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Multiplication (2-Digits Times 2-Digits)

The worksheets below require students to multiply 2-digit numbers by 2-digit numbers. Includes vertical and horizontal problems, as well as math riddles, task cards, a picture puzzle, a Scoot game, and word problems.

2-Digit Times 2-Digit Worksheets

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Multi-Digit Multiplication Worksheet Generator

Here's a tool that you can use to make your own customized PDF math worksheets. You can select the number of digits in both factors. You can also toggle between horizontal and vertical problems.

Games and Task Cards

Lattice multiplication.

This index page can direct you to any type of multi-digit multiplication worksheets on our website. Includes multiplying by 1, 2, and 3-digit numbers. Also have money, decimal, and fraction multiplication.

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Multiply 2 x 2 digits

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2-digit multiplication

Multiplication practice with all factors being under 100 ; column form.

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Multiply 2-digit numbers by 2-digit numbers

Related Pages Divide 2-digit numbers by 1-digit numbers More Lessons for Grade 4 Math Math Worksheets

These lessons help Grade 4 students learn how to multiply 2-digit numbers by 2-digit numbers. They include examples, solutions, videos, stories, and songs to help with multiplication skills.

The following diagram shows how to multiply a 2-digit number by a 2-digit number. Scroll down the page for more examples and solutions on multiplying 2-digit numbers.

Printable & Online Multiply by Multiples of 10 (eg. 6 x 30) Multiplying Multiples of 10, 100, 1000 (eg. 70 x 400)

Multiply 3-digit by 1-digit (eg. 435 x 6) Multiply Multi-digit by 1-digit (eg. 6,435 x 8)

Multiply 2-digit by 2-digit (eg. 35 × 24) Multiply 3-digit by 2-digit (eg. 215 × 32)

Interactive Multiply by Multiples of 10 (Sprint) Multiplying by Multiples of 10 Multiply by Multiples of 10, 100, 1000 (Sprint)

Generated & Dynamic 2 digits × 1 digit 3 digits × 1 digit 4 digits × 1 digit 2 digits × 2 digits 3 digits × 2 digits 4 digits × 2 digits 3 digits × 3 digits 5 digits × 2 digits

Specify your own conditions for multiplication worksheets

Multiplying 2 digit number by another 2 digit number with regrouping

• Multiply by the one’s place.
• Put a zero to hold the ones’ place.
• Multiply by the number in the ten’s place.
• Add the numbers together.

Multiplication of two-digit numbers

Multiply 2 digits by 2 digits

Multiplying a 2-digit number by a 2-digit number

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Double Digit Multiplication Worksheets

Welcome to our Double Digit Multiplication worksheets for 4th Grade. Here you will find a wide range of free multiplication worksheets, which will help your child learn to multiply a range of numbers up to 3 digits by 2 digits.

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Here you will find our selection of Fourth Grade Multiplication worksheets designed to help your child improve their ability to multiply 2- or 3-digit numbers by a two digit number.

The sheets are graded so that the easier ones are at the top.

These worksheets build on and extend the multiplication learning that takes place in 3rd Grade.

During 4th Grade, children use their knowledge of the multiplication table and place value to multiply numbers by 10s and 100s.

Using these sheets will help your child to:

• multiply a range of 2 and 3-digit numbers by two digits.

Double Digit Multiplication Worksheets 2-Digits by 2-Digits

• Multiplication 2 Digits by 2 Digits Sheet 1
• Sheet 1 Answers
• PDF version
• Multiplication 2 Digits by 2 Digits Sheet 2
• Sheet 2 Answers
• Multiplication 2 Digits by 2 Digits Sheet 3
• Sheet 3 Answers
• Multiplication 2 Digits by 2 Digits Sheet 4
• Sheet 4 Answers

More Double Digit Multiplication Worksheets

We have more 2-digit multiplication worksheets, including 2-digit x 1-digit multiplication problems on this page.

• More Double Digit Multiplication Worksheets (easier)

Multiplication 3-Digits by 2-Digits

• Multiplication 3 Digits by 2 Digits Sheet 1
• Multiplication 3 Digits by 2 Digits Sheet 2
• Multiplication 3 Digits by 2 Digits Sheet 3
• Multiplication 3 Digits by 2 Digits Sheet 4

Double Digit Multiplication Challenges

These double digit multiplication worksheets have been designed for more able students who need that extra challenge!

