How to Use Partial Products to Multiply One-Digit Numbers By Multi-digit Numbers
Partial products are another great strategy for simplifying multiplication problems, especially when multiplying one-digit numbers by multi-digit numbers.
A Step-by-step Guide to Using Partial Products to Multiply One-Digit Numbers By Multi-digit Numbers
Here’s a step-by-step guide on how to use the partial products method to multiply one-digit numbers via multi-digit numbers:
Let’s use an example of 4 x 123.
Step 1: Break down the multi-digit number
First, you need to break down the multi-digit number into its place values. In this case, 123 becomes \(100+20+3\).
The Absolute Best Book for 4th Grade Students
Step 2: Multiply the single-digit number with each part of the multi-digit number
Now, you multiply the single-digit number (in this case, 4) with each part of the multi-digit number:
- \(4×100=400\)
- \(4×20=80\)
- \(4×3=12\)
A Perfect Book for Grade 4 Math Word Problems!
Step 3: Add the products
Finally, you add up all of these products to get the answer:
\(400+80+12=492\)
So, \(4×123=492\)
This method is called the Partial Products method because you are finding the product of parts of the multi-digit number (the “partial products”) and then adding them together. This method helps students understand the concept of multiplication and the importance of place value. It can be a great stepping stone before learning more traditional multiplication algorithms.
The Best Math Books for Elementary Students
Related to This Article
More math articles
- The Ultimate 6th Grade TNReady Math Course (+FREE Worksheets)
- What Kind of Math Is on the CBEST Test?
- How much does the CBEST Test Cost?
- ACT Math Practice Test Questions
- The Unit Circle
- Ratio, Proportion and Percentages Puzzle – Challenge 26
- 5th Grade Georgia Milestones Assessment System Math Practice Test Questions
- A Comprehensive Collection of Free CHSPE Math Practice Tests
- How to Define Product-to-Sum and Sum-to-Product Formulas
- How to Using Decimals, Grid Models, and Fractions to Represent Percent
What people say about "How to Use Partial Products to Multiply One-Digit Numbers By Multi-digit Numbers - Effortless Math: We Help Students Learn to LOVE Mathematics"?
No one replied yet.