grade 4 problem solving multiplication

In grade 4, children spend a lot of time with multiplication topics, such as . Here you can make an unlimited supply of worksheets for these topics. The worksheets can be made in html or PDF format (both are easy to print).

Below you will find the various worksheet types both in html and PDF format. They are randomly generated so unique each time. The answer key is automatically included on the second page. To get a different worksheet using the same options, press 'refresh' in the browser window (when viewed in browser).

Partial products (multiply mentally in parts)

Order of operations: add, subtract, multiply, and parenthesis — three operations

Multi-digit multiplication (multiplication algorithm; long multiplication)

Grade 3 multiplication worksheets

Grade 5 multiplication worksheets

How to use a structured drill to learn the times tables (not random drill). Free multiplication lessons for grades 3-4

Free Printable Multiplication Worksheets for 4th Grade

Multiplication mastery awaits! Discover an extensive collection of free printable math multiplication worksheets, tailored for Grade 4 students. Enhance your teaching experience with Quizizz's resources.

Recommended Topics for you

• Multiplication Facts
• Properties of Multiplication
• Multiplication Strategies
• One-Digit Multiplication
• Multi-Digit Multiplication

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Explore printable Multiplication worksheets for 4th Grade

Multiplication worksheets for Grade 4 are essential tools for teachers looking to help their students build a strong foundation in math. These worksheets provide a variety of exercises and problems that challenge students to apply their multiplication skills in different contexts. With a focus on mastering the multiplication tables, understanding the properties of multiplication, and solving word problems, these worksheets are designed to cater to the diverse learning needs of Grade 4 students. Teachers can easily integrate these resources into their lesson plans, using them for in-class practice, homework assignments, or even as assessment tools. By incorporating multiplication worksheets for Grade 4 into their teaching strategies, educators can ensure that their students develop the necessary skills and confidence to excel in math.

Quizizz is an excellent platform that offers a wide range of resources, including multiplication worksheets for Grade 4, to support teachers in their quest to make math engaging and accessible for their students. In addition to worksheets, Quizizz provides interactive quizzes and games that can be used to reinforce multiplication concepts and make learning fun. Teachers can create their own quizzes or choose from a vast library of pre-made content, allowing them to customize their instruction to meet the unique needs of their students. With Quizizz, educators can also track student progress and identify areas where additional support may be needed. By leveraging the power of Quizizz and its diverse offerings, teachers can create a dynamic and engaging learning environment that fosters a love for math in their Grade 4 students.

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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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Home / United States / Math Classes / Worksheets / 4th Grade Multiplication Worksheets

4th Grade Multiplication Worksheets

The 4th grade multiplication worksheets focus on multiplying multi-digit numbers. These worksheets enable students to en hance their understanding of various methods and sophisticated strategies to multiply multi-digit numbers. ...Read More Read Less

• Interactive Worksheets

Choose Math Worksheets by Grade

Choose math worksheets by topic, multiplication worksheets explained.

Multiplication is one of the four most basic operations in Mathematics. The grade 4 multiplication worksheets are curated to provide students a holistic understanding of the concepts that are a part of the chapter on multiplication. These worksheets present a platform enriched with a variety of problems based on multiplication operations, and this assists students to recall related concepts learned in lower grades and take them to an advanced level by solving multiple problems.

Fourth grade multiplication worksheets focus on the following important aspects of multiplication:

• Multiplication methods - These worksheets provide an array of problems pertaining to various methods of multiplication that will be part of grade 4, and that have already been introduced to students in grade 3. The worksheets cover topics such as, multiplication using:
• Number line
• Partial products
• Place value
• Rounding of numbers

The real life scenario based problems further enhance a student’s ability to apply the concept of multiplication to solve everyday problems.

• Properties of Multiplication - Math multiplication grade 4 worksheets provide a perfect blend of easy to hard problems on the properties of multiplication. Having solved these problems, a student will become proficient in applying the commutative, distributive and associative properties of multiplication.
• Product Estimation  - Multiplication 4th grade worksheets present a pool of problems with varied difficulty levels on the estimation of products. The multiplication worksheets provide a huge variety of questions in an interactive format that engages as well as enhances the student’s interest in taking up more challenging problems on multiplication.

