problem solving using multiplication for grade 4

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Multiplication Word Problems 4th Grade

Welcome to our Multiplication Word Problems for 4th Grade. Here you will find our range of printable multiplication problems which will help your child apply and practice their multiplication and times tables skills to solve a range of 'real life' problems at a 4th grade level.

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• 4th Grade Multiplication Problems Worksheets
• Easier & Harder Multiplication Worksheets
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Multiplication Word Problems 4th Grade Online Quiz

Multiplication word problems, 4th grade multiplication problems.

Here you will find a range of problem solving worksheets involving multiplication.

Each sheet involves solving a range of written multiplication problems.

There are 3 levels of difficulty for each worksheet below: A,B and C.

Worksheet A is the easiest level, suitable for children at the beginning of their grade.

Worksheet B is a medium level worksheets for children who are working at the expected level in their grade.

Worksheet C is set at a harder level, suitable for children who are more able mathematicians.

The problems in each worksheet are similar in wording, but the numbers involved become trickier as the level gets harder.

To encourage careful checking and thinking skills, each sheet includes one 'trick' question which is not a multiplication problem. Children need to spot this word problem, and work out which operation they need to solve it.

Using these sheets will help your child to:

• apply their multiplication and times tables skills at a 4th grade level;
• apply their times table knowledge to work out related facts;
• recognise multiplication problems, and try to spot 'trick' problems;
• solve a range of 'real life' problems.

Some of the sheets have a UK version with spelling and currency symbols set for the UK.

4th Grade Multiplication Word Problem Sheets

Series 4 sheet 1 set.

• Series 4 Sheet 1A (easier)
• Series 4 Sheet 1B (medium)
• Series 4 Sheet 1C (hard)

• PDF Series 4.1 (6 sheets)
• PDF Series 4.1 UK version (6 sheets)

Series 4 Sheet 2 Set

• Series 4 Sheet 2A (easier)
• Series 4 Sheet 2B (medium)
• Series 4 Sheet 2C (hard)
• PDF Series 4.2 (6 sheets)
• PDF Series 4.2 UK version (6 sheets)

Series 4 Sheet 3 Set

• Series 4 Sheet 3A (easier)
• Series 4 Sheet 3B (medium)
• Series 4 Sheet 3C (hard)
• PDF version Series 4.3 (6 sheets)
• PDF version Series 4.3 UK version (6 sheets)

Multiplication Word Problems Walkthrough Video

This short video walkthrough shows several problems from our Multiplication Problems Worksheet 4.3A being solved and has been produced by the West Explains Best math channel.

If you would like some support in solving the problems on these sheets, check out the video!

Looking for some easier Multiplication Problems?

In our 3rd Grade Multiplication word problem area, you will find a range of multiplication problems aimed at 3rd graders.

The following areas are covered:

• basic multiplication fact sheets;
• multiplication facts to 10x10;
• 2 digits x 1 digit
• Multiplication Word Problem Worksheets 3rd Grade

Looking for some harder Multiplication Problems?

In our 5th Grade Multiplication word problem area, you will find a range of multiplication problems aimed at 5th graders.

• multiplication fact sheets;
• multiplication related facts to 10x10 e.g. 6 x 70, 8 x 0.6, etc;
• problems needing written multiplication methods to solve e.g. 2 digits x 2 digits, decimal multiplication
• Multiplication Problems Printable 5th Grade

More Recommended Math Worksheets

Take a look at some more of our worksheets similar to these.

Looking for more 4th Grade Word Problems?

Here is our set of 4th grade math problems to help your child with their problem solving skills.

Each problem sheet comes complete with answers, and is available in both standard and metric units where applicable.

Many of the problems are based around 'real-life' problems and data such as the world's heaviest animals.

• apply their addition, subtraction and problem solving skills;
• apply their knowledge of rounding and place value;
• solve a range of 'real life' problems;
• attempt more challenging longer problems.

Using the problems in this section will help your child develop their problem solving and reasoning skills.

• 4th Grade Math Word Problems

Multiplication Times Table Charts

Here you will find a selection of Multiplication Times Table Charts to 10x10 or 12x12 to support your child in learning their multiplication facts.

There is a wide selection of multiplication charts including both color and black and white, smaller charts, filled charts and blank charts.

Using these charts will help your child to:

• Learn their multiplication facts to 10x10 or 12x12;
• Practice their multiplication table.

All the free printable Math charts in this section are informed by the Elementary Math Benchmarks.

• Large Multiplication Chart
• Large Multiplication Charts Times Tables
• Multiplication Times Tables Chart to 10x10
• Times Table Grid to 12x12
• Blank Multiplication Charts to 10x10
• Blank Printable Charts to 12x12
• Multiplication Math Games

Here you will find a range of Free Printable Multiplication Games.

The following games develop the Math skill of multiplying in a fun and motivating way.

• learn their multiplication facts;
• practice and improve their multiplication table recall;
• develop their strategic thinking skills.

Our quizzes have been created using Google Forms.

At the end of the quiz, you will get the chance to see your results by clicking 'See Score'.

This will take you to a new webpage where your results will be shown. You can print a copy of your results from this page, either as a pdf or as a paper copy.

For incorrect responses, we have added some helpful learning points to explain which answer was correct and why.

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We would be grateful for any feedback on our quizzes, please let us know using our Contact Us link, or use the Facebook Comments form at the bottom of the page.

This quick quiz tests your knowledge and skill at solving multiplication word problems by tens and hundreds.

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Multiplication Word Problem Worksheets

This page hosts a vast collection of multiplication word problems for 3rd grade, 4th grade, and 5th grade kids, based on real-life scenarios, practical applications, interesting facts, and vibrant themes. Featured here are various word problems ranging from basic single-digit multiplication to two-digit and three-digit multiplication. Another set of printable worksheets hone children's multiplication skill by multiplying large numbers. Free worksheets are included.

