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-9997 Squared

-9997 squared, (-9997)2, is the number you get when multiplying -9997 times -9997.

It can also be looked at as exponentiation involving the base -9997 and the exponent 2.

The term is usually pronounced negative nine thousand nine hundred ninety-seven times negative nine thousand nine hundred ninety-seven or negative nine thousand nine hundred ninety-seven squared.

The square of -9997 is a perfect square because the number is the product of the two equal integers -9997.

It can be written as -9997 × -9997 or in exponential form.

Read on to learn everything about the number negative nine thousand nine hundred ninety-seven squared, including useful identities.

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(-9997)2 = 99,940,009
-9997 × -9997 = 99,940,009
The inverse operation of squaring negative negative nine thousand nine hundred ninety-seven is extracting the square root of negative -9997, explained here.

In the next section we elaborate on what is -9997 squared.

What is -9997 Squared?

A square is a flat shape with four equal sides; every angle is 90°.

Hence, a square with side length -9997 has an area of 99,940,009.

-9997 squared equals the sum of the first -9997 odd numbers:


In addition, the number can be calculated from -9998 squared using the following identity:

n2 = (n − 1)2 + (n − 1) + n = (n − 1)2 + (2n − 1)
(-9997)2 = (-9998)2 + -9998 + -9997 = (-9998)2 + -19995 = 99,940,009

It can be also be computed from -9998 squared with this identity:

n2 = 2 x (n − 1)2 − (n − 2)2 + 2
(-9997)2 = 2 x (-9998)2 – (-9999)2 + 2 = 2 x 99960004 – 99980001 + 2 = 99,940,009

The difference between the perfect square of -9997 and its predecessor, -9998, can be calculated with the identity n2 − (n − 1)2 = 2n − 1:

2 x -9997 – 1 = -19995 = (-9997)2 – (-9998)2 = 99,940,009 – 99960004 = -19995

-9997 is odd, and the square numbers of odd numbers are also odd: (-2n + 1)2 = 4 × (n2 – n) + 1.

Squares of odd numbers like -9997 are of the form 8n + 1, because (-2n + 1)2 = 4n × (n – 1) + 1;
n × (n – 1) is an even number.

If you want to calculate the square of any number, not only integers like -9997, you can use our calculator above.

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A square similar to -9997 is, for example: square of negative -9999.


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The following table contains the squares of numbers close to -9997.

Table

NumberSquare
-10002100,040,004
-10001100,020,001
-10000100,000,000
-999999,980,001
-999899,960,004
-999799,940,009
-999899,960,004
-999599,900,025
-999499,880,036
-999399,860,049
-999299,840,064

Negative Nine Thousand Nine Hundred Ninety-Seven Squared

By reading so far you know all about squaring the number -9997 and calculating it using recursive methods, or as sum, product or by exponentiation.

-9997 squared is equivalent to 99,940,009.

If you were searching for what is -9997 squared in math or if you typed whats -9997 squared in the search engine you now have all the answers, too.

The same goes for searches like square -9997, and -9997 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 -9997 squared using the search form in the sidebar of this page.

Ahead is the summary of our information.

Conclusion

To sum up,

-9997 squared = -9997 × -9997 = (-9997)2 = 99,940,009.

The exponentiation form is mostly used to denote negative negative nine thousand nine hundred ninety-seven squared.

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– Article written by Mark, last updated on November 26th, 2023