How to Use Partial Products to Multiply Two-Digit Numbers By Two-digit Numbers
Using the Partial Products method to multiply two-digit numbers helps you visualize the multiplication process.

A Step-by-step Guide to Using Partial Products to Multiply Two-Digit Numbers By Two-digit Numbers
Here’s a step-by-step guide to using the Partial Products method to multiply two-digit numbers. We’ll use the problem \(24×35\) as an example.
Step 1: Break down the numbers into tens and ones
The first step is to break down both numbers into their tens and ones:
- 24 is broken down into \(20+4\)
- 35 is broken down into \(30+5\)
The Absolute Best Book for 4th Grade Students
Step 2: Multiply each part of the first number with each part of the second number
Now, you multiply each part of the first number with each part of the second number:
- 20 (from 24) \(\times30\) (from 35) = 600
- 20 (from 24) \(\times5\) (from 35) = 100
- 4 (from 24) \(\times30\) (from 35) = 120
- 4 (from 24) \(\times5\) (from 35) = 20
A Perfect Book for Grade 4 Math Word Problems!
Step 3: Add up all the products
Finally, add up all these products to get the final answer:
\(600+100+120+20=840\)
So, \(24\times35=840\)
This method is called the Partial Products method because you are finding the product of parts of the numbers (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
- Digital Platforms: Revolutionizing Math Education
- The 5 BEST Online Math Tutoring Tools
- How to Calculate the Geometric Mean in Triangles
- 10 Most Common 5th Grade OST Math Questions
- How to Multiply and Divide Complex Numbers in Polar Form?
- How to Understand the Fundamental Properties of Parallelograms
- 4th Grade ACT Aspire Math Worksheets: FREE & Printable
- How to Find Reference Angles?
- Top 10 Tips You MUST Know to Retake the PERT Math
- Infinitely Close But Never There
What people say about "How to Use Partial Products to Multiply Two-Digit Numbers By Two-digit Numbers - Effortless Math: We Help Students Learn to LOVE Mathematics"?
No one replied yet.