Single-digit Multiplication Word Problems

The printable PDF worksheets presented here involve single-digit multiplication word problems. Each worksheet carries five word problems based on day-to-day scenarios.

• Download the set

Multiplication Word Problems: Two-digit times Single-digit

The word problems featured here require a grade 3 learner to find the product by multiplying a two-digit number by a single-digit multiplier.

Multiplication Word Problems: Two-digit times Two-digit

The worksheets presented here involve multiplication of two-digit numbers. Read the word problems and find the product. Apply long multiplication (also known as column multiplication) method for easy calculation.

Theme Based Word Problems

Our engaging theme-based pdf worksheets help young minds understand the fundamentals of multiplication. Answer the word problems based on three fascinating themes - Winter Season, Ice rink and Library.

Multiplication Word Problems: Three-digit times Two-digit

Read the word problems featured in these printable worksheets for grade 4 and find the product of three-digit and two-digit numbers. Write down your answers and use the answer key below to check if they are right.

Three-digit Multiplication Word Problems

Solve these well-researched word problems that involve three-digit multiplication. Perform multiplication operation and carry over numbers carefully to find the product.

Multiplication: Three or Four-digit times Single-digit

The word problems featured here are based on practical applications and fact-based situations. Multiply a three or four-digit number by a single-digit multiplier to find the correct product.

Multi-digit Word Problems: Multiplying Large Numbers

Sharpen your skills by solving these engaging multi-digit word problems for grade 5. Apply long multiplication method to solve the problems. Use the answer key to check your answers.

Related Worksheets

» Addition Word Problems

» Subtraction Word Problems

» Division Word Problems

» Word Problems

» Multiplication

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Multiplying Multi-Digit Numbers - Grade 4

In these lessons, we will learn how to multiply multi-digit numbers.

• We will learn how to use patterns to multiply 10’s and 100’s.
• We will learn how to multiply multi-digit numbers using arrays and using expanded form.

Related Pages: Grade 3 Multiplication More Lessons for Grade 4 Math Multiplication Worksheets Multiplication Games

Multiplying 10’s and 100’s

Multiplying Multi-Digit Numbers Exploring Multiplication Use patterns to multiply 10’s and 100’s. Multiplying by 10, 100 and 1000

How to multiply whole numbers by 10, 100 and 1000?

Multiplying Using Arrays

We can multiply by breaking up the multiplier. We can use an array to show this.

How to multiply 2-digit by 2-digit numbers by breaking apart their arrays into easily manageable multipliers and finding partial products?

Example: 13 × 12

How to use the Area Array Model to simplify the multi-digit multiplication process?

Example: 54 × 18

Multiplying using Expanded Form

Solve the following multiplication problem by estimating first, then modeling the problem using base ten blocks and record using expanded form, then multiply to show the number of hundreds first or by showing the ones place first.

Example: You made 22 oatmeal cookies from one batch of mix. You make 3 batches of cookies. How many cookies did you make?

Step 1: Estimate First. 3 × 22 is about 3 × 20 = 60 cookies. I predict that I will make a little more than 60 cookies.

Step 4: Compare the final product in step 3 with your estimate in step 1. Multiplying using Expanded Form Multiplying using place value and expanded form with larger numbers to get products.

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• 4th Grade Math

Multiplication

Free printable multiplication worksheets for 4th graders: Practice makes perfect

Are you a Grade 4 teacher or parent and want to give your students the key to success in all math concepts? Then help them to grasp and master multiplication skills enjoyably. In this article, we’ll share free printable multiplication worksheets for grade 4 that you can download and print at home.

These worksheets are designed to cover a wide range of multiplication topics , from basic facts to multi-digit operations, and they are aligned with the Common Core Standards for Mathematics. Plus, we'll also give you some tips and tricks on how to use these worksheets effectively, as well as some fun and engaging activities to reinforce multiplication skills in your 4th grader .

Why multiplication matters for 4th Graders

Multiplication matters a lot for 4 th graders because of many reasons. First, is one of the most important math skills that your 4th grader will learn and use throughout their academic and personal life.

Secondly, it is essential for understanding and solving problems involving fractions, decimals, percentages, ratios, proportions, algebra, geometry, measurement, data analysis , and more.

Also, multiplication helps develop critical thinking, reasoning, and problem-solving skills vital for success in everyday situations.

BROWSE THE WEBSITE

Download free worksheets, 4th grade math topics.

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Start practice on Fourth Grade here

Understanding multiplication concepts.

Before your 4th grader can master multiplication facts and operations, they need to have a solid understanding of what multiplication means and how it works. Multiplication is a way of adding equal groups of objects or numbers . For example, 3 x 4 means adding 3 groups of 4 objects or numbers: 3 x 4 = 4 + 4 + 4 = 12. Another way to think of multiplication is repeated addition: 3 x 4 = 4 + 4 + 4 = (3 times) + 4 = 12.

Some of MathSkills4Kids free printable multiplication worksheets for 4th graders to practice and perfect their multiplication skills

To help your 4th grader practice and master multiplication skills , we've selected a collection of free printable multiplication worksheets for grade 4 that you can download and print at home. These MathSkills4Kids worksheets cover a variety of multiplication topics, such as:

• Multiplication facts up to 12 : These worksheets help your 4th grader memorize the basic multiplication facts from 0 to 12 . They include drills, puzzles, games, and quizzes to make learning fun and easy.
• Identifying factors : These worksheets help your 4th grader identify the factors of a given number . Factors are the numbers that can divide another number evenly. For example, the factors of 12 are 1, 2, 3, 4, 6, and 12.
• Comparing numbers using multiplication : These worksheets help your 4th grader compare two or more numbers using multiplication . They include problems that require finding the greatest common factor (GCF), the least common multiple (LCM), or the product of two or more numbers .
• Multiplying single-digit numbers : These worksheets help your 4th grader multiply single-digit numbers by single-digit numbers . They include problems that require regrouping or carrying over digits to the next place value.
• Multiplying double-digit numbers : These worksheets help your 4th grader multiply double-digit numbers by single-digit or double-digit numbers . They include problems that require regrouping or carrying over digits to the next place value.
• Multiplying triple-digit numbers : These worksheets help your 4th grader multiply triple-digit numbers by single-digit or double-digit numbers . They include problems that require regrouping or carrying over digits to the next place value.
• Properties of multiplication : These worksheets help your 4th grader understand and apply the properties of multiplication , such as the commutative property (a x b = b x a), the associative property ((a x b) x c = a x (b x c)), and the distributive property (a x (b + c) = (a x b) + (a x c)).
• Estimate products : These worksheets help your 4th grader estimate the products of two or more numbers by rounding them to the nearest ten or hundred . Estimating products helps check the reasonableness of an answer and makes mental math easier.
• Multiplying numbers ending with zeroes : These worksheets help your 4th grader multiply numbers that end with one or more zeroes by single-digit or double-digit numbers . They include problems that require regrouping or carrying over digits to the next place value.
• Multiplication word problems : These worksheets help your 4th grader apply multiplication skills to solve real-world problems involving situations such as money, time, distance, area, volume, etc.

How to use MathSkills4Kids free printable multiplication worksheets for Grade 4

To use MathSkills4Kids free printable multiplication worksheets for grade 4 , you need to follow these simple steps:

• Download the worksheets from the link below . You'll get a PDF file that contains all the worksheets in one document. You can print the whole document or select the pages you want to print.
• Print the worksheets on a regular printer or cardstock paper for durability . You can also laminate the worksheets or put them in sheet protectors to make them reusable.
• Give the worksheets to your 4th grader and let them work on them independently or with your guidance . You can also use the worksheets as homework assignments, review materials, or assessment tools.
• Check the answers using the answer key provided at the end of the document . You can also use a calculator or an online tool to check the answers.
• Provide feedback and encouragement to your 4th grader . Celebrate their progress and success and help them with any difficulties.

Fun and engaging activities to reinforce multiplication skills

In addition to using these free printable multiplication worksheets for grade 4 , you can also try some fun and engaging activities to reinforce multiplication skills in your 4th grader.

Here are some ideas:

• Play multiplication games with cards, dice, dominoes, bingo , etc. You can find many online resources that offer free printable multiplication games for different levels and skills .
• Use manipulatives such as counters, beads, blocks , etc., to model and visualize multiplication concepts and problems . You can also use arrays, area models, number lines, etc., to show how multiplication works.
• Sing multiplication songs or rap multiplication facts to help your 4th grader memorize them. You can find many online resources that offer free multiplication songs and raps for different facts and tables .
• Watch multiplication videos or animations explaining multiplication concepts and strategies . You can find many online resources that offer free multiplication videos and animations for different topics and skills .
• Read multiplication stories or books illustrating and applying multiplication skills in real-life situations . You can find many online resources that offer free multiplication stories and books for different levels and interests .

Tips and tricks to master multiplication facts

One of the most important skills for 4th graders is quickly recalling multiplication facts . This will help them solve more complex problems and prepare them for higher-level math.

Here are some tips and tricks to help your 4th grader master multiplication facts :

Skip counting can help your child learn the patterns and relationships between numbers and their multiples . You can practice skip counting with your child using songs, chants, flashcards, or games.

• Use arrays . Arrays are arrangements of objects or numbers in rows and columns. For example, an array of 3 rows and 4 columns can represent the multiplication fact 3 x 4 = 12.
• Arrays can help your child visualize how multiplication works and how to use repeated addition to find the product . You can use objects like buttons, coins, or stickers to make arrays with your child and ask them to write the corresponding multiplication fact.

You can use fact family triangles or cards to practice fact families with your child and ask them to write all four facts for each group of numbers.

You can teach your child these tricks and help them apply them when they encounter these facts.

Celebrate your 4th grader's progress and success

Learning multiplication can be challenging but also rewarding for your 4th grader. It is important to celebrate their progress and success along the way and encourage them to keep practicing and improving their skills.

Here are some ways you can celebrate your 4th grader's progress and success:

• Praise their efforts and achievements . Give your child specific and positive feedback on their efforts and achievements in learning multiplication. For example, you can say, "You worked really hard on these worksheets today," or "You did a great job on multiplying double-digit numbers .” This will boost their confidence and motivation to learn more.
• Reward their accomplishments . You can set up a reward system for your child based on their goals and milestones in learning multiplication. For example, you can give them stickers, tokens, or points for completing worksheets, mastering facts, or solving problems. You can then let them exchange their rewards for something they like, such as a toy, a book, or an activity.

You can also let them explain what they learned or how they solved a problem to someone else. This will make them feel proud of themselves and recognized for their achievements.

Bonus: More resources online to reinforce multiplication skills in Grade 4

As we know, practice makes perfect . So, if you are looking for more ways to help your students practice and reinforce multiplication skills in grade 4 , you are in luck! There are many online resources that offer free printable multiplication worksheets for 4th graders , fun multiplication games, quizzes, videos, and more.

Here are some of the best ones we found:

Some games include Multiplication Grand Prix, Monster Multiplication, Multiplication Blocks, and more. You can also find interactive multiplication charts, flashcards, and worksheets on this site.

• 4th grade | Math | Khan Academy : This is a great platform for learning and practicing any math topic, including multiplication. You can watch videos that explain multiplication concepts and strategies, practice with interactive exercises, and track your progress with badges and points. You can also join a class or create your own to learn with others.
• Multiplication Games for 4th Graders Online - SplashLearn : This online learning platform offers engaging and personalized multiplication activities for 4th graders. You can access hundreds of multiplication games, worksheets, and word problems aligned with the Common Core standards. You can also monitor your child's performance and progress with reports and insights.
• Multiplication | CoolMath4Kids : This website has a lot of fun and cool math games that cover various multiplication topics. You can play games like Multiplication Bingo, Math Man, Math Monster Multiplication, and more. You can also find multiplication quizzes, puzzles, and worksheets on this site.

