One-thousandth is one part in one thousand equal parts.

If something is equivalent, it has the same value. For example, £1 is equivalent to 100 p - they have the same value.

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

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

One-tenth is one part in ten equal parts.

One-hundredth is one part in one hundred equal parts.

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

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

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

Multiply tenths by whole numbers

One hundredth is one part in one hundred equal parts.

Multiply hundredths by whole numbers

When we convert, we  change a value or expression from one form to another.

Solve measures problems using knowledge of multiplying decimal fractions

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

The relationship between multiplying by 0.1 and dividing by 10

A hundredth is one part in 100 equal parts.

The relationship between multiplying by 0.01 and dividing by 100

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

When we estimate, we find a value that is close enough to the right answer, usually with some thought or calculation involved.

Scaling is when a given quantity is made ___ times the size. It can be used to adjust the size of a factor. In this lesson, scaling will involve making values 10 or 100 times the size.

Multiply 1-digit numbers by decimal fractions using written methods

The product is the result of two or more numbers multiplied together.

Factors are integers that are multiplied together to get a product.

Predicting the size of a product

An integer is a whole number with no fractional part e.g. 0, 1, 14, 103  Decimal numbers such as 3.4 are not integers.

Calculating with decimal fractions

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These lessons will be removed by end of Summer Term 2025.