Square of 7
7 squared equals 49. Squares appear in area calculations, the Pythagorean theorem, and statistics (variance uses squared distances).
Squares obey quiet rules. Divided by 9, a square only ever leaves 0, 1, 4 or 7 — 4 here. On the last digit, squares end only in 0, 1, 4, 5, 6 or 9, and 9 fits. Between its neighbors, 36 sits 13 below and 64 sits 15 above — the square ladder widens by exactly two at every step. An odd base keeps the square odd: 49 ends in an odd digit, as every odd square must. Two anchors most worth memorizing in this range are 12² = 144 and 15² = 225 — the odd-step rule above is why knowing them pays off, because from any anchor the next square is one step along this page's ladder.
| Expression | Value |
|---|---|
| 7² | 49 |
Frequently asked questions
What is 7 squared?
7 squared is 49, because 7 × 7 = 49. The exponent 2 is why it is written 7².
What is 8 squared, next to 7²?
8² = 64, which is 15 more than 7² = 49. Each step up adds double the base plus one.
Where do squares show up in real problems?
Area of a square with side 7, distance in the Pythagorean theorem, and variance in statistics all use squared values.