After going through our fun, enriching article about multiplication, we can therefore conclude that multiplication is an essential skill for 4th graders to learn and master . It helps them develop their number sense, problem-solving, and critical thinking skills. It also prepares them for more advanced math topics in the future.

Thank you for sharing the links of MathSkills4Kids.com with your loved ones. Your choice is greatly appreciated.

Conclusion: Keep Practicing and Have Fun

With these free printable multiplication worksheets for 4 th graders , you can help your students practice and improve their multiplication skills in a fun and effective way. You can also use these worksheets as homework assignments, review materials, or assessment tools.

But don't stop there! You can also supplement these worksheets with other online resources that offer more multiplication games, videos, quizzes, and more. These resources can make learning multiplication more enjoyable and engaging for your 4th grader.

We hope you find these free printable multiplication worksheets for grade 4 useful and helpful. Feel free to download them, print them out, and use them as much as you want. And remember to celebrate your 4th grader's progress and success along the way!

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Teaching Multiplication Word Problems (Grade 4)

Students often wonder why they’re learning a given math concept and word problems come in handy to help them realize the practical application of what is being taught. However, teaching word problems can be challenging, both for teachers and students.

This is why we’ll share simple tips on teaching multiplication word problems (grade 4) for teachers and homeschooling parents. Read on to learn more.

What Are Multiplication Word Problems?

Multiplication word problems are math problems that represent actual situations from the real world and involve multiplication.

However, when solving multiplication word problems, children also come across multi-step word problems . These are problems with more than one operation, such as addition, subtraction, multiplication, or division.

How to Solve Multiplication Word Problems (Grade 4)

Start with simple multiplication word problems.

Explain to students that the trickiest part of any word problem is understanding what is being asked. If they don’t know what they’re being asked to do, it will be very difficult to solve the math problem.

Sometimes, a word problem involves so many details that the key question gets lost. Explain to students that this is why it’s crucial to identify what’s important in a given word problem and what isn’t.

Encourage students to use a highlighter when solving multiplication word problems to highlight the keywords, key numbers, and key operations in a word problem. Provide an easy example where this can be applied, such as:

Jeremy has 7 caramels and he has 5 times as many marshmallows . How many more marshmallows than caramels does he have ?

Explain that the thing we’re trying to find out is how many more marshmallows than caramels Jeremy has – this is the main question that students are asked. To answer the question, explain that they’ll use the underlined key information and perform two steps.

The first step is to figure out how many marshmallows Jeremy has; he has 5 x 7 as many marshmallows or 35 marshmallows . In other words, the first step is multiplication.

In the second step, once children are aware that Jeremy has 35 marshmallows and 7 caramels, they can easily find out how many more marshmallows than caramels he has by subtracting the total number of caramels from the total number of marshmallows, that is:

35 – 7 = 28 

So Jeremy has 28 more marshmallows than caramels, which children could find out by engaging in two steps – multiplication and subtraction.

Move on to ‘Wordier’ Multiplication Word Problems

Don’t jump into extremely wordy problems right away, but gradually transition to word problems of moderate difficulty that involve several steps, such as:

Mr. Conner bought 15 packets of pencils for his students. 5 of the packets had 6 pencils and the other 10 of the packet had 8 pencils . How many pencils did Mr.Conner buy in all ?

Explain to students that after they underline the important information, they need to assess which steps they need to take. For starters, make sure they understand they’re trying to find out the answer to the key question – how many pencils Mr. Conner bought in total?

To be able to answer this question, explain to them that they’ll use the key information that’s highlighted in the word problem as we did before, taking one step at a time. Point out that we know there are 5 packets of pencils that have 6 pencils each, which means:

5 x 6 = 30 pencils

The other key information they have is that there are 10 packets of pencils with 8 pencils each, that is:

10 x 8 = 80 pencils

Finally, point out that we’ll add the total number of pencils in 5 of the packets and in 10 of the packets, or:

30 + 80 = 110 pencils

So, the answer to “how many pencils Mr. Conner bought in total” is 110 pencils. This multi-step problem involved two multiplication steps and one addition step to get the right answer.

Activities to Practice Multiplication Word Problems (Grade 4)

Use this Assignment Worksheet (Members Only) to further reinforce children’s skills in solving multiplication word problems. The worksheet contains a dozen multiplication word problems that contain relatable and fun examples.

For instance, in part A of the worksheet, students are asked to solve a number of challenges connected to 4th graders in Mr. Vincent’s class that went to an amusement park last week, bought ice cream, and visited a haunted house.

To prepare for this activity, print out one copy of the worksheet (Members Only) per student. Make sure to bring a sufficient number of markers with different colors that students can use to highlight the key information in the math problems.

Explain to students that they’ll work in pairs of two to solve the word problems. Hand out the worksheets and markers to each pair. After a pair is done, they present their worksheet in front of the entire class by explaining each step they took to solve the given multi-step word problem.

Online Math Activity

Use this online math activity from Khan Academy to solve multiplication word problems. There’s a big variety of multi-step word problems that involve multiplication as a step that children will definitely enjoy.

Make sure that there’s a suitable technical device for each student (such as a laptop, iPad, or even a phone) so that they play individually. Since these online word problems can be done individually, they’re also a great resource for parents who are homeschooling their children.

Each question even contains a hint or a video in case the child gets stuck.

Before You Leave…

We hope you’ve enjoyed our tips on teaching math! If you’re looking for more math materials for kids of all ages, sign up for a membership on Math Teacher Coach or head over to our blog – you’ll find plenty of resources that will make teaching math easier than ever!

Not ready yet? Sign up for our emails to get a preview of our free unit for fourth grade and receive loads of free content!

