Place value is the value of each digit in a number based on its position. In numbers up to 1000, digits can be in the ones, tens, hundreds, or thousands place. Where a digit sits in the number determines its actual value.
1. Ones Place (1s)
- Position: Rightmost digit
- Value: The digit itself (1-9)
- Example: In 7, the digit 7 means 7 ones
2. Tens Place (10s)
- Position: Second from the right
- Value: Digit × 10
- Example: In 34, the 3 means 3 tens (30)
3. Hundreds Place (100s)
- Position: Third from the right
- Value: Digit × 100
- Example: In 526, the 5 means 5 hundreds (500)
4. Thousands Place (1000s)
(Note: While we’re focusing on numbers up to 1000, this is included for context)
- Position: Fourth from the right
- Value: Digit × 1000
- Example: In 2,345, the 2 means 2 thousands (2000)
Place Value Chart (Up to 1000)
| Number | Hundreds (100s) | Tens (10s) | Ones (1s) | Expanded Form |
|---|---|---|---|---|
| 8 | 0 | 0 | 8 | 8 |
| 24 | 0 | 2 | 4 | 20 + 4 |
| 179 | 1 | 7 | 9 | 100 + 70 + 9 |
| 350 | 3 | 5 | 0 | 300 + 50 |
Examples of Place Value
Example 1: 63
- 6 is in the tens place → 6 × 10 = 60
- 3 is in the ones place → 3 × 1 = 3
- Total: 60 + 3 = 63
Example 2: 428
- 4 is in the hundreds place → 4 × 100 = 400
- 2 is in the tens place → 2 × 10 = 20
- 8 is in the ones place → 8 × 1 = 8
- Total: 400 + 20 + 8 = 428
Example 3: 900
- 9 is in the hundreds place → 9 × 100 = 900
- 0 in tens and ones places means no extra value
- Total: 900
Example 4: 742
1. The Ones Place (2)
- Position: Far right digit
- Visual: 🟢🟢 (two single blocks)
- Value: 2 × 1 = 2
- Real-world example: 2 individual marbles in your pocket
2. The Tens Place (4)
- Position: Middle digit
- Visual: 🔷🔷🔷🔷 (each = 10 blocks)
- Value: 4 × 10 = 40
- Real-world example: 4 full rolls of dimes (10¢ each) = 40¢
3. The Hundreds Place (7)
- Position: Far left digit
- Visual: 🟥🟥🟥🟥🟥🟥🟥 (each = 100 blocks)
- Value: 7 × 100 = 700
- Real-world example: 7 hundred-dollar bills in your wallet
When we combine all place values:
700 (hundreds) + 40 (tens) + 2 (ones) --------- = 742
Remember: Just like letters form words, digits form numbers—and their position matters! With practice, you’ll see place value everywhere, from game scores to prices at the store. Keep exploring, and soon big numbers will feel easy!