They are the same challenges that can be found on our 2-digit multiplication page.

• 2 Digit by 2 Digit Multiplication Challenge 1
• 2 Digit by 2 Digit Multiplication Challenge 2
• 2 Digit by 2 Digit Multiplication Challenge 3

More Recommended Math Worksheets

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

Long and Short Multiplication Worksheet Generator

Need to create your own long or short multiplication worksheets quickly and easily?

Our Long (and short) Multiplication worksheet generator will allow you to create your own custom worksheets to print out, complete with answers.

• Single Digit Multiplication Worksheets Generator
• Multi-Digit Multiplication Worksheet Generator

More Fourth Grade Multiplication Worksheets

Here you will find a range of Free Printable 4th Grade Multiplication Worksheets.

The following worksheets involve using the Fourth Grade Math skills of multiplying, and solving multiplication problems.

• use their multiplication table knowledge to multiply by 10s and 100s mentally
• multiply any whole number by a single digit;
• multiply a two or three digit number by a two digit number.

All the free 4th Grade Math Worksheets in this section are informed by the Elementary Math Benchmarks for 4th Grade.

• Times Table Worksheets Circles 1 to 12 tables
• Times Tables Worksheets (randomly generated)
• Multiplying by Multiples of 10 and 100
• Single Digit Multiplication Graded Sheets
• Free Multiplication Worksheets (randomly generated)
• Multiplication & Division Worksheets (randomly generated)

Multiplication Word Problems

• Multiplication Word Problems 4th Grade

4th Grade Mental Math Quizzes

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

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A great way to revise topics, or use as a weekly math test or math quiz!

• Mental Math Worksheets 4th Grade
• Multiplication Math Games

Here you will find a range of Free Printable Multiplication Games to help kids learn their multiplication facts.

Using these games will help your child to learn their multiplication facts to 5x5 or 10x10, and also to develop their memory and strategic thinking skills.

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Multiplying Two-Digit Numbers by Two-Digit Numbers

Once children are comfortable with multiplying two-digit numbers by one-digit numbers, they can go on to learn the multiplication of two-digit numbers by two-digit numbers.

There are a number of ways in which teachers can help children become fluent in performing two-digit number multiplications . This article describes simple strategies to do so. Read on to learn more.

How to Explain Multiplying Two-Digit Numbers by Two-Digit Numbers

Review multiplying two-digit numbers by one-digit numbers.

Before teaching about multiplying two-digit numbers by two-digit numbers, you may want to review your students’ knowledge of multiplying two-digit by one-digit numbers . This can be done through a simple activity that will let you identify whether some children require more attention in this area.

For instance, you can use a simple game, such as this online basketball game . It’s not necessary to download an app for the game and students can simply play it on their iPads, laptops, or phones.

Each student plays the game individually and takes turns playing the role of two teams, for instance, a red team and a blue team. Alternatively, if there aren’t enough devices for all students in the class – you can also decide to pair students up.

One student then plays the role of one team and the other one takes over when it’s the other team’s turn. Have fun playing and let the best team win!

Introduce Partial Product Multiplication

For starters, explain that you’ll be using a simple strategy called ‘partial product multiplication’ in order to learn how to multiply two-digit numbers by two-digit numbers.

Explaining partial product multiplication means that you look at each of the factors in a given multiplication equation and then break them down into their parts. In other words, each factor will be written in its expanded form .

Provide a multiplication equation as an example, such as 37 x 26 . Now ask students how the two factors, 37 and 26, can be presented in an expanded form. This is something that they already know from earlier units on place value and should be able to answer easily.

After someone explains that 37 breaks down into 30 + 7 and and 26 breaks down into 20 + 6, point out that 37 x 26 = (30 + 7) x (20 + 6). Then remind kids of the distributive property of multiplication, i.e. a x (b + c) = a x b + a x c.

Explain that in our case, by applying the distributive property of multiplication we have to multiply each digit of one factor by each digit of the other factor, taking into consideration their place value. Thus, we’ll get four different partial products .

That is, 30 x 20 = 600; 30 x 6 = 180; 7 x 20 = 140; 7 x 6 = 42. Tell kids that the last step is to simply add all of the partial products : 600 + 180 + 140 + 42 = 962. In other words, 37 x 26 = 962. So our total product is 962.