This article is based on:

Unit 3 – Multi-Digit Whole Number Multiplication

• 3-1 Area and Perimeter Models
• 3-2 Multiplying by 10, 100, and 1,000
• 3-3 Multiplying Two-Digit by One-Digit Number
• 3-4 Multiplying Four-Digit by One-Digit Number
• 3-5 Multiplying Two-digit by Two-digit Number
• 3-6 Solve Multiplication Word Problems (Two-Step and Multi-Step)

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Multiplication Games for 4th Grade

Enjoy interactive multiplication games for 4th graders! Developed in collaboration with math teachers, these are top-tier multiplication games for kids. They cover essential curriculum concepts like column multiplication, area model multiplication, times tables, and multi-digit multiplication, offering a comp ... Read more rehensive learning experience. Whether you're a parent or teacher searching for enjoyable multiplication games for fourth graders, you've come to the right place! Start now for free!

CONTENT TYPE

• Lesson Plans
• Number Sense (44)
• Compare Numbers (11)
• Order Numbers (4)
• Place Value (25)
• Expanded And Standard Form (5)
• Round Numbers (4)
• Addition (42)
• 4-Digit Addition (30)
• 4-Digit Addition Without Regrouping (13)
• 4-Digit Addition With Regrouping (17)
• Large Numbers Addition (10)
• 5-Digit Addition (6)
• Subtraction (28)
• 4-Digit Subtraction (20)
• 4-Digit Subtraction Without Regrouping (9)
• 4-Digit Subtraction With Regrouping (11)
• Large Numbers Subtraction (8)
• 5-Digit Subtraction (5)
• Multiplication (63)
• Multiplication Strategies (5)
• Times Tables (10)
• Multiplication By 11 (5)
• Multiplication By 12 (5)
• Multiplication Properties (6)
• Distributive Property Of Multiplication (6)
• Multiply By Multiples Of 10 (5)
• Multi-Digit Multiplication (36)
• Multiply 2-Digit By 1-Digit Numbers (11)
• Multiply 2-Digit By 2-Digit Numbers (11)
• Multiply 3-Digit By 1-Digit Numbers (7)
• Multiply 4-Digit By 1-Digit Numbers (7)
• Division (81)
• Division Facts (36)
• Long Division (29)
• Divide 2-Digit By 1-Digit Numbers (10)
• Divide 3-Digit By 1-Digit Numbers (11)
• Divide 4-Digit By 1-Digit Numbers (7)
• Fractions (126)
• Fractions Using Models (12)
• Fractions On A Number Line (7)
• Compare Fractions (13)
• Equivalent Fractions (25)
• Equivalent Fractions Using Models (10)
• Mixed Numbers As Improper Fractions (4)
• Fractions Operations (60)
• Add Fractions (17)
• Add Fractions Using Models (7)
• Add Like Fractions (14)
• Subtract Fractions (9)
• Subtract Like Fractions (7)
• Add Mixed Numbers (9)
• Subtract Mixed Numbers (9)
• Subtract A Fraction From A Mixed Number (5)
• Multiply Fractions (16)
• Multiply Fractions Using Models (8)
• Multiply Fractions By Whole Numbers (16)
• Decimals (81)
• Read And Write Decimals (31)
• Decimals Using Models (8)
• Decimal Place Value (19)
• Compare Decimals (16)
• Order Decimals (12)
• Round Decimals (9)
• Convert Decimals To Fractions (7)
• Decimal Operations (8)
• Add Decimals (5)
• Geometry (39)
• Lines, Line Segments, Rays (6)
• Parallel And Perpendicular Lines (5)
• Angles (15)
• Shapes (13)
• 2D Shapes (13)
• Attributes Of 2D Shapes (5)
• Quadrilaterals (7)
• Measurement (61)
• Length (10)
• Capacity (8)
• Perimeter (17)
• Add And Subtract Money (5)
• Multiply And Divide Money (5)
• Algebra (25)
• Number Patterns (13)
• Factors And Multiples (7)
• Prime And Composite Numbers (5)
• Word Problems (24)
• Addition Word Problems (2)
• Multiplication Word Problems (1)
• Division Word Problems (6)
• Fraction Word Problems (4)
• Money Word Problems (10)
• Reading (44)
• Reading Comprehension (44)
• Cause And Effect (6)
• Inference (6)
• Identify The Main Idea (13)
• Categorize Pictures Into Groups (4)
• What'S The Title? (5)
• Prediction (6)
• Sequencing (13)
• Arrange Pictures In Order (3)
• Arrange Sentences In Order (4)

Multiplication Strategies Games for 4th Graders Games

Multiply by 11 With the Help of a Number Line Game

Enjoy the marvel of mathematics by exploring how to multiply by 11 with the help of a number line.

Use a Number Line to Multiply by 12 Game

Let your child see the world through math-colored shades by using a number line to multiply by 12.

Make a Multiplication Expression using Number Line Game

Have your own math-themed party by learning to make multiplication expressions using number lines.

Times Tables Games

Multiply and Choose the Correct Multiple of 11 Game

Enter the madness of math-multiverse by multiplying and choosing the correct multiple of 11.

Match the Multiple With the Correct Expression Game

Ask your little one to match the multiple with the correct expression.

Choose the Correct Multiple of 12 Game

Take a look at how to choose the correct multiple of 12 with this times tables game.

Select the Correct Multiplication Fact of 11 Game

Select the correct multiplication fact of 11 to play this game.

Multiplication Properties Games for 4th Graders Games

Solve using Distributive Property Game

Shine bright in the math world by learning how to solve using the distributive property.

Apply Distributive Property Game

Kids must apply distributive property to practice multiplication.

Find the Product using Area Models Game

Have your own math-themed party by learning to find the product using area models.

Identify the Correct Multiplication Expression Game

Enjoy the marvel of mathematics by exploring how to identify the correct multiplication expression.

