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## Solving Two-Step Multiplication Word Problems

The easiest way to solve these problems is visually with bar charts to aid the student.

Let’s start with an example that involved a multiplication step and a subtraction step.

In this example, the multiplication step comes first and the subtraction step second.

Now we can see how many more candies she has than lollipops. It’s this part:

She has 35 candies and 7 lollipops. So she has 35 – 7 = 28 more candies than lollipops.

Here’s an example of multiplication as a first step and addition as a second step.

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## Multi-step Multiplication of Two-digit Numbers

## Table of Contents

## What are Multi-step Problems?

Solving a multi-step multiplication problem, solved examples.

Here is an example of a single step multiplication problem:

We can find the solution to this problem in a single multiplication step.

Here is an example of a multi-step multiplication problem:

Step 1: Understand the problem.

The problem is solved in multiple steps.

Let’s solve the problem mentioned above using this strategy.

Weight of all the notebooks in the classroom

Example 1: Which expression can be used to solve the following problem?

Points scored by Team A = 5\(\times\) 2

Points scored by Team B = 5\(\times\) 3

So, the correct expression is (5\(\times\) 2) + (5\(\times\) 3)

## What should be the approach to solve a multi-step word problem?

## Why do we need to be more careful while solving multi-step problems?

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## Long Multiplication Calculator

## Calculator Use

## How To Do Long Multiplication

- Arrange the numbers one on top of the other and line up the place values in columns. The number with the most digits is usually placed on top as the multiplicand.
- Starting with the ones digit of the bottom number, the multiplier, multiply it by the last digit in the top number
- Write the answer below the equals line
- If that answer is greater than nine, write the ones place as the answer and carry the tens digit
- Proceed right to left. Multiply the ones digit of the bottom number to the next digit to the left in the top number. If you carried a digit, add it to the result and write the answer below the equals line. If you need to carry again, do so.
- When you've multiplied the ones digit by every digit in the top number, move to the tens digit in the bottom number.
- Multiply as above, but this time write your answers in a new row, shifted one digit place to the left.
- When you finish multiplying, draw another answer line below your last row of answer numbers.
- Use long addition to add your number columns from right to left, carrying as you normally do for long addition.

## Long Multiplication with Decimals

- Count the total number of decimal places contained in both the multiplicand and the multiplier.
- Ignore the decimals and right align the numbers one on top of the other as if they were integers
- Multiply the numbers using long multiplication.
- Insert a decimal point in the product so it has the same number of decimal places equal to the total from step 1.

## Example Long Multiplication with Decimals

There's 3 total decimal places in both numbers.

Ignore the decimal places and complete the multiplication as if operating on two integers.

Rewrite the product with 3 total decimal places.

Therefore: 45.2 × 0.21 = 9.492

## Long Multiplication with Negative Numbers

- If one number is positive and one number is negative make the product negative.
- If both numbers are negative or both numbers are positive make the product positive.

## Long Multiplication Example: Multiply 234 by 56

Once you add the columns you can see the long multiplication result: 234 × 56 = 13104.

## Related Calculators

Math is Fun shows examples of Long Multiplication in an animated video.

Cite this content, page or calculator as:

## Solving Multi-Step Equations: Explanations, Review, and Examples

Return to the Table of Contents

## What is a multi-step equation?

So get your mathematical toolbox out! You never know what you might see in a multi-step equation!

## Examples of multi-step equations

Here are some examples of multi-step equations:

## How to solve multi-step equations

## Order of Operations

Here is an example of a multi-step equation with variables on both sides:

Solve for x in the following equation:

Now we are back to a basic two-step equation.

To check you answer, you can simplify substitute 3 into the variable to see if the equation is true:

Thus, x = 3 is the correct solution.

Below is a short video from Mike DeVor showing more examples of solving multi-step equations:

## Multi-step equations with fractions

Solve for y in the following equation:

To check your answer, you can substitute 9 into the variable to see if the equation is true:

Therefore, y = 9 is the correct solution.

## Multi-step equations with distributive property

Solve for z in the following equation:

To check you answer, you can substitute 3 into the variable to see if the equation is true:

Thus, z = 3 is the correct solution.

Solve for m in the following equation:

Thus, m = -9 is the correct solution.

## Multi-step equation word problems

First, let’s create an equation for the situation:

Therefore, the breakeven point for Distributor A and Distributor B would be 15 pounds.

First, let’s set up an equation that models the situation:

Now, simply solve for c like any other multi-step equation:

Therefore, each book cost \$20 before the coupon was applied.

## Keys to Remember: Solving Multi-Step Equations

- A multi-step equation is an equation that requires two or more steps to solve.
- When solving: remember whatever you do to one side, you must do to the other.
- To solve multi-step equations with fractions, you can multiply each term by the least common denominator to eliminate the fractions first.
- To check the solution, simply substitute the value into the variable to see if the equation is true.
- You can model real-life situations with an equation and solve for a correct solution.

