# Multiplying Two-Digit Numbers by Two-Digit Numbers Using an Area Model—Let's Practise

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## Basics on the topicMultiplying Two-Digit Numbers by Two-Digit Numbers Using an Area Model—Let's Practise

In this video, practise multiplying 2 digit numbers by 2 digit numbers using the area model.

### TranscriptMultiplying Two-Digit Numbers by Two-Digit Numbers Using an Area Model—Let's Practise

Razzi says get these items ready because today we're going to practise multiplying two-digit numbers by two-digit numbers using an area model. It's time to begin! Use an area model to solve fifty-one times seventy-nine. Pause the video to work on the problem and press play when you are ready to see the solution! First, set up the area model by labelling the top and left side with each factor written in expanded form. Then multiply, fifty times seventy which equals three thousand five hundred, fifty times nine which equals four hundred and fifty, one times seventy which equals seventy, and one times nine which equals nine. Then, add the partial products. Did you also get four thousand and twenty-nine? Let's tackle the next problem! Use an area model to solve twenty-three times eighty-six. Pause the video to work on the problem and press play when you are ready to see the solution! First, set up the area model by labelling the top and left side with each factor written in expanded form. Then multiply, twenty times eighty which equals one thousand six hundred, twenty times six which equals one hundred and twenty, three times eighty which equals two hundred and forty, and three times six which equals eighteen. Then, add the partial products. Did you also get one thousand nine hundred and seventy-eight? Razzi had so much fun practising with you today! See you next time!

## Multiplying Two-Digit Numbers by Two-Digit Numbers Using an Area Model—Let's Practise exercise

Would you like to apply the knowledge you’ve learnt? You can review and practice it with the tasks for the video Multiplying Two-Digit Numbers by Two-Digit Numbers Using an Area Model—Let's Practise .
• ### Which option is the correct expanded form of 97?

Hints

Remember, expanded form will show each digit expanded into its actual value.

Look at this example of the number 23 written in expanded form.

Solution

The correct way to write the number 97 in expanded form is 90 + 7. To do that we separated the number into the tens digit and the ones digit.

• ### Solve 24 x 12.

Hints

Remember the steps to solve the problem.

1) Set up the area model by labelling the top and left side with each factor written in expanded form.

2) Multiply each square in the area model.

Here is the correct area model for this problem to help.

Solution

In this image, we see all of the multiplication problems done correctly. Then, once we add up all the answers (200 + 40 + 40 + 8), we get the correct answer.

• ### Solve 86 x 54.

Hints

Remember the steps to solve the problem.

1) Set up the area model by labelling the top and left side with each factor written in expanded form.

2) Multiply each square in the area model.

Here is the correct area model for this problem to help.

Solution

In this image, we see all of the multiplication problems done correctly. Then, once we add up all the partial products(4,000 + 300 + 320 + 24), we get the correct answer.

• ### Solve 79 x 67.

Hints

Remember the steps to solve the problem.

1) Set up the area model by labelling the top and left side with each factor written in expanded form.

2) Multiply each square in the area model.

Here is the correct area model for this problem.

Solution

Here we see all of the multiplication problems done correctly. Then, once we add up all the partial products (4,200 + 540 + 490 + 63), we get the correct answer.

• ### Solve 45 x 21.

Hints

Remember the steps to solve the problem.

1) Set up the area model by labelling the top and left side with each factor written in expanded form.

2) Multiply each square in the area model.

Your area model should look like the image.

Solution

In this image, we see all of the multiplication problems done correctly. Then, once we add up all the answers (800 + 100 + 40 + 5), we get the correct answer.

• ### What is 98 x 86?

Hints

Remember the steps to solve the problem.

1) Set up the area model by labelling the top and left side with each factor written in expanded form.

2) Multiply each square in the area model.