Related Pages
Divide 2-digit numbers by 1-digit numbers
More Lessons for Grade 4 Math
Math Worksheets
These lessons help Grade 4 students learn how to multiply 2-digit numbers by 2-digit numbers. They include examples, solutions, videos, stories, and songs to help with multiplication skills.
Multiplying 2-digit numbers involves a systematic process, usually taught using the standard algorithm (sometimes called the traditional method or partial products method). This method breaks down the multiplication into simpler steps.
The following diagram shows how to multiply a 2-digit number by a 2-digit number. Scroll down the page for more examples and solutions on multiplying 2-digit numbers.
Printable & Online
Multiply by Multiples of 10 (eg. 6 x 30)
Multiplying Multiples of 10, 100, 1000 (eg. 70 x 400)
Multiply 3-digit by 1-digit (eg. 435 x 6)
Multiply Multi-digit by 1-digit (eg. 6,435 x 8)
Multiply 2-digit by 2-digit (eg. 35 × 24)
Multiply 3-digit by 2-digit (eg. 215 × 32)
Interactive
Multiply by Multiples of 10 (Sprint)
Multiplying by Multiples of 10
Multiply by Multiples of 10, 100, 1000 (Sprint)
Let’s illustrate the multiplication process with an example:
When you multiply 67 × 23, you’re essentially doing:
67 × 3 (multiplying by the ones digit)
Plus 67 × 20 (multiplying by the tens digit)
Steps for 2-Digit Multiplication:
Problem: 67 × 23
Step 1: Multiply the top number by the ones digit of the bottom number.
Multiply 67 × 3.
Start from the rightmost digit of the top number: 7 × 3 = 21.
Write down ‘1’ in the ones column.
Carry over the ‘2’ to the tens column.
Next, multiply the tens digit of the top number by the ones digit of the bottom number: 6 × 3 = 18.
Add the carried-over ‘2’: 18 + 2 = 20.
Write down ‘20’ to the left of the ‘1’. This gives you the first partial product: 201.
Step 2: Multiply the top number by the tens digit of the bottom number.
Before you start, place a zero in the ones column of the next row. This is because you are now multiplying by 20 (two tens), not just 2.
Clear any old carries from Step 1.
Now, multiply 67 × 2 (treating 2 as a digit, remembering the zero placeholder).
Start from the rightmost digit of the top number: 7 × 2 = 14.
Write down ‘4’ in the tens column (next to the 0).
Carry over the ‘1’ to the tens column.
Next, multiply the tens digit of the top number by the tens digit of the bottom number: 6 × 2 = 12.
Add the carried-over ‘1’: 12 + 1 = 13.
Write down ‘13’ to the left of the ‘4’. This gives you the second partial product: 1340.
Step 3: Add the two partial products.
Draw a line under the partial products and add them up.
So, 67 × 23 = 1541.
Multiplying 2 digit number by another 2 digit number with regrouping
Multiplication of two-digit numbers
Multiply 2 digits by 2 digits
Multiplying a 2-digit number by a 2-digit number
Tips for Success:
Try out our new and fun Fraction Concoction Game.
Add and subtract fractions to make exciting fraction concoctions following a recipe. There are four levels of difficulty: Easy, medium, hard and insane. Practice the basics of fraction addition and subtraction or challenge yourself with the insane level.
We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.