Treating groups that contain the same number of things as ‘ones’ or ‘units’. It is important particularly in handling money and in understanding place value and supports us to think multiplicatively.

The distributive law says that multiplying a number by a group of numbers added together is the same as doing each multiplication separately.

Multiply 1-digit numbers by decimals

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

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 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

If 9 × 14 = 126, what does 9 × 1.4 equal?

Use unitising and known facts to match the equation to its product.

Plums cost £2.35 per kilogram. Sofia buys 4 kilograms of strawberries. How much does she spend? £{{ }}

Sofia buys eight stickers. They cost £0.52 each. How much do they cost altogether? £{{ }}

Count up in 25s. What would come next? 25, 50, {{ }}

Lucas has 1.8 kg flour. Sofia has one-tenth times this amount. How much flour does Sofia have? {{ }} kg

Sofia’s flower is 87 cm tall. Lucas’ has only grown to one-hundredth times this height. How tall is Lucas’ flower? {{ }} cm

Exit Quiz

If 9 × 14 = 126, what does 9 × 1.4 equal?