To convert means to change a value or expression from one form to another. In this context it means to change from one unit of measurement to another such as from cm to mm.

A decimetre is a metric unit of length, equal to one-tenth of a metre. Decimetre can be abbreviated to dm.

Converting units of length

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 mass and capacity

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 9,035 m into km?

True or false? A line measuring 104 mm is longer than a line measuring 11 cm.

Starting with the smallest, put these measurements in order.

The width of a rectangular lake is 700 m and the length is 0.91 km. What is the perimeter of the lake? Give your answer in kilometres. {{ }} km

When we multiply 0.72 by 100, what is the new value of the digit 7?

Match the expression to the correct product.

Lucas is thinking of a number. His number is one hundredth times the size of 4 What is his number?

What is the perimeter of a rectangular field of length 350 m and width 250 m? {{ }} m.

Converting units of length

Lesson outcome