Additional Multiplication Models and Resources

Now students are familiar with one of the easiest ways to multiply two-digit numbers by two-digit numbers, particle product multiplication. There are of course other ways as well, such as the area model.

Download our Guided Notes Worksheet (Members Only) to further explore partial product multiplication , as well as explore other multiplication models. Print out a number of copies and hand them out to each student so that they read them. Then, discuss the guided notes together in class.

Practice multiplying two-digit numbers by two-digits with the exercises in our Bell-Work Worksheet (Members Only) as well as with the equations in our Assignment Worksheet (Members Only). You can also use these resources for individual practice even if you’re a homeschooling parent.

If you’re teaching in a school, at the end of the class, organize one or two fun games to further hone children’s multiplication skills! Check out our recommended activities in the next paragraphs.

Activities to Practice Two-Digit by Two-Digit Number Multiplication

Group work is arguably the simplest and yet one of the most effective ways to practice a new math concept. Print out our Interactive Notebook Worksheet (Members Only). It contains a variety of two two-digit multiplication problems, including simple word problems, such as:

“Alex went for a walk every day for three weeks. He walked 35 km every day. How many km did he walk altogether?”

• Divide students into groups of two and hand out one copy per group.
• Explain to students that they’re supposed to work together to solve the multiplication problems.
• As soon as a group is done, they present their results in front of the class.
• Encourage students to explain how they got the results they did and have them explain each step of the multiplication process. This way, you’ll make sure they grasp two two-digit multiplication properly and don’t sneak in a calculator to do the job for them!

Snakes and Ladders Multiplication

To play the snakes and ladders multiplication game, you’ll need to bring several snakes and ladders game boards, as well as a number of dice and counters according to the number of players. You’ll also need to bring a few calculators.

You can simply download a free, blank snakes and ladders template (there are plenty of beautifully illustrated versions online). Print out several copies according to the size of your class.

Alternatively, you can even draw one yourself and make copies accordingly. To draw a snakes and ladders game board, you’ll need to draw a square and divide it into twenty-five equal squares inside (five in each row and five in each column).

Mark the square in the lower-left corner with ‘start’ and the square in the upper. Mark all other squares with numbers from one to twenty-three, one being the square to the right of the ‘start’ square and twenty-three being the square to the left of the ‘finish’ square.

Draw several ladders and snakes (ex: five ladders and 7 snakes) that connect any two adjacent squares (such as squares six and seven). It should be visible which part is the bottom of each ladder and snake.

Finally, make sure that in each square there’s a different multiplication problem consisting of two two-digit numbers, such as 34 x 87, 69 x 54, etc.

Start playing!

• Divide children into groups of three. In each group, there are two players that compete against each other, and one ‘checker’ that checks their answers.
• Place one dice and one game board on the table of each group. Provide one counter to each player. Provide one calculator to each checker.
• Explain to children that the goal of the game is to be the first that reaches the ‘finish’ square with their counter.
• Explain the rules of the game to the students. Each player’s counter is on the ‘start’ square. Player one rolls the dice and moves up their counter as many squares as the number of the dice indicates. For example, if they’re on square four and they get a five when they roll the dice, they move up to square nine.
• Once they land on a particular square, they must solve the multiplication problem. If they answer correctly, the play continues and the other player repeats the same.
• If they answer incorrectly, they miss a go, that is, the other player gets to roll the dice two times in a row.
• The checker checks each answer provided on a calculator but makes sure that the players can’t see the result on their calculator. This way, they prevent players from seeing the right answer if they happen to do a calculation incorrectly.
• Players should also make sure to reveal their answer only to the checker and not to each other. This way, they prevent the other player from copying their answer if they land on the same square.
• Point out to children that if they land on a square that has a snake’s head – their counter slides down to the square where the snake’s tail is. For example, let’s say square one and seven are connected by a snake diagonally, with the snake’s head being in square seven. If a player lands on square seven, they have to slide down to square one and solve the multiplication problem of square one.
• If they land on a square that has the bottom of a ladder, they slide their counter up to the square where the top of the ladder is.
• The person that reaches the ‘finish’ square first, wins the game.
• Another game starts, this time, the winner is the checker and the other two kids are players.

Two-Digit by Two-Digit Number Multiplication Dice Game

This is an easy game that requires very little prep work. The only materials needed are dice, a number of markers, and individual whiteboards for every student. If you lack individual whiteboards, you can also use empty sheets of paper.

