multiplying 2 digit by 2 digit problem solving

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2 Digit Multiplication Worksheets

Welcome to our 2 Digit Multiplication Worksheets page. We have plenty of worksheets on this page to help you practice the skills of multiplying 2-digit numbers by 2 digits.

There are also step-by-step instructions and some worked examples to help you master this skill.

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• How to Multiply two 2-Digit Numbers

2 Digit Multiplication Worked Examples

2 digit multiplication video, 2-digit multiplication worksheets.

• 2-Digit by 2-Digit Multiplication Challenges
• Easier/Harder Worksheets
• More Recommended Math Resources

We have a range of resources on this page to help you learn to multiply 2-digit by 2-digit numbers.

There are pratice worksheets, worked examples and a video to help you learn this skill.

As well as standard multiplication worksheets, we have a range of extra challenges for students who are already confident with 2-digit multiplication.

These sheets are aimed at 4th grade (or similar level) students.

Before you learn to multiply two 2-digit numbers, you should be confident multiplying a 2-digit number by a single digit .

How to Multiply two 2-digit numbers

How to multiply a 2-digit number by a 2-digit number.

In this example, we are working out 39 x 25.

Step 1) Multiply the ones digit of the first 2-digit number (at the top) and the ones digit of the second 2-digit number together.

• Write the number of ones below the line in the ones place.
• Carry over any tens and write them above the first 2-digit number in the tens place.

5 x 9 = 45. Write the 5 below the line in the ones place. Carry over 4 tens.

Step 2) Multiply the tens digit of the first 2-digit number and the ones digit of the second 2-digit number together, adding on any tens that you carried over.

• Write the number below the line in the tens place (or in the hundreds and tens place if the answer has 2 digits).

5 x 3 = 15. 15 + 4 = 19. Write the 1 in the hundreds place and 9 in the tens place below the line.

We have now worked out: 39 x 5 = 195.

Step 3) We now have to work out 39 x 20. Put a 0 in the ones place underneath the 5. This is a placeholder because we are multiplying by tens. Cross out any numbers which were carried over so that we do not confuse them with the next steps.

Step 4) Multiply the ones digit of the first number and the tens digit of the second number together.

• Write the number below the line in the tens place carrying over any tens above the tens digit of the first number.

2 x 9 = 18. Write the 8 in the tens place to the left of the 0 we wrote in Step 3) and carry over 1 above the tens digit of the first number.

Step 5) Multiply the tens digit of the first number and the tens digit of the second number together, adding on any numbers that we carried over.

2 x 3 = 6. 6 + 1 = 7. Write the 7 in the hundreds place to the left of the 8 we wrote in Step 3).

We have now worked out: 39 x 20 = 780.

Step 6) Finally we have to add up the answers from the two multiplications we have just worked out.

We need to add up 195 and 780 (the answers from 39 x 5 and 39 x 20) to find 39 x 25.

Adding the two numbers using the standard method gives us:

Our final answer is 39 x 25 = 975.

Example 1) Work out 37 x 13.

3 x 7 = 21. Write the 1 in the ones column underneath the line. Carry the 2 tens into the tens column above the number 3.

Write the answer below the tens digit.

3 x 3 = 9. 9 + 2 = 11. Write the 1 in the hundreds place and 1 in the tens place below the line.

This tells us that 37 x 3 = 111.

Step 3) We now have to work out 37 x 10. Put a 0 in the ones place underneath the 1. Cross out the '2' which we carried over so that we do not confuse it in the next steps.

1 x 7 = 7. Write the 7 in the tens place to the left of the '0' we have just written.

1 x 3 = 3. Write the 3 in the hundreds place to the left of the '7' we have just written.

This tells us that 37 x 10 = 370.

Step 6) We now have to add up the two answers from the two multiplications we have just worked out.

We need to add up 111 and 370.

Adding the two numbers using the standard algorithm gives us:

This gives us a final answer of: 37 x 13 = 481

Example 2) Work out 46 x 35.

5 x 6 = 30. Write the 0 in the ones column underneath the line. Carry the 3 tens into the tens column above the number 4.

5 x 4 = 20. 20 + 3 = 23. Write the 2 in the hundreds place and 3 in the tens place below the line.

This tells us that 46 x 5 = 230.

Step 3) We now have to work out 46 x 30. Put a 0 in the ones place underneath the 1 to use as a placeholder. Cross out the '3' which we carried over so that we do not confuse it in the next steps.

3 x 6 = 18. Write the 8 in the tens place to the left of the '0' we have just written. Carry the 1 over and write it above the 3 we crossed out.

3 x 4 = 12. 12 + 1 = 13. Write the 1 in the thousands place and 3 in the hundreds place to the left of the '8' we have just written.

This tells us that 46 x 30 = 1380.

We need to add up 230 and 1380.

This gives us a final answer of: 46 x 35 = 1610

Example 3) Work out 79 x 28.

8 x 9 = 72. Write the 2 in the ones column underneath the line. Carry the 7 tens into the tens column above the number 7.

8 x 7 = 56. 56 + 7 = 63. Write the 6 in the hundreds place and 3 in the tens place below the line.

