Convert between standard and expanded form
Let's stretch out numbers! 🤸♀️ 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! 🧪
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.