Multiplication (Partial Products)
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This Multiplication (Partial Products) is a great way to put your multiplication skills to the test in a fun environment. This is a stepping stone to multi-digit multiplications.
Multiplication (Partial Products)
This Multiplication (Partial Products) is an interactive and engaging web-based application designed to help you practice your multiplication skills.
Multiplication using partial products is a method where you break down each number into its place values, multiply the parts separately, and then add up the results. This method helps visualize the multiplication process and is often used as a stepping stone to the standard multiplication algorithm. Scroll down the page if you need a more detailed explanation.
This Multiplication (Partial Products) Game has an option to give a guide for the partial products.
Partial Products
2-Digit x 2-Digit Multiplication
Partial Products
Score: 0 / 0
How to Play the Multiplication (Partial Products)
The game is designed to help you practice your Multiplication (Partial Products) skills in a fun environment.
Here’s how to play:
- Step-by-step Guide: Check the Guide if you want a guide for each partial product. Click “Start Game”.
- Look at the Problem: You’ll see two numbers at the top of the purple box. Your goal is to multiply them.
- Enter the Partial Products: Type in the partial products. Add them up to get the total.
- Check Your Work: Click the yellow Check button (or press the Enter key). The game will tell you if you’re correct. If you are wrong, you will be shown which of the answers are wrong.
- Get a New Problem: Click the blue Next button (or press Enter again) for a new multiplication problem.
Your score is tracked at the top, showing how many you’ve gotten right out of the total you’ve tried. - Back to Menu Click “Back to Menu” to restart the game.
Multiplication using Partial Products
Partial products is a multiplication method that breaks down a multi-digit multiplication problem into simpler, smaller parts based on the place value of each digit. It’s often taught to help students build a conceptual understanding of multiplication before learning the standard algorithm.
The core idea is to multiply each digit of one number by each digit of the other number, keeping their place values in mind. These individual results are called “partial products.” The final answer, or the “total product,” is then found by adding all the partial products together.
Here’s how it works:
Let’s use an example to illustrate the process: 24×36
- Break down the numbers.
Separate each factor into its expanded form based on place value.
24 becomes 20+4.
36 becomes 30+6. - Multiply each part.
Multiply each part of the first number by each part of the second number. This will give you four partial products for a two-digit by two-digit problem.
Multiply the tens place of the first number by the tens and ones places of the second number:
20×30=600
20×6=120
Multiply the ones place of the first number by the tens and ones places of the second number:
4×30=120
4×6=24 - Add the partial products.
Take all the partial products you calculated in the previous step and add them together to get the final answer.
600+120+120+24=864
So, the product of 24×36 is 864. The partial products method makes it clear how each part of the numbers contributes to the final result, reinforcing the concept of place value.
The video gives a clear, step-by-step approach to walk through the process of multiplying a 2-digit number by 2-digit number using partial products.
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