This tells us that 79 x 8 = 632.

Step 3) We now have to work out 79 x 20. Put a 0 in the ones place underneath the 2 to use as a placeholder. Cross out the '7' which we carried over so that we do not confuse it in the next steps.

2 x 9 = 18. Write the 8 in the tens place to the left of the '0' we have just written. Carry the 1 over and write it above the 7 we crossed out.

2 x 7 = 14. 14 + 1 = 15. Write the 1 in the thousands place and 5 in the hundreds place to the left of the '8' we have just written.

This tells us that 79 x 20 = 1580.

We need to add up 632 and 1580.

This gives us a final answer of: 79 x 28 = 2212

We have created a short video to show you how to multiply two 2-digit numbers.

In the video, you will see:

• four different examples of 2 digit multiplication
• step-by-step instructions

These sheets are aimed at 4th graders.

Sheet 1 involves 2-digit by 2-digit multiplication with smaller numbers and answers up to 1000.

Sheets 2 to 4 have harder 2-digit numbers to multiply and answers that are generally larger than 1000.

• 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

2 Digit Multiplication Challenges

These 2-digit multiplication worksheets have been designed for more able students who need that extra challenge!

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

Looking for some easier Multiplication Worksheets?

These sheets are aimed at 3rd graders.

We have a range of 2-digit by 1-digit multiplication worksheets and challenges available on our 3rd grade multiplication page.

There are also some worked examples and support to help you master this skill.

2 Digit by 1 Digit Multiplication

• Multiplication Worksheets for 3rd Grade 2-digits by 1-digit

Looking for some harder Multiplication Worksheets?

We have more 2-digit multiplication worksheets, including 2-digit x 3-digit multiplication problems on this page.

• More Double digit Multiplication Worksheets (harder)

More Recommended Math Worksheets

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

• Multi-Digit Multiplication Worksheet Generator

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

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

• Single Digit Multiplication Worksheets Generator

Multiplication Table Worksheets

Here you will find a range of Multiplication Worksheets to help you become more fluent and accurate with your tables.

Using these sheets will help your child to:

• learn their multiplication tables up to 10 x 10;
• understand and use different models of multiplication;
• solve a range of Multiplication problems.

All the free 3rd Grade Math Worksheets in this section are informed by the Elementary Math Benchmarks for 3rd Grade.

Online Times Table Practice

• Times Tables Practice Zone

Understanding Multiplication

• Understanding Multiplication Facts Worksheets to 10x10
• Multiplication Table Worksheets - 2 3 4 5 10
• Multiplication Drill Sheets 6 7 8 9
• Fun Multiplication Worksheets to 10x10
• Circle Times Tables Worksheets 1 to 10 tables
• Times Table Worksheets Circles 1 to 12 tables

Multiplication Word Problems

• Multiplication Word Problem Worksheets 3rd Grade
• Multiplication Word Problems 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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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.

2-digit × 2-digit Multiplication Worksheets (printable & online)

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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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.

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Multiply 2 x 2 digits

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2-digit multiplication

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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.

Before You Leave…

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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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Multiply 2-Digit by 2-Digit without Regrouping Worksheet

Focus on core math skills by solving to multiply 2-digit by 2-digit numbers without regrouping..

Know more about Multiply 2-Digit by 2-Digit without Regrouping Worksheet

Building a strong foundation in multiplication is an important step in helping your child become proficient and confident. The worksheet challenges students to solve a set of problems on multiplication . These engaging problems encourage them to apply their prior knowledge of the topic and find the product. At this stage, students will work with 2-digit numbers.

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2-Digit Multiplication Word Problems Worksheets

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Our free 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 Various Decimal Places (A)

Welcome to The Multiplying 2-Digit by 2-Digit Numbers with Various Decimal Places (A) Math Worksheet from the Decimals Worksheets Page at Math-Drills.com. This math worksheet was created or last revised on 2018-01-17 and has been viewed 19 times this week and 6,120 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.

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12 Easy Math Tricks You’ll Wish You’d Known This Whole Time

Making math quick with these tricks.

J uggling numbers isn't everyone's forte—even though math manages to sneak its way into our everyday lives. Fortunately, these easy-to-remember math tricks will be your best friend next time you're faced with a tricky equation and don't have a calculator handy. Also, don't miss these math lessons you'll actually end up using in real life.

Finding a 20 percent tip

Did you enjoy your dining service? Leave your server a 20 percent tip with this easy math trick. According to Kate Snow, author of The Math Facts That Stick series, all you have to do is divide your check amount by five. For example, if your check comes to $85, divide that by five and your 20 percent tip will be $17. For more on tipping, here's our guide on how much to tip in every situation.

Multiplying two-digit numbers by 11

Multiplying two-digit numbers by 11 is a breeze with this clever trick from math.hmc.edu. Simply add the two digits together and place the sum in the middle. For example, if you're multiplying 25 by 11, add the two and five together to get seven, and place the seven between those two numbers to find the final answer, which is 275.

To double a large number, multiply each individual number by two and add them together. Snow suggests starting from the left to make it easier to keep track of the numbers. "For example, to double 147, start with the hundreds place. Double 100 is 200. Double 40 is 80. Double seven is 14. Add them all up (200 plus 80 plus 14) and you get 294," says Snow. If you think you're a math expert, try out these hard math problems .