Multiply By Multiples Of 10 Games for 4th Graders Games

Multiply using a Related Fact Game

Enjoy the marvel of mathematics by exploring how to multiply using a related fact.

Multiply using the Given Fact Game

Unearth the wisdom of mathematics by learning how to multiply using the given facts.

Multiply and Answer in Unit Form Game

Enjoy the marvel of math-multiverse by exploring how to multiply and answer in unit form.

Complete the Equation Game

Add more arrows to your child’s math quiver by helping them complete the equations.

Multi-digit Multiplication Games

Multiply the 4- and 1-Digit Number Game

Dive deep into the world of multiplication by multiplying 4- and 1-digit numbers.

Multiply using Place Value Game

Have your own math-themed party by learning how to multiply using place values.

Complete the Solution by Multiplying by Ones and Tens Game

Kids must complete the solution by multiplying by ones and tens.

Multiply the Two Digit Numbers Game

Add more arrows to your child’s math quiver by multiplying two digit numbers.

All Multiplication Games

Multiply Using Area Models Game

Enter the madness of math-multiverse by exploring how to multiply using area models.

Estimate the Product of Numbers within 50 by 1-Digit Numbers Game

Estimate the product of numbers within 50 by 1-digit numbers to practice multiplication.

Multiply 2-Digit Numbers Using Area Model Game

Use your multiplication skills to multiply 2-digit numbers using area models.

Estimate the Product of Numbers Greater than 50 by 1-Digit Numbers Game

Learn to estimate the product of numbers greater than 50 by 1-digit numbers.

Multiply to Find the Product Game

Use your math skills to multiply to find the product.

Complete the Multiplication Fact of 11 Game

Apply your knowledge of times tables to complete the multiplication facts of 11.

Estimate Products of Two 2-digit Numbers Game

Shine bright in the math world by learning how to estimate the product of two 2-digit numbers.

Find the Product Game

Unearth the wisdom of mathematics by learning to find the product.

Identify Multiples of 11 Game

Kids must identify multiples of 11 to practice times tables.

Estimate Products of 2-digit and 3-digit Numbers Game

Apply your knowledge of multiplication to estimate products of 2-digit and 3-digit numbers.

Complete the Solution by Multiplying by Ones Game

Kids must complete the solution by multiplying by ones.

Multiply by Multiple of 10 Game

Have your own math-themed party by learning how to multiply by multiples of 10.

Complete the Solution by Multiplying by Tens Game

Kids must complete the solution by multiplying by tens.

Find the Product and FIll in the Numbers Game

Kids must find the product and fIll in the numbers to practice multiplication.

Filling in the Missing Numbers and Complete the Multiplication Fact of 12 Game

Practice and complete multiplication facts of 12 by filling in the missing numbers.

Choose the Missing Number in the Multiplication Solution Game

Use your math skills to choose the missing number in the multiplication solution.

Identify the Multiples of 12 Game

Begin the exciting journey of becoming a math wizard by learning to identify the multiples of 12.

Multiply and Choose the Correct Product Game

Learn to solve math problems by multiplying and choosing the correct product.

Match the Product With its Respective Expression Game

Kids must match the product with its respective expression to practice multiplication.

Select the Missing Number to Complete the Missing Expression Game

Select the missing number to complete the missing expression.

Solve the Word Problems Related to Multiplication Game

Unearth the wisdom of mathematics by learning to solve word problems related to multiplication.

Find the Product by Multiplying Two Digit Numbers Game

Use your math skills to find the product by multiplying two digit numbers.

Multiply the Double Digit Numbers and Fill in the Product Game

Kids must multiply the double digit numbers and fill in the product.

Fill in the Answer and Complete the Multiplication Game

Kids must fill in the answer to complete the multiplication.

Select the Product of the 2-DIgit Numbers Game

Enter the madness of math-multiverse by exploring how to select the product of 2-digit numbers.

Match the Product With its Multiplication Expression Game

Shine bright in the math world by matching the product with its multiplication expression.

Choose the Missing Digit in the Product Game

Enjoy the marvel of math-multiverse by exploring how to choose the missing digit in the product.

Complete the Multiplication of Two 2-Digit Numbers Game

Help your child take flight by learning how to complete the multiplication of two 2-digit numbers.

Multiply Two 2-Digit Numbers using Place Value Game

Shine bright in the math world by learning how to multiply two 2-digit numbers using place values.

Identify the Missing Digit in the Product Game

Unearth the wisdom of mathematics by learning how to identify the missing digit in the product.

The Product of Two-Digit Numbers Game

Use your multiplication skills to find the product of two-digit numbers.

Frequently Asked Questions:

Q1: What is distributive property of multiplication?

Ans:  Distributive property of multiplication over addition simplifies multiplication of large numbers using the smaller known facts. One such example is: 40 x 105 which can be written as 40 x (100 + 5) = 40 x 100 + 40 x 5 which can be now solved mentally very quickly as 4000+200= 4200.

Q2: How do we multiply numbers by 1-digit numbers?

Ans:  We can easily multiply 2, 3 or 4-digit numbers by 1-digit numbers using column method. We can write the digits in column as per their palce values and multiply them. We can also use area model or box model to multiply them.

Q3: How can we use area model for multiplication?

Ans:  We can write both the numbers to be multiplied in expanded form and arrange them along length and the width of a rectangles. Then, we find the area of each rectangle using the formula: length x width. The sum of all the areas of rectangles is equal to the product of numbers.

Q4: How do we multiply 2-digit numbers by 2-digit numbers?

Ans:  We can multiply 2-digit numbers by 2-digit numbers using column method, area model or lattice method. To practice multiplication, there are ample of games in SplashLearn website. You just need to find math games in the home page and find 'multiplication games' in the tab 'Math Games by Topic' to practice this concept.

Q5: How do we multiply numbers?

