Table of Contents
10 squared, (10)2, is the number you get when multiplying 10 times 10.
It can also be looked at as exponentiation involving the base 10 and the exponent 2.
The term is usually pronounced ten times ten or ten squared.
The square of 10 is a perfect square because the number is the product of the two equal integers 10.
It can be written as 10 × 10 or in exponential form.
Read on to learn everything about the number ten squared, including useful identities.
Calculator
(10)2 = 100
10 × 10 = 100
The inverse operation of squaring ten is extracting the square root of 10, explained here.
In the next section we elaborate on what is 10 squared and there you can also find our calculator.
What is 10 Squared?
A square is a flat shape with four equal sides; every angle is 90°.
Hence, a square with side length 10 has an area of 100.
10 squared equals the sum of the first 10 odd numbers:
In addition, the number can be calculated from 9 squared using the following identity:
n2 = (n − 1)2 + (n − 1) + n = (n − 1)2 + (2n − 1)
(10)2 = 92 + 9 + 10 = 92 + 19 = 100
It can be also be computed from 9 squared with this identity:
n2 = 2 x (n − 1)2 − (n − 2)2 + 2
(10)2 = 2 x 92 – 82 + 2 = 2 x 81 – 64 + 2 = 100
The difference between the perfect square of 10 and its predecessor, 9, can be calculated with the identity n2 − (n − 1)2 = 2n − 1:
2 x 10 – 1 = 19 = (10)2 – 92 = 100 – 81 = 19
10 is even, and the square numbers of even numbers are also even: (2n)2 = 4n2.
Squares of even numbers like 10 are divisible by 4 for
= n2.
If you want to calculate the square of any number, not only integers like 10, you can use our calculator above.
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A square similar to 10 is, for example: square of 12.
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The following table contains the squares of numbers close to 10.
Table
| Number | Square |
|---|---|
| 5 | 25 |
| 6 | 36 |
| 7 | 49 |
| 8 | 64 |
| 9 | 81 |
| 10 | 100 |
| 11 | 121 |
| 12 | 144 |
| 13 | 169 |
| 14 | 196 |
| 15 | 225 |
Ten Squared
By reading so far you know all about squaring the number 10 and calculating it using recursive methods, or as sum, product or by exponentiation.
10 squared is equivalent to 100.
If you were searching for what is 10 squared in math or if you typed whats 10 squared in the search engine you now have all the answers, too.
The same goes for searches like square10, and 10 to the 2nd power, just to name a few more examples people are often looking for.
Note that you can also find many perfect squares including 10 squared using the search form in the sidebar of this page.
Ahead is the summary of our information.
Conclusion
To sum up,
10 squared = 10 × 10 = (10)2 = 100.
The exponentiation form is mostly used to denote ten squared.
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– Article written by Mark, last updated on November 26th, 2023