Mass is a measure of how much matter there is in an object. It is commonly measured in kilograms (kg) or grams (g).

Capacity is a measure of the amount that something can hold. It is commonly measured in litres (l) or millilitres (ml).

Converting units of mass and capacity

Maths

Multiplying and dividing a number by 10, 100 and 1,000

Multiplying and dividing a number by 10, 100 and 1,000 including bridging 1

Explain how to multiply and divide a number by 10, 100 and 1,000

Converting units of length

Multiply tenths by whole numbers

Multiply hundredths by whole numbers

Solve measures problems using knowledge of multiplying decimal fractions

The relationship between multiplying by 0.1 and dividing by 10

The relationship between multiplying by 0.01 and dividing by 100

Multiply 1-digit numbers by decimals

Multiply 1-digit numbers by decimal fractions using written methods

Predicting the size of a product

Divide decimal fractions by 1-digit numbers

Divide decimal fractions by 1-digit numbers using written methods

In this unit pupils will explain the effect of multiplying and dividing a number by 10, 100 and 1,000 and use their knowledge of multiplying decimal fractions by whole numbers to solve measures problems. In the future unit pupils will apply memorised unit conversions to convert between units of measure. They will solve measures problems involving different units including imperial units.

In the prior unit pupils calculated with decimal numbers using column addition and subtraction. In this unit pupils will explain the effect of multiplying and dividing a number by 10, 100 and 1,000 and use their knowledge of multiplying decimal fractions by whole numbers to solve measures problems.

In this unit pupils will explain the effect of multiplying and dividing a number by 10, 100 and 1,000 and use their knowledge of multiplying decimal fractions by whole numbers to solve measures problems.

Calculating with decimal fractions

Which of these is the correct conversion of 1.03 kg into g?

Which of these is the correct conversion of 302 ml into l?

Match the masses given in kg to their equivalent in g.

Starting with the smallest, put these capacities in order.

Sofia needs 8 kg of flour. She already has 4,350 g. How much more flour does she need? Give your answer in g. {{ }} g

Lucas and some of his friends drank water.  Lucas drank 0.15 l of water, Sofia drank 170 ml, Izzy drank 0.27 l and Andeep drank 1.9 l. How much water did they drink in total?  {{ }} ml

A capacity of 1,000 ml is equivalent to {{ }} l.

When we multiply 0.905 by 100, what is the new value of the digit 5?

The mass of a football is 0.43 kg and the mass of a rugby ball is 0.4 kg. What is their total mass? {{ }} kg

Sofia has a bottle filled to its 1,500 ml capacity. She drinks 800 ml over the course of the morning. What volume of liquid remains in the bottle? {{ }} ml

Converting units of mass and capacity

Lesson outcome