Ans:  We can multiply numbers using column method, area model, or lattice method. To practice multiplication, there are ample of games in SplashLearn web page. To play fun games on multiplication, visit SplashLearn page and select your grade or find "multiplication games" in the tab "Math Games by Topics"; then your are ready to have fun while applying your knowledge.

Q6: How to multiply numbers by expanding them?

Introduction

Multiplication and division should be introduced in its most basic form at the earliest opportunity so that children can begin to familiarize themselves with these key operations. According to a study, successive research has shown that: children as young as preschoolers solve many multiplication and division word problems by connecting modeling with counting and grouping skills and with various strategies involving addition and subtraction. Hence it is very important to grasp the concepts of multiplication well because multiplication forms the building block for other mathematical concepts. A lot of sums can be solved with confidence just by learning multiplication tables. For example, knowing that 3 x 3 = 9 will help children understand that 30 x 30 = 900, and 300 x 300 = 90000. Being versed with multiplication properties and multiplication facts too helps in calculations. Also, Multiplication definition can be the inverse function of the division. Multiplication knowledge can come handy in verifying the division sums using the inverse. For example, 28 ÷ 4 = 7 is correct because 7 x 4 = 28.

Mathematical Representations of Multiplication

First Interpret a multiplication equation as a comparison, e.g., interpret 35 = 5 x 7 as a statement that 35 is 5 times as many as 7 and 7 times as many as 5. Represent verbal statements of multiplicative comparisons as multiplication equations. Then, multiply to solve word problems involving multiplicative comparison, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem, distinguishing multiplicative comparison from additive comparison.

Let children begin by investigating the formulas for area and perimeter. They use their understanding of the area and perimeter formulas to solve multiplication problems including the language of times as much with a focus on math problems using area and perimeter as a context (e.g., “A field is 9 feet wide. It is 4 times as long as it is wide. What is the perimeter of the field?”). Let kids create diagrams to represent these problems as well as write equations with symbols for the unknown quantities. For example, the width of a tent is 5ft and the length is twice the width. The rectangular air mattress measures 3ft by 6ft. If the mattress is put in the tent, how many squares feet of floor space will be available for the rest of the things?

In 4th grade math, the multiplicative comparison is crucial as it helps in understanding multiplication as scaling in Grade 5 and sets the stage for proportional reasoning in Grade 6. Introducing multiplication with area and perimeter allows for new and interesting multiplication word problems as children learn to calculate with larger numbers and interpret more complex problems.

First, let kids see perimeter as the sum of all four sides but a faster way is to double the sum of the length and width. Hence the formula as P = 2 × (l + w). Now let kids use the formula 2 × (l + w) to solve for perimeter and to find an unknown side length.

Kids can similarly find the area by counting the number of squares in the rectangle or counting number of squares in one row and then skip count that number for all the rows which are just multiplying the number of rows by the number in each row. Hence, a quicker way is to multiply the length times the width. Nine rows of 3 units each is like a multiplication array. We can just multiply 9 × 3. Total squares in the multiplication grid give the area of the rectangle.

This can be extended by exploring multiplication arrays to word problems. Let kids Solve multiplicative comparison mathematics problems by applying the area and perimeter formulas.

Multiplication by Single-Digit Numbers

Common core multiplication standards emphasize on reasoning, looking for and making use of multiplication table chart and various mathematical strategies that can help children understand better. Hence, for this purpose, SplashLearn has put together multiple strategies on how to teach multiplication that can be explored by parents to practice with their kids.

For teaching multiplication of multi-digit numbers by a single-digit kid should initiate by decomposing numbers into base ten units. Provide kids with sufficient multiplication practice of area models, the standard algorithm, and in the context of word problems, including multiplicative comparison problems, multiplication drills and multiplication and division worksheets. Multiplication charts and manipulatives like place value disks to represent multiplication also helps kids visualize the process. Once comfortable with the above methods kids can be progressed to the abstract level as they learn how to multiply three- and four-digit numbers by one-digit numbers. Finally, kids learn how to do double-digit multiplication by the partial products, the standard algorithm, and the area model via the distributive property of multiplication.

Place Value Disk Method

Let’s try to solve 2 digit multiplication with a single number using disks.

For example: 2 × 23

First, draw disks to represent 23 on the place value chart.

23 is: 2 tens 3 ones.

Draw 1 more group of 23 on the chart.

Now the value of the ones is 2 × 3 ones = 6 ones.

The value of the tens is 2 × 2 tens = 4 tens.

Add up the partial products. The final sum is 46.

Hence 2 X 23 = 46

Similarly, solve one digit by two digit multiplication of 4 × 54

First, draw disks to represent 54 on the place value chart. 54 is: 5 tens 4 ones.

Draw 3 more groups of 54 on the chart.

Now the value of the ones is 4 × 4 ones = 16 ones.

The value of the tens is 4 × 5 tens = 20 tens.

Add up the partial products. The final sum is 216.

Hence 4 X 54 = 216

Now extend the use of place value disks to represent one-digit by multi digit multiplication

Partial Products Drawing Method

Example: Solve 3 × 851 using a partial product drawing on the place value chart.

This time, rather than recording 3 groups of 851 to begin, record the partial products as we multiply each unit. Begin with ones place:  3 × 1 one is 3 ones.  Record that in the pace value chart.

In tens, we get: 3 times 5 tens which are 15 tens. Record this in the place value chart as 1 hundred 5 tens a bit lower than the ones so you can see the separate partial product.

Then do the hundreds. 3 times 8 hundreds is 24 hundreds. Record that in the place value chart as 2 thousands 4 hundreds. Now sum all the partial products to get the final answer. Hence, 3 x 851 = 2553

Standard Algorithm Method

Let us take a look at the sample problem in order to understand how to do multiplication through standard algorithm:

Problem: Solve 6 × 162.

First, represent 6 × 162 on the multiplication chart using the repeated addition way.

In this, we have, 6 hundreds, 36 tens, and 12 ones.

