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.

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Related Pages:
Grade 3 Multiplication
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.
Multiply using Arrays

How to multiply 2-digit by 2-digit numbers by breaking apart their arrays into easily manageable multipliers and finding partial products?

13 × 12

How to use the Area Array Model to simplify the multi-digit multiplication process?

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.

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.
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
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.
Mathway Calculator Widget

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