Division with Remainders (Area Models) — Let's Practise!
- What Is Division with Remainders Using Area Models?
- Solving Division Problems with Remainders Using Area Models – Example
- Understanding Division with Remainders Using Area Models – Guided Practice
- Using Division with Remainders Using Area Models – Application
- Solving Division Problems Using Area Models – Summary
- Solving Division Problems Using Area Models – Frequently Asked Questions
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Basics on the topic Division with Remainders (Area Models) — Let's Practise!
Understanding Division with Remainders Using Area Models – Introduction
We're diving into the world of division with remainders using area models. This method helps us to visualise division and understand how remainders work. Get ready because today, we're going to practise this together!
What Is Division with Remainders Using Area Models?
Division with remainders using area models involves breaking down a division problem into smaller, more manageable parts and using an area model to visualise the process. This method helps us see how the numbers are divided and where the remainder comes from.
Here are the steps to tackle division with remainders using area models:
| Step # | Action |
|---|---|
| 1 | Identify the total number to be divided. |
| 2 | Use multiplication to create sections with an area model. |
| 3 | Subtract each section from the total number. |
| 4 | Continue until the remainder is less than the divisor. |
| 5 | Combine the results to find the quotient and the remainder. |
| 6 | Check your answer to ensure it makes sense with the problem. |
Let's practise understanding this method with a few examples.
Solving Division Problems with Remainders Using Area Models – Example
Example 1:
Problem: Use an area model to solve $86 ÷ 7$ .
Steps to Solve the Problem:
| Step # | Action | Description |
|---|---|---|
| 1 | Identify the total number to be divided. | 86 |
| 2 | Multiply $7 × 10$ . | 70 |
| 3 | Subtract 70 from 86. | 86 - 70 = 16 |
| 4 | Carry the 16 over. | 16 |
| 5 | Multiply $7 × 2$ . | 14 |
| 6 | Subtract 14 from 16. | 16 - 14 = 2 |
| 7 | The remainder is 2. | 2 |
| 8 | Add the results. | 10 + 2 = 12 |
Solution: The quotient is 12 remainder 2.
Example 2:
Problem: Use an area model to solve $527 ÷ 4$ .
Steps to Solve the Problem:
| Step # | Action | Description |
|---|---|---|
| 1 | Identify the total number to be divided. | 527 |
| 2 | Multiply $4 × 100$ . | 400 |
| 3 | Subtract 400 from 527. | 527 - 400 = 127 |
| 4 | Carry the 127 over. | 127 |
| 5 | Multiply $4 × 30$ . | 120 |
| 6 | Subtract 120 from 127. | 127 - 120 = 7 |
| 7 | Carry the 7 over. | 7 |
| 8 | Multiply $4 × 1$ . | 4 |
| 9 | Subtract 4 from 7. | 7 - 4 = 3 |
| 10 | The remainder is 3. | 3 |
| 11 | Add the results. | 100 + 30 + 1 = 131 |
Solution: The quotient is 131 remainder 3.
Understanding Division with Remainders Using Area Models – Guided Practice
Take a look at this problem: Use an area model to solve $68 ÷ 5$ .
In number sentence form: 68 ÷ 5 = 13 r3
Using Division with Remainders Using Area Models – Application
Now it's your turn. Solve these problems on your own.
Use an area model to solve $93 ÷ 6$ .
In number sentence form: 93 ÷ 6 = 15 r3
Solving Division Problems Using Area Models – Summary
Key Learnings from this Text:
- Solving problems using an area model can be achieved by following these steps:
| Step # | Action |
|---|---|
| 1 | Identify the total number to be divided. |
| 2 | Use multiplication to create sections of the area model. |
| 3 | Subtract each section from the total number. |
| 4 | Continue until the remainder is less than the divisor. |
| 5 | Combine the results to find the quotient and remainder. |
| 6 | Check your answer to ensure it makes sense with the problem. |
- Mastering the use of an area model for division with remainders is an important foundational maths skill.
Keep practising these steps, and you'll become a pro at using an area model to divide numbers with remainders! Check out more fun maths challenges and exercises on our website to continue sharpening your skills.
Solving Division Problems Using Area Models – Frequently Asked Questions
Transcript Division with Remainders (Area Models) — Let's Practise!
Razzi says get these items ready because today we're going to practice Division with Remainders (Area Models). It's time to begin! Use an area model to solve eighty-six divided by seven. Pause the video to work on the problem and press play when you are ready to see the solution! Seven times ten equals seventy. Eighty-six minus seventy is sixteen. Carry the sixteen over. Seven times two equals fourteen. Sixteen minus fourteen is two, which is the remainder. Ten plus two equals twelve. Add the remainder, two. Did you also get twelve remainder two? Let's tackle one more problem! Use an area model to solve five hundred and twenty-seven divided by four. Pause the video to work on the problem and press play when you are ready to see the solution! Four times one hundred equals four hundred. Five hundred and twenty-seven minus four hundred is one hundred and twenty-seven. Carry the one hundred and twenty-seven over. Four times thirty equals one hundred and twenty. One hundred and twenty-seven minus one hundred and twenty is seven. Carry the seven over. Four times one equals four. Seven minus four is three, which is the remainder. One hundred plus thirty plus one is one hundred and thirty-one. Add the remainder, three. Did you also get one hundred and thirty-one remainder three? Razzi had so much fun practicing with you today! See you next time!
