Multiply 2-digit numbers by 2-digit numbers


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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.




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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.

2 Digit Multiplication
 

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

  1. Multiply by the one’s place.
  2. Put a zero to hold the ones’ place.
  3. Multiply by the number in the ten’s place.
  4. Add the numbers together.



Multiplication of two-digit numbers

Multiply 2 digits by 2 digits

Multiplying a 2-digit number by a 2-digit number

Tips for Success:

  • Master basic multiplication facts: This is the foundation. If you know your times tables well, the process will be much faster and less prone to errors.
  • Understand place value: Knowing why you put a zero in the second row is crucial. You’re multiplying by tens, not just ones.
  • Be neat and organized: Line up your numbers carefully in columns (ones under ones, tens under tens, etc.). This helps prevent addition errors in the final step.
  • Practice carrying over: Keep track of your carries, perhaps by writing them lightly above the next digit or in a different color.


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Fraction Concoction Game



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