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 Pages:**

Grade 3 Multiplication

More Lessons for Grade 4 Math

Multiplication Worksheets

Multiplication Games

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?**

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

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 × 22 is about 3 × 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.**

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.

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

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