Solved Examples: Representing 3-Digit Numbers with Blocks and Expanded Form

📚 Quick Study Guide

• 🧱 Base-Ten Blocks: Represent numbers using hundreds, tens, and ones blocks. A hundred block is a square, a ten block is a rod, and a ones block is a small cube.
• 📝 Place Value: Understand that in a 3-digit number, the rightmost digit is the ones place, the middle digit is the tens place, and the leftmost digit is the hundreds place.
• ➕ Expanded Form: Break down a number into the sum of its place values. For example, the expanded form of 345 is $300 + 40 + 5$.
• 💡 Writing Numbers: A number like 237 is written as two hundred thirty-seven.

🔢 Practice Quiz

1. What number is represented by 2 hundreds blocks, 3 tens blocks, and 5 ones blocks?
   1. 105
   2. 235
   3. 325
   4. 532
2. Which of the following represents the expanded form of 462?
   1. $40 + 6 + 2$
   2. $400 + 6 + 2$
   3. $400 + 60 + 2$
   4. $4 + 60 + 200$
3. If you have 1 hundred block, 8 tens blocks, and 0 ones blocks, what number do you have?
   1. 18
   2. 108
   3. 180
   4. 81
4. What blocks would you use to represent the number 507?
   1. 5 hundreds, 7 tens
   2. 5 hundreds, 7 ones
   3. 5 tens, 7 hundreds
   4. 5 ones, 7 hundreds
5. Which number has the expanded form $700 + 20 + 9$?
   1. 72
   2. 729
   3. 927
   4. 279
6. You have 3 hundreds blocks and 4 ones blocks. What number are you representing?
   1. 34
   2. 304
   3. 403
   4. 340
7. What is the value of the digit '6' in the number 681?
   1. 6
   2. 60
   3. 600
   4. 681