Solving Equations with Multiplication and Division—Let's Practice!
- Understanding Solving Equations with Multiplication and Division – Introduction
- What Is Solving Equations with Multiplication and Division?
- Solving Equations with Multiplication and Division – Examples
- Understanding Solving Equations with Multiplication and Division – Guided Practice
- Using Solving Equations with Multiplication and Division – Application
- Solving Equations with Multiplication and Division – Summary
- Solving Equations with Multiplication and Division – Frequently Asked Questions
Basics on the topic Solving Equations with Multiplication and Division—Let's Practice!
Understanding Solving Equations with Multiplication and Division – Introduction
We're diving into the world of solving equations with multiplication and division. These skills are essential for solving real-world problems. Get ready because today, we're going to practice this together!
What Is Solving Equations with Multiplication and Division?
Solving equations with multiplication and division involves writing an equation based on a word problem and then solving it step-by-step. This method helps us understand how to represent real-life situations mathematically.
Here are the steps to tackle solving equations with multiplication and division:
| Step # | Action |
|---|---|
| 1 | Read the word problem carefully. |
| 2 | Identify the numbers and what they represent. |
| 3 | Write an equation using multiplication or division. |
| 4 | Solve the equation. |
| 5 | Check your answer to ensure it makes sense with the problem. |
Let's practice understanding this method with a few examples.
Solving Equations with Multiplication and Division – Examples
Example 1:
Problem: Kiara's class is having a pizza party. There are eight pizzas and each pizza has six slices. How many slices are there in all?
Steps to Solve the Problem:
| Step # | Action | Description |
|---|---|---|
| 1 | Read the problem carefully. | Kiara's class has eight pizzas. |
| 2 | Identify the numbers and their meaning. | Each pizza has six slices. |
| 3 | Write the equation. | $8 × 6 = P$ P represents slices |
| 4 | Solve the equation. | $8 × 6 = 48$ |
| 5 | Check the answer. | There are 48 slices in all. |
Solution: The total number of slices is 48.
Example 2:
Problem: Javier invited thirty-five friends to his birthday party and each table can fit seven seats. How many tables does Javier need?
Steps to Solve the Problem:
| Step # | Action | Description |
|---|---|---|
| 1 | Read the problem carefully. | Javier has thirty-five friends. |
| 2 | Identify the numbers and their meaning. | Each table fits seven seats. |
| 3 | Write the equation. | $35 ÷ 7 = T$ T represents tables |
| 4 | Solve the equation. | $35 ÷ 7 = 5$ |
| 5 | Check the answer. | Javier needs 5 tables. |
Solution: Javier needs 5 tables.
Understanding Solving Equations with Multiplication and Division – Guided Practice
Take a look at these numbers: Solve the word problem by writing an equation. Rosa has twelve points in her game. She played again and tripled her score. How many points does Rosa have now?
In number sentence form: 12 × 3 = 36
Using Solving Equations with Multiplication and Division – Application
Now it's your turn. Solve these problems on your own.
Solve the word problem by writing an equation. There are 56 apples, and each basket can hold 8 apples. How many baskets are needed?
In number sentence form: 56 ÷ 8 = 7
Solving Equations with Multiplication and Division – Summary
Key Learnings from this Text:
- Solving problems using multiplication and division can be achieved by following these steps:
| Step # | Action |
|---|---|
| 1 | Read the word problem carefully. |
| 2 | Identify the numbers and what they represent. |
| 3 | Write an equation using multiplication or division. |
| 4 | Solve the equation. |
| 5 | Check your answer to ensure it makes sense with the problem. |
- Mastering the use of multiplication and division in word problems is an important foundational math skill.
Keep practicing these steps, and you'll become a pro at solving equations with multiplication and division! Check out more fun math challenges and exercises on our website to continue sharpening your skills.
Solving Equations with Multiplication and Division – Frequently Asked Questions
Transcript Solving Equations with Multiplication and Division—Let's Practice!
Razzi says get these items ready (...) Because today we're going to practice... Solving Equations with Multiplication and Division. It's time to begin! Solve the word problem by writing an equation. Kiara's class is having a pizza party. There are eight pizzas and each pizza has six slices. How many slices are there in all? Pause the video to work on the problem (...) and press play when you are ready to see the solution! Eight times (...) six equals (...)
to represent the pizza. Then solve eight times six. Did you also get forty-eight slices of pizza? Let's tackle the next problem! Solve the word problem by writing an equation. Javier invited thirty-five friends to his birthday party and each table can fit seven seats. How many tables does Javier need? Pause the video to work on the problem (...) and press play when you are ready to see the solution! Thirty-five divided by (...) seven equals (...)
to represent the points. Then solve twelve times three. Did you also get thirty-six points? Razzi had so much fun practicing with you today! See you next time!
Solving Equations with Multiplication and Division—Let's Practice! exercise
-
Determine if a problem is multiplication or division.
HintsSplitting up a total equally is dividing. Adding the same amount multiple times is multiplication.
The word each is often a signal word for division word problems.
Making or producing something is often a signal word for multiplication word problems.
Solution- The equation for word problem 1 should read 12 ÷ 3. This uses division.
- The equation for word problem 2 should read 40 ÷ 10. This uses division.
- The equation for word problem 3 should read 5 x 5. This uses multiplication.
- The equation for word problem 4 should read 5 x 4. This uses multiplication.
-
Find the equation and solution.
HintsSplitting up a total equally is dividing. Adding the same amount multiple times is multiplication.
The words double, triple, quadruple or times are often signal words for multiplication word problems.
Double means to multiply by 2 or add a number 2 times.
Solution- Zuri scored 5 goals in the first game. In the second game she doubled her score.
- When you double something, it means to multiply by 2.
- The equation is 2 x 5 = 10. Zuri scored 10 goals her second game!
-
Find the equation and solution.
HintsStart by finding the total, then find the number you need to divide by.
There are 35 guests in total and you're dividing the guests into tables that seat 5.
The below image illustrates 35 people sitting 5 people to one table.
SolutionThe image above illustrates the word problem.
Donna will need 7 tables. If there are 35 guest in total, and each table can sit 5 people, then the equation and solution is 35 ÷ 5 = 7.
-
Matching word problems and equations.
HintsSplitting up a total equally is dividing. Adding the same amount multiple times is multiplication.
The word each is often a signal word for division word problems.
The phrase all together is often a signal for multiplication word problems.
Solution- 12 ÷ 2 = 6 housekeepers to clean each floor.
- 4 x 2 = 8 dollars for the wrapping paper.
- 16 ÷ 4 = 4 guest rooms for Eric's family.
- 4 x 3 = 12 firefighters in total.
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Find the equation and solution.
HintsSplitting up a total equally is dividing. Adding the same amount multiple times is multiplication.
The words in all are often signal words for multiplication word problems.
Can you count the pieces of pizza to help you solve the problem?
SolutionThe image above illustrates the word problem.
If there are 5 pizzas and each pizza has 6 slices, then the equation and solution is 5 x 6 = 30.
-
Write and solve the equation.
HintsSplitting up a total equally is dividing. Adding the same amount multiple times is multiplication.
The word each is often a signal word for division word problems.
Start with the total, then find the number you need to divide by.
There are 48 eggs in total and you're dividing the eggs into cartons that hold 6 eggs each.
The below image illustrates the word problem. Can you count how many containers there are?
SolutionThe image above illustrates the word problem.
Malinda's family needs 8 egg containers. If there are 48 eggs in total, and each container can hold 6 eggs, then the equation and solution is 48 ÷ 6 = 8.
