# Square Calculator x²

## Calculator Use

Find the squared value of a number n. Enter positive or negative whole numbers or decimal numbers or scientific E notation.

## Squaring Negative Numbers

When you want to square negative numbers in this calculator use parentheses with your input.

- -5² means -(5 × 5) = -25
- -(5)² means -(5 × 5) = -25
- (-5)² means (-5 × -5) = 25

For example, to square -4 enter it into the calculator as (-4) with parentheses. To take the negative of 4 squared enter it as -(4) or -4.

When an exponent expression is written with a positive value such a 4² it is easy for most anyone to understand this means 4 × 4 = 16

However, when it is written as a negative value without parentheses the meaning is ambiguous. It has a different meaning to different people.

Different possible interpretations of -4²:

1. negative of (4 squared) is -4² = -(4)² = -(4 × 4) = -16

2. (negative 4) squared is (-4)² = (-4 × -4) = 16

Use parentheses to clearly indicate which calculation you really want to happen.

## Squared

A number n squared is written as n² and n² = n × n. If n is an integer then n² is a perfect square.

For example, 3 squared is written as 3² and 3² = 3 × 3 = 9. Nine is a perfect square.

### Numbers 0 through 10 squared

- 0 squared is 0² = 0 × 0 = 0
- 1 squared is 1² = 1 × 1 = 1
- 2 squared is 2² = 2 × 2 = 4
- 3 squared is 3² = 3 × 3 = 9
- 4 squared is 4² = 4 × 4 = 16
- 5 squared is 5² = 5 × 5 = 25
- 6 squared is 6² = 6 × 6 = 36
- 7 squared is 7² = 7 × 7 = 49
- 8 squared is 8² = 8 × 8 = 64
- 9 squared is 9² = 9 × 9 = 81
- 10 squared is 10² = 10 × 10 = 100

### References/ Additional Reading

Goodman, Len and
Weisstein, Eric W. "Square Number." From
*MathWorld*--A Wolfram Web Resource.
Square Number

Wikipedia "Square Number" at https://en.wikipedia.org/wiki/Square_number