In our number system, the position of a digit tells us its value. The same digit can mean different amounts depending on where it sits. The digit 5 could mean 5, 50, 500, or 5000!
π Place Value Chart
| Thousands | Hundreds | Tens | Ones |
|---|---|---|---|
| 1000 | 100 | 10 | 1 |
| Thousands | Hundreds | Tens | Ones |
|---|---|---|---|
| 3 | 4 | 7 | 2 |
| 3000 | 400 | 70 | 2 |
3,472 = 3000 + 400 + 70 + 2
π‘ Key Ideas
- Each place is 10 times bigger than the place to its right
- Each place is 10 times smaller than the place to its left
- Zero is a placeholder β it shows there are none in that place
- Reading from left to right: biggest place β smallest place
π΅ Decimals
| Ones | . | Tenths | Hundredths |
|---|---|---|---|
| 1 | . | 0.1 | 0.01 |
= 4 ones + 7 tenths + 3 hundredths
= 4 + 0.7 + 0.03
βοΈ Activities
What is the value of the underlined digit?
- 584 β The 8 is worth ___
- 2,156 β The 2 is worth ___
- 7,369 β The 6 is worth ___
- 4.52 β The 5 is worth ___
Expand this number: 6,845 = ___
π©βπ« Teacher Notes
- Mathematics: Number β place value