Units of Measurement 1
Units and Measuring

Different units can be used to measure the same quantities. It is important to use sensible units. Some important units are listed below.

1 km = 1000 m
1 m = 100 cm
1 m = 1000 mm
1 cm = 10 mm

1 tonne = 1000 kg
1 kg = 1000 g

1 litre = 1000 ml
1 m3 = 1000 litres
1 cm3 = 1 ml

Worked Examples

1

What would be the best units to use when measuring,

(a)

the distance between London and Plymouth,

Show me Use km (or miles).
(b)

the width of a watchface,

Show me Use mm or cm.
(c)

the mass of a person,

Show me Use kg.
(d)

the mass of a letter,

Show me Use grams.
(e)

the mass of a lorry,

Show me Use tonnes.
(f)

the volume of medicine in a spoon,

Show me Use ml.
(g)

the volume of water in a swimming pool?

Show me Use m3.
2
(a)

How many mm are there in 3.72 m?

Show me
1 m = 1000 mm
So
3.72 m = 3.72 × 1000
= 3720mm
(b)

How many cm are there in 4.23 m?

Show me
1 m = 100 cm
So
4.23m = 4.23 × 100
= 423cm
(c)

How many m are there in 102.5 km?

Show me
1 km = 1000 m
So
102.5 km = 102.5 × 1000
= 102 500m
(d)

How many kg are there in 4.32 tonnes?

Show me
1 tonne = 1000 kg
So
4.32 km = 4.32 × 1000
= 4320 kg
3

What value does each arrow point to?

(a)

Show me Here the marks are 0.1 units apart.
So the arrow points to 12.6.
(b)

Show me Here the marks are 0.2 units apart.
So the arrow points to 11.8.
(c)

Show me Here the marks are 0.4 units apart.
So the arrow points to 6.8.

Exercises

Which units do you think would be the most suitable to use when measuring:

(a)
the distance between two towns,
(b)
the length of a sheet of paper,
(c)
the mass of a sheet of paper,
(d)
the mass of a sack of cement,
(e)
the volume of a water in a cup,
(f)
the volume of water in a large tank?
(a)
How many grams are there in 12.3 kg? g
(b)
How many mm are there in 4.7 m? mm
(c)
How many mm are there in 16.4 cm? mm
(d)
How many m are there in 3.4 km? m
(e)
How many cm are there in 3.7 m? cm
(f)
How many ml are there in 6 litres? ml

Complete the table below.

Length in mLength in cmLength in mm
4
311
1500
374
8.62

Read off the value shown by the arrow on each scale.

(a)
(b)
(c)
(d)
(e)
(f)
(g)
(h)
(i)
(j)
(k)
(l)
(m)

A jug contains 1 litre of water.

(a)

If 150 ml is poured out, how much water is left?

ml
(b)

A glass holds 200 ml of water. How many glasses could be filled from a full jug?

glasses

State whether the following lengths would be best measured to the nearest m, cm or mm.

(a)
Your height.
(b)
The length of a ship.
(c)
The height of a hill.
(d)
The thickness of a book.
(e)
The height of a building.
(f)
The length of a pencil.
(g)
The width of a nail.