Multiplication (Standard Algorithm)

Multiplication (3-digit x 3-digit)
This Multiplication (3-digit x 3-digit) is an interactive and engaging web-based application designed to help you practice your multiplication skills.
 
Multiplying two 3-digit numbers might seem daunting at first, but it is essentially just a series of smaller multiplication steps added together. This method is known as Long Multiplication or The Standard Algorithm. It 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 3-digit)
This game is designed to help you practice your Multiplication (3-digit x 3-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) Multiply by the hundreds digit. Enter the answer on the third line. The game has already placed “0"s in the ones and tens places.
   d) Add the three rows and enter the final answer in the fourth 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 3-Digit Multiplication
Multiplying two 3-digit numbers might seem daunting at first, but it is essentially just a series of smaller multiplication steps added together.
 
The Setup
Let’s use the example: 324 × 152
Step 1: Multiply by the Ones Place
Multiply the top number (324) by the digit in the ones place of the bottom number (2).
2 × 4 = 8
2 × 2 = 4
2 × 3 = 6
Result: 648
Step 2: Multiply by the Tens Place
Before multiplying by the tens digit (5), you must place a zero in the ones column of your second row. This acts as a placeholder because you are actually multiplying by 50, not just 5.
5 × 4 = 20 (Write 0, carry the 2)
5 × 2 = 10, plus the carried 2 = 12 (Write 2, carry the 1)
5 × 3 = 15, plus the carried 1 = 16
Result: 16,200
Step 3: Multiply by the Hundreds Place
Now multiply by the hundreds digit (1). This time, place two zeros as placeholders because you are multiplying by 100.
1 × 4 = 4
1 × 2 = 2
1 × 3 = 3
Result: 32,400
Step 4: Add the Partial Products
Finally, add all three rows together to get your final answer.648 + 16,200 + 32,400 = 49,248
 

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

• Show Video

 

Multiplication Games/Worksheets
Practice your Multiplication skills with the following games and worksheets.
Multiplication Games/Worksheets
 

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