Multiplying numbers that end in zero

Even equations involving large, intimidating numbers that end in zero can be easily solved with this handy trick. According to education.cu-portland.edu, just exclude the zeros from the equation, then add them back in afterward. For example, if you're multiplying 600 by 400, exclude the zeros and solve for six times four, which is 24. After, count the total number of zeros that were in the original equation and tack them onto the number you solved for to find your final answer. Since there were four zeros in the original equation, your final answer for this example is 240,000. This is how mental math works.

Multiplying by nine

If you don't have your nines times table memorized, not to worry. According to Snow, to multiply by nine, simply multiply the number by 10 first, then subtract the original number. For example, if you need to multiply nine by 23, multiply 23 by 10 to find 230. Then, subtract 23 from 230 to find your final answer of 207. We know, math can be a headache—but these clever math jokes are even hilarious to non-mathematicians.

Dividing by 10, 100, or 1,000

To divide a number by 10, all you need to do is move the decimal place one spot to the left of the original number to find your answer, according to Snow. To divide by 100, the same idea applies, except you'll move the decimal place two spots to the left of the original number. As for dividing by 1,000, move the decimal place three spots to the left. For example, if you're dividing 42.94 by 10, you simply move the decimal place one spot to the left to find your final answer of 4.294.

Multiplying by 10, 100, or 1,000

Similar to how you divide a number by 10, 100, or 1,000, Snow says you'll need to do the opposite to multiply by them. To multiply a number by 10, move the decimal place one spot to the right. To multiply a number by 100, move the decimal place two spots to the right. To multiply a number by 1,000, move the decimal place three spots to the right. For example, if you need to multiply 366.78 by 100, shift the decimal place two spots to the right to find your final answer of 36,678. By the way, if you can solve this math problem on the first try, you might be a genius.

Turning a repeating fraction into a decimal

According to businessinsider.com, there are three steps you'll need to follow to easily turn a repeating decimal into a fraction. First, find the number that is repeating. For example, in the number 0.636363…, 63 is the repeating number. Then, figure out how many places that number has. In this example, 63 has two places. Finally, divide the repeating number by a number that has the same amount of places made up by nines, which would be 99 in this case. Reduce the fraction of 63/99 to 7/11—and done.

Multiplying by 25

Not everyone has their 25 times table memorized, but that's not a problem when you think of each group of 25 as a quarter. "If you had 17 quarters, how much money would you have? Every four quarters make a dollar, so 16 of the quarters equals four dollars or 400 cents. The extra quarter adds 25 cents, for a total of 425 cents," Snow explains.

Squaring numbers that end in five

This math trick requires two steps, says Snow. In order to square a number that ends in five, take the first digit of the number and multiply it by itself. After, add the result to itself for the answer. For example, if you're multiplying 35 by 35, take the three and multiply it by itself, which is nine, then add three to that answer, which is 12. Finally, add the number 25 to the end of the number you found and that is the final answer: 1,225. Feeling like a math expert? Put your skills to the test and try to pass this elementary school math test .

Subtracting by adding

If you find addition to be a little easier than subtraction, this trick is for you. If you are dealing with subtracting two numbers that are fairly close together, try solving the equation by adding instead. "Instead of trying to take away 327 from 334, think of it as '327 plus how many more equals 334?'" says Snow.

If you're trying to figure out exactly how much your groceries will cost when most of the items end in .99 cents, no calculator is necessary. All you have to do is add 100 instead of 99 and then subtract one. Snow explains this process with the example 176 plus 199 equals 375. "176 plus 200 equals 376," she says. "Since you added one more than you need, subtract one from 276 to find the answer: 275."

• Kate Snow , author of The Math Facts That Stick series
• CU-Portland.edu: "10 Tricks for Doing Fast Math"
• Business Insider : "10 Mental Math Tricks That Will Make You Wildly Popular At Parties"

The post 12 Easy Math Tricks You’ll Wish You’d Known This Whole Time appeared first on Reader's Digest .

Spring Multiplication Rainbow Mystery Picture Math Activity - 2 Digit by 1 Digit

• Easel Activity

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Description

Students will love multiplying 2 digit by 1 digit numbers this spring with this highly engaging rainbow mystery picture. This mystery picture is a creative way to practice 2 digit by 1 digit multiplication, it can be completed independently and is self-checking. Your students will love completing this fun rainbow color by code math activity.

Students solve twenty 2 digit by 1 digit multiplication problems before coloring by code on a random numbers, number chart to complete a rainbow mystery picture. This activity is great for:

Math Centers

Early Finishers

The following Common Core Standard is included:

4.NBT.B.5 - Multiply a whole number of up to four digits by a one-digit whole number

What's included:

➯ 1 printable PDF includes 1 activity, 1 answer sheet, 1 complete mystery picture, along with a pre-prepared TPT Easel file, ready to assign online.

★ Related product:

✔ Spring Mystery Picture Cherry Blossom 2 Digit by 1 Digit Multiplication Activity

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