What is Expanded Form?
Numbers can be stretched out to show the value of each digit!
Expanded form breaks a number into parts that show how much each digit is worth. For example, 2,345 in expanded form is 2000 + 300 + 40 + 5. Today we'll learn how to put these parts back together into standard form!
How to Convert from Expanded Form
1️⃣ Identify each part's place value (thousands, hundreds, tens, ones)
2️⃣ Add all the parts together like putting puzzle pieces together
3️⃣ Write the final number in standard form
Let's Practice Together!
Example 1: The Treasure Chest
Captain Mathbeard found a treasure with:
Thousands
3000
Hundreds
500
Tens
20
Ones
7
What's the total number of gold coins? Let's add them up!
Example 2: Space Adventure
Astronaut Emma traveled:
4000
+
0
+
60
+
3
How many miles did she travel in total?
Parent Tips 🌟
- Use real objects: Separate 1,000 blocks, 100 flats, 10 rods, and 1-unit cubes to physically show expanded form conversion.
- Make it a game: Write expanded forms on index cards and have your child race to write the standard form.
- Connect to money: Use $10, $100, and $1,000 play money to demonstrate how amounts add up to make larger numbers.