Table of Contents
-2 squared, (-2)2, is the number you get when multiplying -2 times -2.
It can also be looked at as exponentiation involving the base -2 and the exponent 2.
The term is usually pronounced negative two times negative two or negative two squared.
The square of -2 is a perfect square because the number is the product of the two equal integers -2.
It can be written as -2 × -2 or in exponential form.
Read on to learn everything about the number negative two squared, including useful identities.
Calculator
(-2)2 = 4
-2 × -2 = 4
The inverse operation of squaring negative negative two is extracting the square root of negative -2, explained here.
In the next section we elaborate on what is -2 squared.
What is -2 Squared?
A square is a flat shape with four equal sides; every angle is 90°.
Hence, a square with side length -2 has an area of 4.
-2 squared equals the sum of the first -2 odd numbers:
In addition, the number can be calculated from -3 squared using the following identity:
n2 = (n − 1)2 + (n − 1) + n = (n − 1)2 + (2n − 1)
(-2)2 = (-3)2 + -3 + -2 = (-3)2 + -5 = 4
It can be also be computed from -3 squared with this identity:
n2 = 2 x (n − 1)2 − (n − 2)2 + 2
(-2)2 = 2 x (-3)2 – (-4)2 + 2 = 2 x 9 – 16 + 2 = 4
The difference between the perfect square of -2 and its predecessor, -3, can be calculated with the identity n2 − (n − 1)2 = 2n − 1:
2 x -2 – 1 = -5 = (-2)2 – (-3)2 = 4 – 9 = -5
-2 is even, and the square numbers of even numbers are also even: (-2n)2 = 4n2.
Squares of even numbers like -2 are divisible by 4 for
= n2.
If you want to calculate the square of any number, not only integers like -2, you can use our calculator above.
Enter your number; nothing else to be done.
A square similar to -2 is, for example: square of negative -4.
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The following table contains the squares of numbers close to -2.
Table
| Number | Square |
|---|---|
| -7 | 49 |
| -6 | 36 |
| -5 | 25 |
| -4 | 16 |
| -3 | 9 |
| -2 | 4 |
| -3 | 9 |
| 0 | 0 |
| 1 | 1 |
| 2 | 4 |
| 3 | 9 |
Negative Two Squared
By reading so far you know all about squaring the number -2 and calculating it using recursive methods, or as sum, product or by exponentiation.
-2 squared is equivalent to 4.
If you were searching for what is -2 squared in math or if you typed whats -2 squared in the search engine you now have all the answers, too.
The same goes for searches like square -2, and -2 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 -2 squared using the search form in the sidebar of this page.
Ahead is the summary of our information.
Conclusion
To sum up,
-2 squared = -2 × -2 = (-2)2 = 4.
The exponentiation form is mostly used to denote negative negative two squared.
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– Article written by Mark, last updated on November 26th, 2023