# Multiplication as Comparison

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Our premium worksheet bundles contain 10 activities and answer key to challenge your students and help them understand each and every topic within their grade level. This lesson will help students to see multiplication as more than just an operation to be carried out or to be memorized. It will show how the two factors and their product can be read as a comparison.

Work through the examples and explanations in this lesson with your children and then try the worksheet that you will find at the bottom of this page.

When you multiply, you are often making a comparison between two numbers.

In the equation  7 x 5 = 35, the answer 35 is 5 times as many as 7.  It is also 7 times as many as 5.

Let’s use drawings to help us see this relationship a little more clearly.

Any two factors and their product can be read as a comparison. Let's look at another multiplication equation:
3 x 2= 6.

6 is 3 times as many as 2, and 2 times as many as 3.

Again, it's helpful to see this relationship visually by comparing tiles. See below

6 is 3 times as many as 2: 6 is 2 times as many as 3: Discuss with your child how the equal sign is like a balance symbol. Both sides of the equal sign total the same value. When you see an equal sign, you should think "is the same as" instead of "put the answer here".

Although we are used to seeing equations that look like a "problem" followed by an "answer", for example: 4 x 5 = 20 it is just as correct to say that 20 = 4 x 5 or 20 = 5 x 4.

## More Multiplication as Comparison

20 = 4 x 5 Think "20 is the same as 4 sets of 5".
20 = 5 x 4 Think "20 is the same as 5 sets of 4".

Try to work out what the missing numbers are below (after you have tried you can click on the spaces to see the answers)

## Multiplication as Comparison : Recap

Look at the eight multiplications below. Think, or better still, say out loud, the relationship between the numbers. Click the spaces as you work to check each one as you go.

## Multiplicative Comparison Worksheets

Click the link below and get your child to try the worksheet that will allow for practice with multiplicative comparison questions.