Try sofatutor for 30 Days

Discover why over 1.6 MILLION pupils choose sofatutor!

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

play video
Do you want to learn faster and more easily?

Then why not use our learning videos, and practice for school with learning games.

Try for 30 Days
Rating

Give us a rating!
The authors
Avatar
Team Digital

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

Understanding Multiplying Two-Digit Numbers by Two-Digit Numbers Using an Area Model – Introduction

We're diving into the world of multiplying two-digit numbers by two-digit numbers using area models. This method helps us visualise multiplication and break it down into simpler steps. Get ready because we're going to practise this together!

What Is Multiplying Two-Digit Numbers by Two-Digit Numbers Using an Area Model?

Multiplying two-digit numbers by two-digit numbers using area models involves breaking down the multiplication problem into smaller, more manageable parts and using an area model to visualise the process. This method helps us see how the numbers are multiplied and combined.

Here are the steps to tackle multiplication using an area model:

Step # Action
1 Set up the area model by labelling the top and left side with each factor written in expanded form.
2 Multiply each part separately.
3 Add the partial products together.
4 Check your answer to ensure it makes sense with the problem.

Let's practise understanding this method with a few examples.

Solving Multiplication Problems Using an Area Model – Examples

Example 1:

Problem: Use an area model to solve 51×79 51 × 79 .

Steps to Solve the Problem:

Step # Action Description
1 Set up the area model by labelling the top and left side with each factor written in expanded form. 50 + 1 and 70 + 9
2 Multiply 50×70 50 × 70 . 3,500
3 Multiply 50×9 50 × 9 . 450
4 Multiply 1×70 1 × 70 . 70
5 Multiply 1×9 1 × 9 . 9
6 Add the partial products. 3,500 + 450 + 70 + 9
7 Combine the results. 4,029

Solution: The product is 4,029.

26251SEO1.png

Example 2:

Problem: Use an area model to solve 23×86 23 × 86 .

Steps to Solve the Problem:

Step # Action Description
1 Set up the area model by labelling the top and left side with each factor written in expanded form. 20 + 3 and 80 + 6
2 Multiply 20×80 20 × 80 . 1,600
3 Multiply 20×6 20 × 6 . 120
4 Multiply 3×80 3 × 80 . 240
5 Multiply 3×6 3 × 6 . 18
6 Add the partial products. 1,600 + 120 + 240 + 18
7 Combine the results. 1,978

Solution: The product is 1,978.

26251SEO2.png

Understanding Multiplying Two-Digit Numbers by Two-Digit Numbers Using an Area Model – Guided Practice

Take a look at these numbers: Use an area model to solve 34×52 34 × 52 .

In number sentence form: 34 × 52 = 1,768

Using Multiplying Two-Digit Numbers by Two-Digit Numbers Using an Area Model – Application

Now it's your turn. Solve these problems on your own.

Use an area model to solve 45×67 45 × 67 .

In number sentence form: 45 × 67 = 3,015

Solving Multiplication Problems Using an Area Model – Summary

Key Learnings from this Text:

  • Solving problems using an area model can be achieved by following these steps:
Step # Action
1 Set up the area model by labelling the top and left side with each factor written in expanded form.
2 Multiply each part separately.
3 Add the partial products together.
4 Check your answer to ensure it makes sense with the problem.
  • Mastering the use of an area model for multiplying two-digit numbers is an important foundational maths skill.

Keep practising these steps, and you'll become a pro at using an area model to multiply two-digit numbers! Check out more fun maths challenges and exercises on our website to continue sharpening your skills.

Solving Multiplication Problems Using an Area Model – Frequently Asked Questions

Transcript Multiplying 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 .