0 Squared

0 squared, 02, is the number you get when multiplying 0 times 0. It can also be looked at as exponentiation involving the base 0 and the exponent 2. The term is usually pronounced zero times zero or zero squared. The square of 0 is a perfect square because the number is the product of the two equal integers 0. It can be written as 0 x 0 or in exponential form. Read on to learn everything about the number zero squared, including the useful identities.

02 = 0
0 x 0 = 0

The inverse operation of squaring zero is extracting the square root of 0, explained here. In the next section we elaborate on what is 0 squared, and there you can also find our calculator.

What is 0 Squared

A square is a flat shape with four equal sides; every angle is 90°. Hence, a square with side length 0 has an area of 0.

0 squared equals the sum of the first 0 odd numbers:

$\sum_{i=1}^{0} (2i-1)$ = 0

In addition, the number can be calculated from -1 squared using the following identity:

n2 = (n − 1)2 + (n − 1) + n = (n − 1)2 + (2n − 1)
02 = -12 + -1 + 0 = -12 + -1 = 0

It can be also be computed from -1 squared with this identity:

n2 = 2 x (n − 1)2 − (n − 2)2 + 2
02 = 2 x -12 – -22 + 2 = 2 x 1 – 4 + 2 = 0

The difference between the perfect square of 0 and its predecessor, -1, can be calculated with the identity n2 − (n − 1)2 = 2n − 1:

2 x 0 – 1 = -1 = 02 – -12 = 0 – 1 = -1

0 is even, and the square numbers of even numbers are also even: (2n)2 = 4n2.

Squares of even numbers like 0 are divisible by 4 for $\frac{(2n)^{2}}{4}$ = n2.

If you want to calculate the square of any number, not only integers like 0, you can use our calculator below. Just insert your number; the calculation is done automatically.

Calculate Squared Number

If this tool has been valuable to you, then bookmark it now. Besides the square of zero, other squares on our site include, for instance:

0 Squared

Zero Squared

By reading so far you know all about squaring the number 0 and calculating it using recursive methods, or as sum, product or by exponentiation. 0 squared is equivalent to 0.

If you were searching for what is 0 squared in math or if you typed whats 0 squared in the search engine, then you now have all the answers, too.

The same goes for searches like square0, and 0 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 0 squared using the search form in the sidebar and menu of this page.

To sum up,

0 squared = 0x0 = 02 = 0. The exponentiation form is mostly used to denote zero squared.

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