Table of Contents
100 squared, (100)2, is the number you get when multiplying 100 times 100.
It can also be looked at as exponentiation involving the base 100 and the exponent 2.
The term is usually pronounced one hundred times one hundred or one hundred squared.
The square of 100 is a perfect square because the number is the product of the two equal integers 100.
It can be written as 100 × 100 or in exponential form.
Read on to learn everything about the number one hundred squared, including useful identities.
Calculator
(100)2 = 10,000
100 × 100 = 10,000
The inverse operation of squaring one hundred is extracting the square root of 100, explained here.
In the next section we elaborate on what is 100 squared and there you can also find our calculator.
What is 100 Squared?
A square is a flat shape with four equal sides; every angle is 90°.
Hence, a square with side length 100 has an area of 10,000.
100 squared equals the sum of the first 100 odd numbers:
In addition, the number can be calculated from 99 squared using the following identity:
n2 = (n − 1)2 + (n − 1) + n = (n − 1)2 + (2n − 1)
(100)2 = 992 + 99 + 100 = 992 + 199 = 10,000
It can be also be computed from 99 squared with this identity:
n2 = 2 x (n − 1)2 − (n − 2)2 + 2
(100)2 = 2 x 992 – 982 + 2 = 2 x 9801 – 9604 + 2 = 10,000
The difference between the perfect square of 100 and its predecessor, 99, can be calculated with the identity n2 − (n − 1)2 = 2n − 1:
2 x 100 – 1 = 199 = (100)2 – 992 = 10,000 – 9801 = 199
100 is even, and the square numbers of even numbers are also even: (2n)2 = 4n2.
Squares of even numbers like 100 are divisible by 4 for
= n2.
If you want to calculate the square of any number, not only integers like 100, you can use our calculator above.
Enter your number; nothing else to be done.
A square similar to 100 is, for example: square of 102.
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The following table contains the squares of numbers close to 100.
Table
| Number | Square |
|---|---|
| 95 | 9,025 |
| 96 | 9,216 |
| 97 | 9,409 |
| 98 | 9,604 |
| 99 | 9,801 |
| 100 | 10,000 |
| 101 | 10,201 |
| 102 | 10,404 |
| 103 | 10,609 |
| 104 | 10,816 |
| 105 | 11,025 |
One Hundred Squared
By reading so far you know all about squaring the number 100 and calculating it using recursive methods, or as sum, product or by exponentiation.
100 squared is equivalent to 10,000.
If you were searching for what is 100 squared in math or if you typed whats 100 squared in the search engine you now have all the answers, too.
The same goes for searches like square100, and 100 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 100 squared using the search form in the sidebar of this page.
Ahead is the summary of our information.
Conclusion
To sum up,
100 squared = 100 × 100 = (100)2 = 10,000.
The exponentiation form is mostly used to denote one hundred squared.
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– Article written by Mark, last updated on November 26th, 2023