## Read these other helpful posts:

- Solving One-Step Equations
- Solving Two-Step Equations
- Forms of Linear Equations
- View ALL Algebra 1 Review Guides

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## Unit 8: Lesson 3

## 2-step word problem: truffles

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Using multiplication, solving two-step equations.

Solve two-step equations using division

## Solving one step equations answers

## Solving One

Word questions can be tricky, but there are some helpful tips you can follow to solve them.

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## How to divide decimal division

## How to Divide a Decimal by a Decimal

## Dividing Decimals

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## How To Divide Decimals? Method, Examples, Facts

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## Division Word Problems (2-step word problems)

Block diagrams are used in Singapore Math and tape diagrams are used in the Common Core Math.

Solution: Step 1: Find how many marbles he had left.

700 – 175 = 525 He had 525 marbles left.

Step 2: Find the number of marbles in each box.

525 ÷ 5 = 105 There were 105 marbles in each box.

Solution: Step 1: Find the number of boxes of donuts.

364 ÷ 8 = 45 remainder 4 There were 45 boxes of donuts. 4 donuts were left over.

Step 2: Find how much money she would receive.

45 × 3 = 135 She would receive $135.

How to solve a 2-step division word problem using multiple tape diagrams?

How to solve division word problems using the Algebra method and the Singapore Math method?

How to solve a division and fraction word problem visually?

- Show units by dividing one long unit bar into its parts.
- If the question asks for the value of one of the parts of a unit bar, write your question mark right inside that section of the unit bar.
- 28 playing cards are arranged equally in 4 rows. How many playing cards are there in each row?
- If 18 cookies are arranged equally in 6 piles. How many cookies are there in each pile?
- A woman divided her lottery winnings of $92,000 into 8 equal parts. She gave 4 portions to her husband, 1 portion to her daughter, and divided the rest equally among three charities. How much more money did the husband receive than the daughter?
- Tralise has a library that she does not want to keep because she prefers digital books, so she divided to give her books away. She divided her collection of 1200 books into 10 equal parts. She gave 3 portions to her sister, 4 portions to her best friend, and the rest equally to three nieces. How many books did her best friend receive?
- Oscar had 3 times as many cookies as Zoe. After Oscar ate 50 cookies, he had half as many cookies as Zoe. How many cookies did Oscar have left?

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## How to Do Long Multiplication

Last Updated: February 17, 2023 References

## Doing Standard Long Multiplication

- You will essentially begin by multiplying the 2 in 32 by each of the numbers in 756, and then multiplying the 3 in 32 by each of the numbers in 756. But let's not get ahead of ourselves.
- The "bigger" number means the one with the most digits (numbers).

## Taking a Shortcut

## Practice Problems and Answers

## Community Q&A

- Practice on short, easy numbers first. ⧼thumbs_response⧽ Helpful 0 Not Helpful 0
- Make sure you get your numbers in the right columns! ⧼thumbs_response⧽ Helpful 0 Not Helpful 0
- Don't forget to carry your tens along, or else it'll all mess up. ⧼thumbs_response⧽ Helpful 0 Not Helpful 0

## You Might Also Like

- ↑ https://www.theschoolrun.com/what-is-long-multiplication
- ↑ https://www.ducksters.com/kidsmath/long_multiplication.php
- ↑ https://www.mathsisfun.com/numbers/multiplication-long.html
- ↑ http://mathworld.wolfram.com/LongMultiplication.html
- ↑ https://www.homeschoolmath.net/teaching/md/multiplication_algorithm.php
- ↑ https://www.businessinsider.com/common-core-multiplication-method-2014-6
- ↑ https://www.theschoolrun.com/what-is-the-grid-method
- ↑ https://mhorley.wordpress.com/2016/03/03/box-method-for-multiplication-why-do-we-teach-it/

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Most two-step word problems that involve multiplication have a multiplication step and an addition or subtraction step. The easiest way to solve these problems is visually with bar charts to aid the student. Let's start with an example that involved a multiplication step and a subtraction step.

This lesson uses multisteps (more than one step) to solve multiplication problems, using the "Draw a Diagram" strategy.

You can solve a two step equation while keeping the variable on the right side. As long as you isolate it, you'll still get the same answer. Let's take the problem, 11 = 3 - 7x. To solve it, your first step will be to combine the constants by subtracting 3 from both sides of the equation.

2-step word problems CCSS.Math: 3.OA.D.8 Google Classroom The cash register at the ice cream store started the day with \$120 $120. During the day, the store earned \$56 $56 selling ice cream. The manager also paid for a delivery out of the cash register. At the end of the day, the cash register had \$141 $141. How much did the delivery cost? \$ $

Solving Multi-step Problems Involving Multiplication and Addition or Subtraction Cherry's Classroom 1.71K subscribers Subscribe 2.1K views 1 year ago Learn how to Solve Multi-step...

across grades as it builds on problem solving with addition and subtraction (2.OA.A.1) and prepares students for multi-step problem solving (4.OA.A.3). Standard 3.OA.D.8 and this miniassessment target - application, one of the three elements of rigor, through word problems. A CLOSER LOOK . Standard 3.OA.D.8 encompasses a significant amount of

In general, the steps involved in solving multi-step problems are as follows: Step 1: Understand the problem. The first thing to do is to read the problem thoroughly to analyze the little details. Here, we get to pick out the information provided to us and what we need to find with the provided information. Step 2: Make a plan.