• Divide students into pairs of two.
• Hand out two dice to each pair, two markers, and two individual whiteboards.
• Explain the rules of the game: each student rolls the two dice twice to get two two-digit numbers. They write them down on their whiteboard and multiply them.
• The other student then checks their answer (they can use a calculator to check it if needed). If their answer is correct, they score one point. If their answer is incorrect they lose one point.
• The second player repeats the same process.
• This goes on for as many rounds as time allows.
• In the end, the player that has the most points wins the game.

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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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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 2-Digit by 2-Digit Numbers

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Online Math Lesson - Multiplying 2-Digit by 2-Digit Numbers

Are your fifth grade students ready to practice their multiplication skills? Try out this interactive math practice activity with your fifth grade class to practice multiplying 2-digit by 2-digit numbers. Here are the learning objectives for this online math game:

• Solve vertical multiplication problems involving 2-digit numbers.
• Solve horizontal multiplication problems involving 2-digit numbers.
• Solve multiplication word problems involving 2-digit numbers.

Students will answer fill-in-the-blank questions in this digital multiplication game.

Throughout the interactive math practice experience, your fifth grade students will have several helpful features available to them. For example, they can click on the hint button when they get stuck on a problem. The hint will display a pictorial or written clue, such as "Step 1: Multiply the Ones," to point students in the right direction without giving away the solution to the multiplication problem. It's inevitable that students will make mistakes along the way, so the I Know It program helps students learn from mistakes by displaying a detailed explanation page when they solve a problem incorrectly. The explanation page shows the right answer accompanied by an easy-to-follow explanation.

In addition to the hint and explanation page, the following features help students make the most of their math practice session: a progress-tracker shows students how many questions they have answered so far out of the total number of questions in the math activity; a score-tracker lets students see how many points they have earned for correct responses; plus, a speaker icon indicates the read-aloud feature, which students can click on to hear the question read out loud to them in a clear voice. (The read-aloud feature is a great resource for ESL/ELL students, and for children who prefer auditory learning.) As you can see, each of the built-in tools available in every I Know It math lesson are designed with your students' math achievement in mind.

Build Fifth Grade Math Skills with Digital Multiplication Practice

If you're looking for a way to get your fifth grade students excited about multiplication practice, look no further than iKnowIt.com! Our program features hundreds of fun, interactive math games designed to help your students build foundational math skills. Whether you are an elementary math teacher, homeschool educator, or school administrator, we're confident you will love using the I Know It digital math program alongside your comprehensive elementary math curriculum to engage your students in their math practice. Here are some of the highlights of our website:

• Hundreds of interactive math activities for kindergarten through fifth grade students, covering the foundational math topics in each grade
• Common Core-aligned math lessons written by accredited elementary math teachers just like you
• Dozens of digital math activities per grade level, categorized by topic for easy, on-demand access
• Awesome administrator features that help educators maximize their students' math practice experience with ease and efficiency

Teachers aren't the only ones who have lots to love about the I Know It interactive math practice program—students do too! Check out some of the features children love most about iKnowIt.com:

• Fun, educational math lessons that present as exciting math games
• Adorable, animated characters that cheer students on in their math practice sessions with a clever trick or a cute dance each time students solve a math problem correctly
• Plenty of positive feedback messages that encourage little ones to "Keep trying!" even when they make mistakes
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We hope you and your fifth-grade class will enjoy multiplying 2-digit by 2-digit numbers in this interactive math lesson. Be sure to check out the hundreds of other grade 5 math lessons we have available on our website as well.

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This interactive math lesson is classified as Level E. It may be ideal for a fifth-grade class.

You might also be interested in...

Multiplying 3-Digit by 2-Digit Numbers (Level E) In this fifth grade-level math lesson, students will practice multiplying 3-digit by 2-digit numbers. Questions are presented in fill-in-the-blank format.

Multiplying 4-Digit by 2-Digit Numbers (Level E) In this math lesson geared toward fifth grade, students will practice multiplying 4-digit by 2-digit numbers. Questions are presented in fill-in-the-blank format.

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2-Digit Multiplication

2-digit multiplication or double-digit multiplication is done by arranging the numbers in a way such that the given numbers are placed one below the other. A 2-digit number can be multiplied with a single digit, with another 2-digit number, a 3-digit number, and so on. Let us learn more about 2-digit multiplication, the steps for multiplication, and solve a few examples to understand the concept better.