If there is a need to revise specific concepts on multiplication, go ahead and click on the following links:

• Concept of multiplication of One-digit number
• Comparison of two numbers using multiplication
• Multiplication of numbers using place value
• Concept of Multiplication operation on one-digit number using property and models
• Concept of operation on Multiplication of one-digit number of partial products
• Multiplication using rounding of numbers
• Multiplication of Two-digit number using place values & properties

Benefits of Multiplication Worksheets

The grade 4 multiplication worksheets are highly beneficial for students who want to get a good grasp on basic and advanced math concepts. With the help of these worksheets, students can also improve their problem solving skills that can also be applied to solve complex problems. Additionally, regular practice of these worksheets boost mental multiplication skills. The following fourth grade multiplication worksheets will help the student dive deeper into the world of multiplication and master the topics.

• Multiplication Problems - Easy: These easy to solve fourth grade multiplication worksheets can build on the fundamentals of problem solving. The problems here emphasize the practice of mental multiplication to enhance numeracy skills. Succeeding in these initial stages of learning multiplication, prepares the student for further advanced level problems.
• Multiplication Problems - Medium: These free printable worksheets for grade 4 enable students to think in new ways and enhance their critical thinking skills. Students learn how to solve problems that involve multiple steps and two or more math operations. Solving such worksheets boosts the student’s confidence and motivates them to solve further challenging questions. 
• Multiplication Problems - Hard: These multiplication worksheets for 4th grade strengthen student’s analytical and concept application skills. Students are able to comprehend problems in real life scenarios and learn to model such scenarios in the form of equations. They also solve for unknown values in a multiplication equation using number lines, models, place value and partial products. Therefore, students are able to build a strong foundation in multiplication by solving complex yet innovative problems.

Printable and Interactive Worksheets PDFs

The PDF based printable multiplication worksheets for 4th grade can be solved offline once downloaded from the website as per the student’s convenience. The tech-based interactive worksheets for 4th grade students are designed to be solved in an online mode. These worksheets are timed and thus will enhance a student’s ability to quickly solve problems. Additionally, once the answers are submitted, the students can view the solution to each problem instantly, which helps them identify gaps in their understanding of the concept, in case of incorrect answers. These solutions may sometimes also give the students an alternative and quicker approach to solving problems.

What are partial products?

Partial products are mainly used to multiply multi-digit numbers. When multiplying a single digit number by a multi digit number, the multi digit number is broken into parts as per place value. The product of the multiplicand and one part of the multiplier is known as a partial product. So, in other words, multiplication is carried out in parts and these partial products are then added to get the final product.

Is repeated addition different from multiplication?

Repeated addition involves adding a number to itself multiple times. So if we add a number ‘n’ times we get n times the number. This is also expressed as the product of the number and ‘n’. So repeated addition is the same as multiplication or repeated addition is a form of multiplication.

What are multiplicand, multiplier and product?

Multiplication of two numbers can be expressed as:

Multiplicand x Multiplier = Product

So, the number that gets multiplied is the multiplicand and the number by which it is multiplied is the multiplier . The result of multiplying two numbers is the product .

What are the multiples of a number?

Two or more numbers when multiplied result in the product, and this product is stated to be a multiple of the numbers .

What are factors of a number?

When two or more numbers are multiplied to get a product, the numbers being multiplied are called the factors of the product .

• Multiplication

Grade 4 - Multiplication

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Contents: Multiplication

In this section, master following skills in Multiplication:

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 And Key Details (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

Make a Multiplication Expression using Number Line Game

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

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.

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.

Times Tables Games

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.

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.

Multiplication Properties Games for 4th Graders Games

Apply Distributive Property Game

Kids must apply distributive property to practice multiplication.

Identify the Correct Multiplication Expression Game

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

Solve using Distributive Property Game

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

Find the Product using Area Models Game

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

Multiply By Multiples Of 10 Games for 4th Graders Games

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.

Multiply using the Given Fact Game

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

Multiply using a Related Fact Game

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

Multi-digit Multiplication Games

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 4- and 1-Digit Number Game

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

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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Unit 1: Place value

Unit 2: addition, subtraction, and estimation, unit 3: multiply by 1-digit numbers, unit 4: multiply by 2-digit numbers, unit 5: division, unit 6: factors, multiples and patterns, unit 7: equivalent fractions and comparing fractions, unit 8: add and subtract fractions, unit 9: multiply fractions, unit 10: understand decimals, unit 11: plane figures, unit 12: measuring angles, unit 13: area and perimeter, unit 14: units of measurement.

