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What is subtraction on a number line?

Jump strategy
Also known as the jump strategy or complementary addition, subtraction on a number line is a common technique in KS1 and KS2 maths, useful for helping children visualise that subtraction is finding the difference between two numbers. Teacher Alice Hart explains the method and how it's taught in primary school maths.

When teaching subtraction, teachers will sometimes use a method called 'complementary addition' that involves putting the smaller number at the start of a number line and then jumping up to the bigger number (another name for the method is the 'jump strategy').

This makes the concept of subtraction being about finding the difference between two numbers very clear.

How to use the jump strategy for subtraction

Teachers vary on how they make the 'jumps' from one number to another on a number line. Here are two different ways it can be done:

Complementary addition can also be used for subtracting a three- or two-digit number from a three-digit number:

Or for subtracting amounts of money:

Complementary addition is often taught in Year 3 to make it clear to children that subtraction is about finding the difference between two numbers. It also helps them to learn to subtract mentally as it makes very clear how many tens and units need to be 'jumped' to get from one number to another.

Once children have understood this concept, they often move onto column method for subtraction. This is a quicker method, but only involves children having to subtract units (not hundreds or thousands), which is why it is important to have practised a more expanded method (like the partitioning method, for example) first.

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