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How can we multiply two 2-digit numbers using an area model?

This method uses a powerful image to help us understand what happens when we start to do multiplications involving larger numbers.It uses the fact that the area of a rectangle is equal to the length multiplied by the width.Let’s start by using this method to multiply two 2 digit number together.

So, we are breaking one ‘tough’ calculation, i.e. 16 x 14, into four simpler calculations that we already know how to work out.

The answers to these four simple calculations can all be combined to give the answer to one (tough) question.

16 x 14 = (10 x 10) + (10 x 6) + (4 x 10) + (4 x 6)
= 100 + 60 + 40 + 24
= 224

Step 1

When setting out your multiplication as an area model, draw a grid and partition each number into its tens and ones.

Step 2

Start by multiplying the tens from each number together, and then multiply the tens from each number by the ones, so that all four sections of the grid are completed.

Step 3

Add the four numbers from inside the grid together to complete your multiplication.

Calculate 38 x 44.

Remember: You could use counters or base 10 equipment to represent the numbers. Don't worry if you haven't got these at home - you could draw your own!