to convert all the masses of its large timber items to kg. Convert these to kg.
    • 2 t = ____kg
    • 3000 g = ____kg
    • 5 t = ____kg
    • 14 000 g = ____kg
    • 11 t = ____kg�

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Activity 2

Which measurement is larger? By how much?

  • 3 m or 310cm? 310cm is larger; 3m = 300 cm so 310 cm is larger by 10cm
  • 500 mm or 5m? Your answer
  • 7000 ml or 6 L? Your answer
  • 25 cm or 250 mm? Your answer
  • 3500 g or 4 kg? Your answer
  • 800 mm or 0.8 m? Your answer
  • 0.7 L or 750 ml ? Your answer
  • 5270 g or 5.7 kg? Your answer
  • 45 000 mm or 0.5 km? Your answer

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It is easier to compare measurements which are in the same units.