What Is Four Squared
Four squared is 16. When you square a number, you multiply it by itself, so 4 × 4 = 16. The operation is written as 4² and it is one of the most basic calculations in arithmetic and geometry.
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How the Calculation Works
Squaring a number means using it as both the base and the exponent. In 4², the base is 4 and the exponent is 2, which tells you how many times to multiply the base by itself. So 4² = 4 × 4 = 16.
Why Squaring Matters
Squaring comes up whenever you calculate area. A square with side length 4 has an area of 4², or 16 square units. In algebra, squaring appears in the Pythagorean theorem, quadratic equations, and formulas for distance and variance.
Powers of 4 at a Glance
| Expression | Value | How It Is Built |
|---|---|---|
| 4¹ | 4 | 4 |
| 4² | 16 | 4 × 4 |
| 4³ | 64 | 4 × 4 × 4 |
Related Concepts
- Square root: The inverse of squaring; √16 = 4.
- Perfect squares: Numbers like 1, 4, 9, 16 that are squares of integers.
- Exponent rules: When you multiply powers with the same base, you add the exponents.