 # Multiplying Multi-Digit Numbers - Grade 4

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

Related 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 × 12 can be viewed as 3 × 10 and 3 × 2. How to multiply 2-digit by 2-digit numbers by breaking apart their arrays into easily manageable multipliers and finding partial products?
Example:
13 × 12
How to use the Area Array Model to simplify the multi-digit multiplication process?
Example:
54 × 18

### Multiplying using Expanded Form

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

Example:
You made 22 oatmeal cookies from one batch of mix. You make 3

Step 1:
Estimate First
I predict that I will make a little

Step 2:
Use base ten blocks to represent your problem. Step 3: Multiply showing the number of hundreds first or the number
of ones first Step 4: Compare the final product in step 3 with your estimate in step 1.

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

Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations. 