# 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

- Bеѕt Lарtорѕ for Teachers
- FREE 7th Grade FSA Math Practice Test
- Top 10 4th Grade STAAR Math Practice Questions
- How to Prepare for the SSAT Upper-Level Math Test?
- How to Compare Savings Options
- Top 10 4th Grade MEAP Math Practice Questions
- 5th Grade PSSA Math FREE Sample Practice Questions
- 5 Best Laptops for Math Teachers
- How to Graph an Equation in Point-Slope Form?
- How to Discover the Solutions: “HSPT Math for Beginners” Comprehensive Guide

## 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.