Square Numbers as Exponents
What are Square Numbers?
A square number is what you get when you multiply a number by itself. We write this using an exponent: n2. For example, 32 = 3 × 3 = 9. The small "2" means "multiply the number by itself." It's called a "square" number because you can arrange that many dots in a perfect square shape!
A square number is what you get when you multiply a number by itself. We write this using an exponent: n2. For example, 32 = 3 × 3 = 9. The small "2" means "multiply the number by itself." It's called a "square" number because you can arrange that many dots in a perfect square shape!
12 = 1
(1 × 1 = 1)
1 is a square number
22 = 4
(2 × 2 = 4)
4 is a square number
32 = 9
(3 × 3 = 9)
9 is a square number
42 = 16
(4 × 4 = 16)
16 is a square number
52 = 25
(5 × 5 = 25)
25 is a square number
62 = 36
(6 × 6 = 36)
36 is a square number
72 = 49
(7 × 7 = 49)
49 is a square number
82 = 64
(8 × 8 = 64)
64 is a square number
92 = 81
(9 × 9 = 81)
81 is a square number
102 = 100
(10 × 10 = 100)
100 is a square number
Squares from 12 to 102
| Exponent Form | Value | Exponent Form | Value |
|---|---|---|---|
| 12 | 1 | 62 | 36 |
| 22 | 4 | 72 | 49 |
| 32 | 9 | 82 | 64 |
| 42 | 16 | 92 | 81 |
| 52 | 25 | 102 | 100 |
Test Your Knowledge
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