Convert between standard and expanded form
Let's stretch out numbers! π€ΈββοΈ Standard form is the normal way we write numbers (like 53). Expanded form is when we pull it apart to show the value of each digit (like 50 + 3). It's like seeing the number's secret ingredients! π§ͺ
Do this: Read the concept below, then try the quiz or activity.
Concept
Numbers can be written in different ways. Understanding standard form and expanded form helps us see the true value of each digit in a number.
Standard Form vs. Expanded Form * Standard Form: This is the number written as you normally see it. Example: 147. * Expanded Form: This is the number 'stretched out' into an addition sentence, showing the value of each digit. Example: 100 + 40 + 7.
How to Go from Standard to Expanded Form: Let's take the number 385. 1. Look at the hundreds digit: The 3 is in the hundreds place, so its value is 300. 2. Look at the tens digit: The 8 is in the tens place, so its value is 80. 3. Look at the ones digit: The 5 is in the ones place, so its value is 5. 4. Write it as an addition sentence: 385 = 300 + 80 + 5.
How to Go from Expanded to Standard Form: Let's take 600 + 20 + 9. 1. Simply add the numbers together! The easiest way is to line them up by place value. 2. The number is 629.
Key Idea: Expanded form breaks a number down to its building blocks: hundreds, tens, and ones. It helps you understand that the '4' in 45 is actually '40', not just '4'.
Try it
Practice: Convert between standard and expanded form.