Multiplying Multi-Digit Numbers - Grade 4

In this lesson, we will learn how to multiply multi-digit numbers.
We will learn how to use patterns to multiply 10's and 100's.
We will learn how to multiply using arrays and using expanded form.

Related Topics:
More Lessons for Grade 4 Math

Multiplication Worksheets

Multiplication Games



Multiplying 10's and 100's

Multiplying Multi-Digit Numbers
Exploring Multiplication
Use patterns to multiply 10's and 100's



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





Multiplying Using Arrays

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

Example, 3 x 12 can be viewed as 3 x 10 and 3 x 2.

Multiply using Arrays

In this lesson, you will learn strategies for multiplying 2-digit by 1-digit numbers by breaking apart their arrays into easily manageable multipliers.



Use arrays to visualize easier ways to multiply







Multiplying using Expanded Form

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

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

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

Step 2:
Use base ten blocks to represent your problem.
Multiply Base Ten Blocks

Step 3: Multiply showing the number of hundreds first or the number
of ones first
Multiply Expanded Form

Step 4: Compare the final product in step 3 with your estimate in step 1.

Multiplying using Expanded Form
Multiply 2-digit numbers by 1-digit numbers using expanded form.





Multiplying 3-Digit Numbers
Muliply 3-digit numbers by 1-digit numbers using expanded form.



Multiplying using place value and expanded form with larger numbers to get products.







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