10 ones can be regrouped for 1 ten and 30 tens for 3 hundreds. The answer becomes 9 hundreds, 7 tens, and 2 ones. Standard algorithm is an efficient way of doing fast math.

Observe the ones column of the place value chart:

6 times 2 ones is equal to 12 ones.

Regrouping 10 ones for 1 ten leaves 2 ones.

Next record the number of regrouped tens on the line under the tens column. Record the number of ones in the ones place.

Now observe the tens column of the place value chart. 6 times 6 tens are same as 36 tens.

Exchange 30 tens for 3 hundreds leaving 6 tens. But 1 ten was regrouped from the ones, so 36 tens plus the 1 ten makes 37 tens. So, we have 3 hundreds and 7 tens after we regroup. Now record the number of hundreds on the line in the hundreds column.

Record the number of tens in the tens place.

Cross out the line in the tens place, as it has already been counted.

Now, observe the hundreds place. 6 × 1 hundred = 6 hundreds.

6 hundreds plus the 3 hundreds we regrouped equals 9 hundreds.

Write it at the hundreds place and cross out the 3 hundreds that have been used. Hence the answer becomes: 972

Connect Area Model and Partial Products Method

Let us look at 234 X 8 using the area model.

First, draw a rectangle with the length of 8 and the width of 200.

Multiply 8 times 200. That equals 1,600.

Draw two more rectangles both with the length of 8 and widths of 30 and 4 respectively. Multiply 8 times 30 (=240) and 8 times 4 (=32). Then combine all three rectangles and find the area of all three rectangles put together. Total Area = 1872

Comparing the partial products to the rectangular area model you will observe that the area inside each smaller rectangle is the same as each of the partial products. The distributive property allows breaking apart the large multiplication problem into three smaller ones. Add the areas individually which sums to 1872. Hence, the area model is another way to represent the partial products in multiplication.

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grade 4 problem solving with multiplicat...

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grade 4 problem solving with multiplication/division

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• 1. Multiple Choice Edit 30 seconds 1 pt There are 570 students at a school. If each classroom holds 30 students, how many classrooms are needed at the school?  15 19 17,100 600
• 2. Multiple Choice Edit 30 seconds 1 pt There were a total of 252 soccer games in the season. The season is played for 14 months. How many soccer games were played each month, if each month has the same number of games?  18 22 3,528 238
• 3. Multiple Choice Edit 30 seconds 1 pt Keith's shelves hold 11 books each. How many shelves will Keith need if Keith has 99 books?  110 1089 9 12
• 4. Multiple Choice Edit 30 seconds 1 pt Tim bought 405 crayons that came in packs of 15. How many packs of crayons did Tim buy?  6,075 27 25 420
• 5. Multiple Choice Edit 15 minutes 1 pt Mrs. Garran loves Chocolate Chip cookies.  For her birthday, the 4th grade teachers made her some cookies.  Since she loves chocolate so much, the teachers used 3 bags of chocolate chips.  Each bag had 476 chocolate chips in it.  How many chocolate chips were in the cookies for Mrs. Garran? What operation will you need to use to solve this problem? + - X
• 6. Multiple Choice Edit 5 minutes 1 pt A theater can seat 460 people at one time. If the theater fills every seat for 3 weeks, how many tickets were sold? 1,380 9,660 9,200 13,800
• 7. Multiple Choice Edit 5 minutes 1 pt Josefina's cat Whiskers, climbed into a tree and is afraid to get down. Her Dad climbed up a ladder to get Whiskers down. If he climbed up a ladder 15 steps, and each step is 32 centimeters, how far did he go? 192 480 160
• 8. Multiple Choice Edit 30 seconds 1 pt A teacher had 16 worksheets to grade. If she graded 4, but then another 18 were turned in, how many worksheets would she have to grade? 4 30 28 16
• 9. Multiple Choice Edit 15 minutes 1 pt The cafeteria had fifty-one apples. For lunch they handed out forty-one to students and decided to use the rest to make pies. If each pie takes five apples, how many pies could they make? 51 pies 41 pies 10 pies 2 pies

Jillian wants to go on a trip to visit her friend in another state. If her family has to drive 57 miles, ride on a plane for 408 miles, and then ride a train for 205 miles, how far away does Jillian's friend live?

• 11. Multiple Choice Edit 3 minutes 1 pt There are 45 students taking a trip to the museum. They form 3 groups with 7 students in each. How many students still need to be placed in groups? 21 students 55 students 35 students 24 students
• 12. Multiple Choice Edit 15 minutes 1 pt For a field trip, 21 students rode in cars and the rest filled six buses.  How many students were in each bus if 189 students were on the trip? 31.5 students per bus 28 students per bus 27 students per bus 24 students per bus
• 13. Multiple Choice Edit 15 minutes 1 pt Kathryn spent $26.90 on a magazine and eight erasers.  If the magazine cost $5.30, then how much was each eraser? $24.60 for one eraser $2.70 per eraser $3.36 per eraser $4.32 per eraser

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4th Grade Math Word Problems Worksheets

Math word problem worksheets for grade 4.

These word problem worksheets place 4th grade math concepts into real world problems that students can relate to.  

We encourage students to read and think about the problems carefully, by:

• providing  mixed word problem worksheets
• including irrelevant data within word problems so students must understand the context before applying a solution

The four operations

Mixed addition and subtraction word problems

Mixed multiplication and division word problems

Mixed 4 operations

Estimating and rounding word problems

Fractions and decimal word problems for grade 4

Writing and comparing fractions

Adding and subtracting fractions

Multiplying fractions by whole numbers

Adding and subtracting decimals

Measurement word problems

Mass and weight word problems

Volume and capacity word problems

Length word problems

Time & money word problems for 4th grade

Time word problems

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Shopping word problems

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Mixed word problems for grade 4  

Sample Grade 4 Word Problem Worksheet

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