What is 2-Digit Multiplication?

2-digit multiplication is the method of multiplying 2-digit numbers arranged in two place values, i.e., ones and tens. The method of multiplying numbers is the same as multiplying single digits. However, in double digits, we multiply each digit one by one by the multiplier. This means the multiplier is first multiplied with the ones digit of the multiplicand and then it is multiplied with the tens digit of the multiplicand. Let us learn about 2-digit by 1-digit multiplication and 2-digit by 2-digit multiplication in the following sections.

2-Digit by 1-Digit Multiplication

Multiplying 2-digit numbers with 1-digit numbers is quite simple. Let us understand this using the following steps and example.

Example: Multiply 23 × 2

• Step 1: Place the one-digit number below the 2-digit number. This makes the one-digit number the multiplier. Multiply the one-digit number (the multiplier) with the ones digit of the multiplicand. Here, 2 is the multiplier and the ones digit of the multiplicand is 3. So, 2 × 3 = 6. This partial product (6) will be placed under the ones column.
• Step 2: Now, multiply the multiplier with the tens digit of the multiplicand. Here, 2 is the multiplier and the tens digit of the multiplicand is 2. This means 2 × 2 = 4. This partial product (4) will be placed in the tens column. Therefore, 23 × 2 = 46

Now, let us learn how to multiply 2-digit numbers with 2-digit numbers.

2-Digit by 2-Digit Multiplication

2-digit by 2-digit multiplication means when both the numbers that are to be multiplied are of two digits. The multiplication starts with the ones place first and then moves on to the tens place. The numbers are placed one below the other. Although any of the two numbers can be placed on top or below, it is preferable to place the smaller number below because that makes multiplication easier. Let us understand this multiplication with the help of the following example. Let us multiply 34 × 12. In this case let us consider 34 to be the multiplicand and 12 as the multiplier.

• Step 1: Place the multiplicand (34) on top and the multiplier (12) below it as shown in the figure given above. Multiply the ones digit of the multiplier with the multiplicand. Here, 34 is the multiplicand and the ones digit of 12 is 2. This will give 34 × 2 = 68. This is the first partial product that will be placed in one line.
• Step 2: Multiply the multiplicand with the tens digit of the multiplier. Here, 34 is the multiplicand and the tens digit of the multiplier is 1. This will be 34 × 1 = 34. It should be noted that we need to place a zero below the ones digit of the partial product and then write the second partial product. (This 0 is placed here because we are actually multiplying 34 by 10 in this step). So we get 340 here.
• Step 3: Add both the partial products to get the final product. This will be 68 + 340 = 408.

Now, let us learn about 2-digit multiplication in which we have carry-overs.

2-Digit Multiplication With Regrouping

2-digit multiplication with regrouping or carrying over happens when a number is carried forward. Let us understand this with the following example and steps. Let us multiply 45 × 6.

• Step 1: Multiply the multiplier with the ones digit of the multiplicand. Here, the multiplicand is 45 and the ones digit in 45 is 5, and the multiplier is 6. So, this will be 6 × 5 = 30.
• Step 2: Since the product obtained in step 1 is 30, we will carry over 3 to the preceding tens column and write 0 below the ones column as the partial product.
• Step 3: Now, we will multiply the multiplier with the tens digit of the multiplicand. Here, the tens digit of the multiplicand is 4 and the multiplier is 6. So, this will be 6 × 4 = 24. At this point, we need to add the number that was carried over in the previous step. This means 24 + 3 = 27. Therefore, the final product is 270.

2-digit multiplication with decimals is quite similar to the regular multiplication using a few rules of decimal numbers. Let us learn more about it in the following section.

