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Educora
AdvancedGrade 314 min10 / 12

Measuring: length, mass and capacity

Meet millimetres, centimetres, metres, kilometres, grams, kilograms and litres, and learn to change one unit into another.

Check yourself
In this lesson you will learn
  • Choose the right unit for length, mass and capacity
  • Convert units: 1 m = 100 cm, 1 km = 1000 m, 1 kg = 1000 g, 1 l = 1000 ml
  • Add and compare measurements in the same unit

How tall are you? How heavy is your school bag? How much water fits in a bottle? To answer these questions we measure: with a ruler, with scales and with a measuring jug.

Length

We measure short things in centimetres (cm): a school ruler is often 20 or 30 cm long. Tiny things are measured in millimetres (mm): an ant is only a few millimetres long. Longer things are measured in metres (m): a classroom door is about 2 m high. Long distances are measured in kilometres (km).

What we measureUnitsHow they are linked
Lengthmm, cm, m, km1 cm = 10 mm, 1 m = 100 cm, 1 km = 1000 m
Massg, kg1 kg = 1000 g
Capacityml, l1 l = 1000 ml
Height and a long jump

a) Leyla is 1 m 32 cm tall. How many centimetres is that?
b) Elvin jumped 245 cm in the long jump. Write this in metres and centimetres.

Show solution
a) 1 m = 100 cm, so 1 m 32 cm = 100 + 32 = 132 cm.
b) 245 cm = 200 cm + 45 cm = 2 m 45 cm.

Mass

How heavy something is, its mass, is measured with scales in grams (g) and kilograms (kg). A bag of sugar often weighs 1 kg, while one sugar cube weighs only a few grams.

At the market

At the market Grandma bought 2 kg of apples and 500 g of cherries. How many grams is that altogether?

Show solution
2 kg = 2000 g.
2000 g + 500 g = 2500 g, that is 2 kg 500 g.

Capacity

How much liquid fits into a container is measured in litres (l). Small amounts are measured in millilitres (ml): a teaspoon holds about 5 ml. 1 l = 1000 ml.

Filling a bucket

A bucket holds 10 l of water. How many times do you need to pour from a 2-litre jug to fill it?

Show solution
How many times does 2 l fit into 10 l? 10 ÷ 2 = 5.
You need to pour 5 times.
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Let's practise

Each sum is a measuring question: for example, 3 × 100 finds how many centimetres there are in 3 metres.

Convert the units
  1. 1.3 × 100 =
  2. 2.100 + 45 =
  3. 3.2 × 1000 =
  4. 4.1000 − 300 =
  5. 5.10 ÷ 2 =
  6. 6.5 × 10 =
  7. 7.1000 − 250 =
  8. 8.3 × 1000 =

Key points

  • Length: 1 cm = 10 mm, 1 m = 100 cm, 1 km = 1000 m.
  • Mass: 1 kg = 1000 g.
  • Capacity: 1 l = 1000 ml.
  • Kilo means a thousand, centi a hundredth and milli a thousandth.
  • Change to the same unit before adding or comparing.

Check yourself

10 questions. Every correct answer earns XP.

1 / 10
How many centimetres are there in 1 metre?