Sign Up
School Account Sign Up
Contributor: Elephango Editors. Lesson ID: 10614
What would happen if you s-t-r-e-t-c-h-e-d out a number like 7,890? Learn how to write numbers in expanded notation.
Stretch along while you watch!
That was fun!
Now, keep reading to find out what it really means to stretch out a number.
Exploring Expanded Notation
In the exciting world of numbers, a unique way to write them helps you understand them better. It's called expanded notation.
Dive in and discover how it works!
What Is Place Value?
Before embarking on your journey into expanded notation, make sure you're familiar with an important concept: place value.
Imagine numbers as houses on a street. Each digit in a number lives in its own place, and that place gives it its value.
For example, in the number 345, digit 3 lives in the hundreds place, digit 4 lives in the tens place, and digit 5 lives in the ones place.
Meet Expanded Notation
Now that you've got place value down, you're ready to explore expanded notation!
Think of it as a way to break down a number into its parts, like breaking a giant cookie into smaller crumbs. In expanded notation, you write each digit in a number according to its place value and add them up.
For example, the number 13,562 looks like this in expanded notation.
| Ten Thousands | Thousands | Hundreds | Tens | Ones | ||||||||
| 1 | 3 | 5 | 6 | 2 | ||||||||
| Place Value | ||||||||||||
| 10,000 | 3,000 | 500 | 60 | 2 | ||||||||
| Expanded Notation | ||||||||||||
| 10,000 | + | 3,000 | + | 500 | + | 60 | + | 2 | = | 13,562 | ||
That's the magic of expanded notation!
Review Expanded Notation
Watch the following video to review what you have learned!
When you are ready, head over to the Got It? section for some practice!
Supplies
FAVORITE
Like