2-Digit Multiplication With Decimals

2-digit multiplication with decimals is done in the same manner as the usual multiplication of double-digits keeping in mind the rules of decimal numbers. While multiplying such numbers we can ignore the decimal point until we have obtained the final result. Once the final result is obtained, we count the number of decimal places in both the numbers, add them and place the decimal point according to that. Let us understand this with an example and multiply 2.5 × 1.1

• Step 1: Arrange the numbers vertically according to the place value. Do not align the numbers based on the decimal point.
• Step 2: Multiply the ones digit of the multiplier with the multiplicand. Here, it is 25 × 1 = 25.
• Step 3: Place a zero below the ones digit of the partial product.
• Step 4: Multiply the tens digit of the multiplier with the multiplicand. This will be 25. Place this next to the 0 below the partial product.
• Step 5: Add the two products to get the final product. Here, 25 + 250 = 275.
• Step 6: Place the decimal point after 2 places from the right in the final product. Since the multiplicand and the multiplier have 1 decimal place each, this makes it 1 + 1 = 2 decimal places. Therefore, we place the decimal point after 2 places from the right and we get 2.5 × 1.1 = 2.75

☛ Related Topics

• 2-Digit Subtraction
• 2-Digit Addition
• 3-Digit Addition
• 3-Digit Subtraction
• 3-Digit Multiplication
• 4-Digit Addition
• 4-Digit Subtraction
• Multiplication and Division of Integers

Examples on 2-Digit Multiplication

Example 1: Find the product of 67 × 20.

Solution: Let us understand this 2-digit multiplication using the following steps.

• Multiply 0 with both 7 and 6.
• Place a zero below the ones digit of the partial product.
• Multiply 2 with both 7 and 6.
• Add the products to obtain the final answer.

Therefore, 67 × 20 = 1340.

Example 2: Multiply 31 × 7

Solution: Let us do this 2-digit multiplication using the following steps.

• Multiply 7 with 1, that is, 7 × 1 = 7
• Now multiply 7 with 3, that is, 7 × 3 = 21
• Write them together as 217
• Therefore, 31 × 7 = 217

Example 3: State true or false with respect to 2-digit multiplication.

a.) 10 × 11 = 110

b.) 20 × 20 = 40

a.) True, 10 × 11 = 110

b.) False, 20 × 20 = 400

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Practice Questions on 2-Digit Multiplication

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FAQs on 2-Digit Multiplication

2-digit multiplication is a method of multiplying a 2-digit number with another number. The numbers are placed one below the other to perform multiplication. The number written on top is known as the multiplicand and the number written below is the multiplier. 2-digit numbers can be multiplied with 1-digit numbers, 2-digit numbers , and so on.

How to do 2-Digit Multiplication?

The following steps explain the process of 2-digit multiplication. For example, let us multiply 42 × 3

• Arrange the numbers one below the other such that the bigger number (42) is on top and the smaller one (3) is below it. So, 3 becomes the multiplier while 42 becomes the multiplicand.
• Start multiplying the multiplier with the ones digit of the multiplicand. Here, 3 will be multiplied with 2 which will give 3 × 2 = 6. This 6 will be written as the partial product.
• Then, multiply 3 with the tens digit of the multiplicand, that is 4, which will be 3 × 4 = 12. Now, writing both the products together, the final product will be 42 × 3 = 126

How to do Two-Digit Multiplication with Carrying?

Two-digit multiplication with carrying is done when the product of one column is more than 9. The extra digit is carried over to the next column and added to that particular product. For example, let us multiply 45 × 7.

• Place 45 on top and 7 below it so that 45 becomes the multiplicand and 5 becomes the multiplier.
• Multiply 7 with 5 and it will give 7 × 5 = 35. Since the product is a two-digit number 35, we will carry over 3 to the tens column and write 5 below the ones column as the partial product.
• Now, multiply the multiplier with the tens digit of the multiplicand. Here, the tens digit of the multiplicand is 4 and the multiplier is 7. So, this will be 7 × 4 = 28. At this point, we need to add the number that was carried over in the previous step. This means 28 + 3 = 31. Therefore, the final product is 315.

How to do 2-Digit by 1-Digit Multiplication?

2-digit by 1-digit multiplication is done in the same way as single-digit multiplication. For example, let us multiply 13 × 2.

• The double-digit (13) is written on top and the single digit (2) is written below, so 13 becomes the multiplicand and 2 becomes the multiplier.
• We start multiplying the bottom digit (multiplier) with the ones digit of the multiplicand. Here, we will multiply 2 with 3 which will be 2 × 3 = 6. We will note down this 6.
• Then we move on and multiply the bottom digit (multiplier) with the tens digit of the multiplicand. Here, 2 × 1 = 2. This will also be written along with with the product obtained in the previous step. So, this will give the product as, 13 × 2 = 26.

How to do 2-Digit by 2-Digit Multiplication?

