Quiz Entry - updated: 2026.07.14
What is positional notation and how does it apply to the decimal (base 10) system?
Positional notation means a digit's value depends on its position; in base 10 each position is a power of 10 (ones, tens, hundreds, ...).
Positional notation means the value of a digit depends on its position in the number.
Decimal (Base 10) uses powers of 10:
| Position | 4 | 3 | 2 | 1 | 0 |
|---|---|---|---|---|---|
| Power | 10⁴ | 10³ | 10² | 10¹ | 10⁰ |
| Value | 10000 | 1000 | 100 | 10 | 1 |
Example: 245
- 2 × 100 = 200
- 4 × 10 = 40
- 5 × 1 = 5
- Total = 245
Go deeper:
Wikipedia — Positional notation — why a digit's value depends on its place, with worked base-10/2/16 examples.