Multiplication of Large Numbers


Multiplication of Large Numbers teaches students how to use the standard algorithm to multiply numbers with multiple digits. Students will learn a couple of tips to help them set up their problems in a way that makes them easier to solve. The lesson provides many examples and opportunities for students to practice what they learned. Students will be able to use a calculator to check their answers.

The “Options for Lesson” section offers a few suggestions or alternatives that you can employ as you deliver this lesson plan. For instance, you may want to reinforce the cumulative property of multiplication at this time and allow students to use both this property and a calculator to check their work. You might also choose to put students in groups with different multiplication parameters to allow for some differentiation.

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What our Multiplication of Large Numbers lesson plan includes

Lesson Objectives and Overview: Multiplication of Large Numbers teaches students to multiply numbers with two or more digits using a standard method. Students will be able to use a calculator to check their work. Students should already know the basics of multiplying and will draw upon previous knowledge to help them in this lesson. By the end of the lesson, they should be able to multiply large numbers easily and fluently.

There are two pages of content that explain how to use the standard algorithm to multiply large numbers. There are two tips on the first content page that you can explain before the students begin. One is to always write the number with the most digits on the top if they do not have the same number of digits. The second tip is to align the numbers to the final digit.

The lesson then proves several examples of how to set up these problems. It explains each step one by one. At one point, it describes the zero placeholder. This is an important feature of multiplication. Students must understand this piece of information to successfully multiply numbers with multiple digits. You can take your time explaining this part to ensure they understand how zero placeholders work.


For the activity worksheet, you will need to provide a number of cards with different numbers on them. Students will write down two numbers from the cards and multiply them together. There are six blanks on the worksheet. They will repeat this task five more times to fill in each empty square.


The practice worksheet is similar to the activity worksheet. However, there are nine boxes with two numbers already written. Students will multiply each pair of numbers using the standard method and show their work in the available space.


Similar to the practice, students will have to multiply nine pairs of numbers. However, they will first need to arrange the two numbers so that the one with more digits is at the top. This way, they can more easily calculate the right answer using the standard algorithm.

Additional information


5th Grade



State Educational Standards


Lessons are aligned to meet the education objectives and goals of most states. For more information on your state objectives, contact your local Board of Education or Department of Education in your state.