2-digit by 2-digit multiplication is the process of multiplication where a 2-digit number is multiplied with another 2-digit number. For example, let us multiply 23 × 14.

• Place 23 on top and 14 below it so that 23 becomes the multiplicand and 14 becomes the multiplier.
• Multiply the ones digit of the multiplier with the multiplicand. Here, 23 is the multiplicand and the ones digit of 14 is 4. After multiplying 23 with 4 we get 23 × 4 = 92. This is the first partial product that will be placed in one line.
• Multiply the multiplicand with the tens digit of the multiplier. This means we will multiply 23 with 1 and it will be 23 × 1 = 23. It should be noted that we need to place a zero below the ones digit of the partial product and then write the second partial product next to it. (This 0 is placed here because we are actually multiplying 23 by 10 in this step.) So we get 230 here.
• Now we will add both the partial products to get the final product. This will be 92 + 230 = 322.
• Therefore, the final product is 23 × 14 = 322.

How to do 3-Digit by 2-Digit Multiplication?

3-digit by 2-digit multiplication means we multiply a 3-digit number with a 2-digit number. The rules that are followed for the multiplication of a 2-digit number with the other digit numbers apply to this multiplication as well. For example, let us multiply 243 × 45.

• We place the 3-digit number (243) on top and the 2-digit number (45) below it, so 243 becomes the multiplicand and 45 becomes the multiplier.
• Multiply the ones digit of the multiplier with the multiplicand. Here, 243 is the multiplicand and the ones digit of 45 is 5. After multiplying 243 with 5 we get 243 × 5 = 1215. This is the first partial product that will be placed in one line.
• Now, multiply the multiplicand with the tens digit of the multiplier. This means we will multiply 243 with 4 and it will be 243 × 4 = 972. We need to place a zero below the ones digit of the partial product and then write the second partial product next to it. So we get 9720 here.
• Now we will add both the partial products to get the final product. This will be 1215 + 9720 = 10935
• Therefore, the final product is 243 × 45 = 10935.

• Inspiration

2-Digit by 2-Digit Multiplication Games

SplashLearn offers a series of interactive experience games based on multiplying 2-digit by 2-digit numbers. These games are fun and help kids become accomplished and confident in mental math skills. The goal of these games is to practice the concepts of multiplication using arithmetic operations.

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Multiply the Two Digit Numbers Game

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

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.

Teach 2-Digit by 2-Digit Multiplication in a Fun Way

After your child has mastered multiplying single-digit numbers, strategically teaching them double-digit multiplication is the next building block in expanding their knowledge.

Children benefit from learning fundamental double-digit multiplication, which is a crucial skill used almost every day, from household activities to complex computations at work. Children begin by breaking down the multiplication process using the intriguing distributive property of multiplication, then work with area models to better grasp how the typical multiplication algorithm works.

Here are some of SplashLearn’s Multiply 2-digit by 2-digit Number Games:

• Complete the multiplication of two 2-digit numbers:  This game requires students to complete a set of challenging tasks, and they learn the concept of multiplication in the process. This game deals with finding the product of any random two-digit numbers. Students become familiar with the different ways of solving multiplication questions and gain confidence.
• Multiply two 2-digit numbers using place value:  In this game, students will multiply two 2-digit numbers using place value understanding, with and without regrouping. This is a good way to practise the concepts of multiplication and improve efficiency.
• Identify the missing digit in the product:  This game encourages students to apply their mathematical knowledge to find the missing number in the product. Students must fill in their answers, then press a button to submit them. A correct answer earns the student a point. If an answer is incorrect, students receive a warning message and must try again.
• The product of two 2-digit numbers:  Students will improve their skills in multiplication by solving the set of problems that the game poses. The difficulty level of problems increases as the player progresses through levels. This game helps students develop speed and accuracy in performing arithmetic operations.

Sign up at SplashLearn for its fun educational games on multiplying 2-digit by 2-digit numbers that ensure every child becomes proficient and confident in multiplication.

Your one stop solution for all grade learning needs.

Word Problems on Multiplication by 2-Digit Number

We will learn how to solve the word problems on multiplication by 2-digit number. Here we will apply the same process when we multiply a 2-digit number by a 2-digit number.

Solved examples:

1. There are 15 pencils in one packet. A shopkeeper has 60 such packets in his shop. How many pencils does he have in his shop?