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!

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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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How to Solve Multiplication Word Problems

Word Problems: Multiplying Two Numbers

If there are 5 people in Karen's family, and if each person ate 4 pancakes , how many pancakes did Karen's family eat in all ?

Steps to Solving Word Problems

Pancakes each person had = 4

Number of people (Groups) = 5

Total pancakes (Product) = ?

5 times 4 = ? or 5 × 4 = ?

5 × 4 = 5 + 5 + 5 + 5 = 20

Karen's family ate 20 pancakes in all.

25 × 6 = ? 25 apartments × 6 people per = ? Total residents

25 × 6 = 150

150 people can live in the apartment building in all.

Word Problems: Multiplying Three Numbers

If, every week, Andrea sells 5 eggs each to 7 customers, how many eggs does she sell in 8 weeks?

5 × 7 × 8 = ?

5 × 7 × 8 = 35 × 8

5 × 7 × 8 = 280

Andrea sold 280 eggs in 8 weeks.

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4th Grade Math Word Problems Real-Life Problems

Welcome to our 4th Grade Math Word Problems page. Here you will find our range of Fourth Grade Math Problem Worksheets which will help your child apply and practice their Math skills to solve a range of challenges and 'real life' problems.

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4th Grade Math Word Problems

Here you will find a range of problem solving worksheets.

The sheets involve using a range of math skills and knowledge to solve problems.

Each problem sheet is available in both standard and metric units (where appropriate), and come complete with an answer sheet.

There is a mixture of longer math challenges and shorter word problems to solve. Some of the data comes from the real world, such as the Heaviest Terrestrial Animals sheet, some of the word problems are made up.

Using these sheets will help your child to:

• 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.

Travelling Salamanders Problem Solving

Travelling Salamanders involve the math skills of rounding, ordering, adding and subtracting.

This sheet is available in standard and metric units.

• Travelling Salamanders metric
• PDF version
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Heaviest Terrestrial Animals Problems

Heaviest Terrestrial Animals are a sheet of 4th grade math problems which involve solving a range of problems involving decimals with mainly 1 decimal place. Rounding, adding, subtracting and multiplying by 1000 are covered in these sheets.

• Heaviest Terrestrial Animals metric
• Heaviest Terrestrial Animals standard

Great Winged Wonders Problems

These word problems are all about the wingspans of birds. The math skills include rounding, ordering, adding and subtracting decimals with up to 1 or 2 decimal places, depending on whether you choose the standard or metric version.

• Great Winged Wonders metric
• Great WInged Wonders standard

Temperatures Around the World

These word problems are all about different temperature around the world. The main focus on these worksheets is the ordering and working out differences of positive and negative whole numbers.

• Temperatures around the world 2

Looking for some easier Real-Life word problems?

If these word problems are not at the right level for you, try some of our simpler 3rd grade math problems.

The problems in this section involve integers only and are at a more basic level than the problems on this page.

• 3rd Grade Real Life Math Word Problems

Looking for some more challenging word problems?

If these word problems look too easy, then why not try our 5th grade math problems?

The problem on this page involve larger numbers and more complex problem solving. They also involve decimals with more decimal places.

There are also some sinple ratio problems to introduce your child to ratio and proportion.

• 5th Grade Math Problems Real Life
• Ratio Word Problems (5th grade)

More Recommended Math Worksheets

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More 4th Grade Math Problems

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

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

These sheets involve solving one or two more challenging longer problems.

• 4th Grade Math Problems

These sheets involve solving a range of multiplciation problems.

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These sheets involve solving a range of division problems.

• Division Worksheets Grade 4 Word Problems
• Math Games 4th Grade

Using games is a great way to learn Math facts and develop mental calculation skills in a fun and easy way.

The following games involve different 4th Grade Math activities which your child will enjoy playing.

Games include using negative numbers, decimal addition and subtraction, rounding, multiplying by 10s.

• 4th Grade Math Puzzles

Here you will find a range of printable 4th grade math puzzles for your child to enjoy.

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