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-10000 squared, (-10000)2, is the number you get when multiplying -10000 times -10000.
It can also be looked at as exponentiation involving the base -10000 and the exponent 2.
The term is usually pronounced negative ten thousand times negative ten thousand or negative ten thousand squared.
The square of -10000 is a perfect square because the number is the product of the two equal integers -10000.
It can be written as -10000 × -10000 or in exponential form.
Read on to learn everything about the number negative ten thousand squared, including useful identities.
Calculator
-10000 × -10000 = 100,000,000
The inverse operation of squaring negative negative ten thousand is extracting the square root of negative -10000, explained here.
In the next section we elaborate on what is -10000 squared.
What is -10000 Squared?
A square is a flat shape with four equal sides; every angle is 90°.
Hence, a square with side length -10000 has an area of 100,000,000.
-10000 squared equals the sum of the first -10000 odd numbers:
In addition, the number can be calculated from -10001 squared using the following identity:
n2 = (n − 1)2 + (n − 1) + n = (n − 1)2 + (2n − 1)
(-10000)2 = (-10001)2 + -10001 + -10000 = (-10001)2 + -20001 = 100,000,000
It can be also be computed from -10001 squared with this identity:
n2 = 2 x (n − 1)2 − (n − 2)2 + 2
(-10000)2 = 2 x (-10001)2 – (-10002)2 + 2 = 2 x 100020001 – 100040004 + 2 = 100,000,000
The difference between the perfect square of -10000 and its predecessor, -10001, can be calculated with the identity n2 − (n − 1)2 = 2n − 1:
2 x -10000 – 1 = -20001 = (-10000)2 – (-10001)2 = 100,000,000 – 100020001 = -20001
-10000 is even, and the square numbers of even numbers are also even: (-2n)2 = 4n2.
Squares of even numbers like -10000 are divisible by 4 for
= n2.
If you want to calculate the square of any number, not only integers like -10000, you can use our calculator above.
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A square similar to -10000 is, for example: square of negative 2.
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The following table contains the squares of numbers close to -10000.
Table
| Number | Square |
|---|---|
| -10005 | 100,100,025 |
| -10004 | 100,080,016 |
| -10003 | 100,060,009 |
| -10002 | 100,040,004 |
| -10001 | 100,020,001 |
| -10000 | 100,000,000 |
| -10001 | 100,020,001 |
| -9998 | 99,960,004 |
| -9997 | 99,940,009 |
| -9996 | 99,920,016 |
| -9995 | 99,900,025 |
Negative Ten Thousand Squared
By reading so far you know all about squaring the number -10000 and calculating it using recursive methods, or as sum, product or by exponentiation.
-10000 squared is equivalent to 100,000,000.
If you were searching for what is -10000 squared in math or if you typed whats -10000 squared in the search engine you now have all the answers, too.
The same goes for searches like square -10000, and -10000 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 -10000 squared using the search form in the sidebar of this page.
Ahead is the summary of our information.
Conclusion
To sum up,
-10000 squared = -10000 × -10000 = (-10000)2 = 100,000,000.
The exponentiation form is mostly used to denote negative negative ten thousand squared.
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