A unit fraction is any fraction with a numerator of one.

The relationship between multiplying by 0.1 and dividing by 10

Maths

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.

Calculating with decimal fractions

The mass of an apple is 210 g. Lucas eats one-tenth of the apple. What is the mass of the apple he has eaten? {{ }} g

Lucas measures the length of a stick to be 18 cm. The length of a twig is one-tenth times this. What is the length of the twig in cm? {{ }} cm

There are {{ }} millimetres in one centimetre.

If 3,490 is divided by 10, which digit would be in the ones place after the division?

Lucas has 350 marbles. He packs them equally into ten bags. How many marbles are in each bag? {{ }} marbles.

Sofia has 54 cm of ribbon. She cuts it into 10 equal pieces. What is the length of each piece? {{ }} cm

This lesson will be removed by end of Summer Term 2025.

The relationship between multiplying by 0.1 and dividing by 10

Lesson outcome

This lesson will be removed by end of Summer Term 2025.