Two Step Word Problems - Multiplication for 3rd Grade | Kids Academy Kids Academy 579K subscribers Dislike Share 32,435 views Jan 10, 2018 Thousands of parents and educators are turning to the...

Multiply the numbers using long multiplication. Insert a decimal point in the product so it has the same number of decimal places equal to the total from step 1. Example Long Multiplication with Decimals Multiply 45.2 by 0.21 There's 3 total decimal places in both numbers.

Addition, then Multiplication. Solve word problems that require an extra step to solve. Two-step word problems have three numbers which must be operated on separately, and in the right order. They take much more understanding of the problem than simple word problems because they provide the information in a less structured form.

Step 1: Find the number of sheets of paper that she gave out. 62 × 5 = 310 She gave out 310 sheets of paper. Step 2: Find the number of sheets of paper she has left. 400 - 310 = 90 She has 90 sheets of paper left. How to identify the operations in two step word problems by using problem solving steps and a model?

Solve word problems that require two separate operations. Two-step word problems have three numbers which must be operated on separately, and in the right order. They take much more understanding of the problem than simple word problems because they provide the information in a less structured form. For these problems, finding the answer ...

A multi-step equation is an equation that takes two or more steps to solve. These problems can have a mix of addition, subtraction, multiplication, or division. We also might have to combine like terms or use the distributive property to properly solve our equations. So get your mathematical toolbox out!

So g times 3 is also going to be the number of truffles at the party-- number of truffles total. So these two things need to be equal to each other. So we could figure out what 4 times 6 is. And then we say, well, 4 times 6 is going to be some number. And g times 3 has to equal that same number.

In this game, students practice solving 2-step word problems involving multiplication, including multiplying by multiples of 10, and division. There are also 2 no prep printable pages (10 total problems) to use for extra practice, homework, or assessment. This set is part of a 2-step problem solving bundle.

Two-step math word problems require you to solve two equations (or number sentences) before you come to an answer. The problem might have two different operations (like...

Solving Two-Step Equations. Solve two-step equations using division. These two-step equations are solved by using addition and subtraction, then multiplication to eliminate a denominator. All problems resolve to integers. You can adjust the difficulty of the problems by increasing the values size, using negative coefficients and flipping the ...

Two step, Multiplication word problems. ... This PowerPoint will help your Year 5 class to master higher-level problem solving using multiplication and division. Decide mathematic. Mathematics is the study of numbers, shapes, and patterns. It is used to solve problems in a variety of fields, from engineering to economics.

Print and distribute the two-step multiplication challenge cards and ask students to answer the questions in pairs. You could even give children a time limit to complete the questions and ask them to pass on their challenge cards to the next pair until all pairs have completed each problem.

These multi-step word problems incorporate addition, subtraction, multiplication, and division as well as time, money, place value, and. Better than just an application ... Students will add, subtract, multiply, and divide fractions to solve two-step word problems. 5th grade. Math.

Using the comparison model, this video teaches how to approach a given 2-step problem on multiplication and division, and shows the detailed steps of how to solve it. Example: Billy bought 5 bags of balls. Each bag contained 40 balls. He packed the balls into packets of 8 balls each.

8. Multiply the number in the tens place of the bottom number by the number in hundreds place of the top number. Multiply 3 times 7 to equal 21. Add the 1 you carried to equal 22. You don't need to carry the 2 in 22, as there are no more numbers to multiply on this line, so you can just write it down next to the 6. 9.

Step 4: Solve the 2-step equation from step 3 using two mathematical operations. We can go ahead and perform the multiplication and addition steps to solve for s. {eq}2 * 30 = \frac {s-5}{30} * 30 ...

Topics: Solve Multiplication and Division 2 Steps Word Problems for Whole Numbers using Bar Models/Tape Diagrams. (For Distance Learning)The word problems in this worksheets pack are based on multiplication and division situations of :- Equal groups- Comparison with Difference- Comparison with SumPrior Skill Required:Students need to have prior knowledge or skill in solving one step ...

Solving Algebra Equations with Multiplication and Division. Demonstrates, step-by-step and with illustrations, how to solve one-step linear equations using multiplication and division. 1. Determine mathematic problem. ... Figure out mathematic problems. Mathematics is the study of numbers, shapes and patterns. ...

2. Begin your two-step word problem like you would any other word problem by reading it carefully to decide what you need to do, including which. You can always count on our 24/7 customer support to be there for you when you need it. Math can be difficult to understand, but with a little clarification it can be easy!

PDF. Easel Activity. These Two Step Word Problem task cards give students practice using keywords in multi-step word problems to solve 40 multiple step word problems tasks. These two-step addition, subtraction, multiplication, and division word problems require students to use multiple order of operations to add, subtract, multiply, and divide.