Multiplication (Standard Algorithm)

Multiplication (3-digit x 2-digit)
This Multiplication (3-digit x 2-digit) is an interactive and engaging web-based application designed to help you practice your multiplication skills.
 
The Standard Algorithm is the most efficient way to multiply, but it requires careful “bookkeeping” with regrouping (carrying) and placeholders. Scroll down the page if you need a more detailed explanation.

 

 

How to Play the Multiplication Game (3-digit x 2-digit)
This game is designed to help you practice your Multiplication (3-digit x 2-digit) skills in a fun environment. It has two levels of difficulty: “No Regrouping” and “With Regrouping”.
Here’s how to play:

1. Select Difficulty: Select “No Regrouping” or “With Regrouping”.
   
2. Enter Your Answer:
   a) Multiply by the ones digit. Enter the answer on the first line from right to left. Typing a number automatically moves the cursor to the next column to the left. If you chose regrouping then be careful to regroup when necessary. You can put the carry digit at the top of the number to help you remember. (Take note that the game will not check your carry digit)
   b) Multiply by the tens digit. Enter the answer on the second line. The game has already placed a “0” in the ones place.
   c) Add the two rows and enter the final answer in the third row.
   
3. Check Your Work: Click the green Check button (or press the Enter key). The game will tell you if you’re correct. If you are wrong, you will be asked to try again.
   
4. Get a New Problem: Click the Next button (or press Enter again) for a new addition problem.
   Your score is tracked at the top, showing how many you’ve gotten right out of the total you’ve tried.
    
   

3-Digit by 2-Digit Multiplication
Multiplying a 3-digit number (the multiplicand) by a 2-digit number (the multiplier) follows the same logic as smaller problems: you multiply the top number by the ones, then by the tens, and add them together.
 
The Setup
Let’s use the example: 347 × 25
Step 1: Multiply the Top Number by the Ones
347 × 5
We ignore the 2 for a moment and focus only on the 5.
5 × 7 = 35: Write 5, carry the 3 over the tens (4).
5 × 4 = 20: Add the carried 3 (20+3=23). Write 3, carry the 2 over the hundreds (3).
5 × 3 = 15: Add the carried 2 (15+2=17). Write 17.
First Partial Product: 1,735
Step 2: The Placeholder Zero
Before you start multiplying by the 2, you must place a 0 in the ones column of the next row. This is because the 2 is actually 20.
Tip: Remove the old carry numbers (3 and 2) from Step 1 so you don’t accidentally add them again.
Step 3: Multiply the Top Number by the Tens
347 × 2
Now multiply the 2 by every digit in 347, moving right to left.
2 × 7 = 14: Write 4 (to the left of your 0), carry the 1 over the tens (4).
2 × 4 = 8: Add the carried 1 (8+1=9). Write 9.
2 × 3 = 6: Nothing to add. Write 6.
Second Partial Product: 6,940
Step 4: Add the Results Line up your two partial products and add them together.
Final Answer: 347 × 25 = 8,675

 

The video gives a clear, step-by-step approach to walk through the process of multiplying a 3-digit number by 2-digit number using Standard Algorithm.

• Show Video

 

Free Multiplication Games
Multiplication Tables Practice	Multiplication Tables	Multiply Tens & Hundreds
Find missing Factors	2-digit x 1-digit (no regrouping)	2-digit x 1-digit (with regrouping)
Multiplication (Area Model)	2-digit x 2-digit

 

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.