How to Use Expanded Form to Multiply One-Digit Numbers By 3-digit or 4-digit Numbers
Expanded form is a great way to simplify multiplication problems, especially when you're multiplying one-digit numbers with larger numbers.
A Step-by-step Guide to Using Expanded Form to Multiply One-Digit Numbers By 3-digit or 4-digit Numbers
Here is a step-by-step guide to Using Expanded Form to Multiply One-Digit Numbers Via 3-digit or 4-digit Numbers:
Example: Multiply 3 by 456 (a 3-digit number)
Step 1: Understand the problem
You are given the task of multiplying 3 by 456.
The Absolute Best Book for 4th Grade Students
Step 2: Write the larger number in expanded form
The larger number (456) needs to be written in its expanded form. This means breaking it down into hundreds, tens, and ones:
\(456=400+50+6\)
Step 3: Multiply each component by the one-digit number
Now, multiply each part of the expanded number by 3:
\(3\times400 = 1200 3\times50 = 150 3\times6 = 18\)
A Perfect Book for Grade 4 Math Word Problems!
Step 4: Add all of the products together
Next, add together the products from step 3:
\(1200+150+18=1368\)
So, \(3\times456 =1368\)
Using the expanded form method makes multiplication easier to understand and solve, particularly with larger numbers. It’s an excellent tool for students in grade 4 or anyone looking to develop their basic multiplication skills.
The Best Math Books for Elementary Students
Related to This Article
More math articles
- How to Graph Quadratic Inequalities? (+FREE Worksheet!)
- How to Solve Scale Drawings Word Problems
- FREE 4th Grade FSA Math Practice Test
- Complete Guide to Foundational Vector Operations: Addition, Scaling, and More
- Fundamentals of Geometry: The Concept of Lines, Rays, and Angles
- 8th Grade Georgia Milestones Assessment System Math FREE Sample Practice Questions
- What Are the Applications of the Law of Sines?
- How to Understand the Fundamental Properties of Parallelograms
- Estimating and Rounding
- Top 10 3rd Grade PARCC Math Practice Questions
What people say about "How to Use Expanded Form to Multiply One-Digit Numbers By 3-digit or 4-digit Numbers - Effortless Math: We Help Students Learn to LOVE Mathematics"?
No one replied yet.