Number of pencils in one packet = 15

Number of packets in the shop = 60

Therefore, total number of pencils in the shop = 60 × 15

                                                                   = 900 pencils

2.  A garland has 32 flowers. How many flowers are there in 45 such garland?

Number of flowers in a garland = 32

Number of garlands = 45 

Therefore, total number of flowers in 45 garlands = 45 × 32

                                                                        = 1440 flowers

3. There were 12 pencils in one packet. A shopkeeper has 98 such packets in h shop. How many pencils does he have in his shop?

Worksheet on Word Problems on Multiplication by 2-Digit Number:

1. A car can carry 6 people. How many people can 14 cars carry?

2. There are 21 erasers in one box. How many erasers are there in 49 boxes?

Answer: 1,029

3. One classroom has 84 chairs. How many chairs will 12 classrooms have?

Answer: 1,008

4. One truck can carry 222 bags of cement. How many bags of cement can 20 such trucks carry?

Answer: 4,440

5. One box contains 144 oranges. How many oranges do 57 boxes contain?

Answer: 8,208

6. There are 36 seats in one row. How many seats will there be in 33 rows?

Answer: 1,188

7. One packet contains 235 toffees. How many toffees 11 packets contain?

Answer: 2,585

8. One book has 372 pages. How many pages will 25 books have?

Answer: 9,300

9. Ajay earns 285 in a day. How much does he earn in 26 days?

Answer: 7,410

10. A basket contains 145 apples. How many apples are there in 8 such baskets?

Answer: 1,160

11. There are 136 trees in a row. How many trees are there in 46 rows?

Answer: 6,256

12. The capacity of a movie theater is 238 seats. If there were 28 full house shows in a week. How many people watched the movie?

Answer: 6,664

13. The price of a book is 232. Find the price of 42 such books?

Answer: 9,744

14. There are 116 beads in a chain. How many beads will be required to make 21 chains?

Answer: 2,436

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2-Digit Multiplication Word Problems Worksheets

• Number Sense >
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Our 2-digit multiplication word problems worksheets are the ideal tool for children to master the times table. All our two-digit times two-digit word problem pdfs contain phrases such as "each", "thrice", and "a group of" where students must comprehend lifelike scenarios and find solutions with accuracy. You can encourage them to begin by identifying the multiplicand and the multiplier before leaping in to find the product of double-digit numbers. Our word problems on multiplication worksheets are equipped with answer keys to double-check their results as well!

We suggest these printable resources for grade 4 and grade 5 students.

Related Printable Worksheets

▶ Multiplying 2-Digit by 2-Digit Numbers

▶ 2-Digit by 1-Digit Multiplication Word Problems

▶ 3-Digit by 1-Digit Multiplication Word Problems

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Multiplying 2-Digit by 2-Digit Numbers with Comma-Separated Thousands (A)

Welcome to The Multiplying 2-Digit by 2-Digit Numbers with Comma-Separated Thousands (A) Math Worksheet from the Long Multiplication Worksheets Page at Math-Drills.com. This math worksheet was created or last revised on 2016-08-31 and has been viewed 103 times this week and 192 times this month. It may be printed, downloaded or saved and used in your classroom, home school, or other educational environment to help someone learn math.

Teacher s can use math worksheets as test s, practice assignment s or teaching tool s (for example in group work , for scaffolding or in a learning center ). Parent s can work with their children to give them extra practice , to help them learn a new math skill or to keep their skills fresh over school breaks . Student s can use math worksheets to master a math skill through practice, in a study group or for peer tutoring .

Use the buttons below to print, open, or download the PDF version of the Multiplying 2-Digit by 2-Digit Numbers with Comma-Separated Thousands (A) math worksheet . The size of the PDF file is 27560 bytes . Preview images of the first and second (if there is one) pages are shown. If there are more versions of this worksheet, the other versions will be available below the preview images. For more like this, use the search bar to look for some or all of these keywords: math, multiplication, long, multiply, product, 2-digit, 2-digit .

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Multiply 2-Digit By 2-Digit Numbers Games for Kids

Immerse your child in a world of interactive Multiply 2-Digit By 2-Digit Numbers games online. Designed for kids, these games enhance dexterity and coordination while keeping the fun alive. From mind-bending challenges to thrilling activities, our games create an enjoyable learning experience. Get started today!

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Multiply the Two Digit Numbers Game

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

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.

Your one stop solution for all grade learning needs.