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Math K-Plus

Exponents - Learn About Squared And Perfect Squares Number: Lessons, And Exponent Calculator To Test Yourself

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What Are Squared And Perfect Squares Numbers?


A Squared number "n" is written n2. This notation, n2, is pronounced "n squared". So what does n2 mean? Simple, it is a shortcut exponent notation using multiplication. If "n" is a number than "n" times "n" = n × n = n2. Example: 32 = 3 x 3 = 9.
  • Any number can be squared; for example (1.5)2 = 1.5 × 1.5 = 2.25. But squares of Integers are called Perfect Squares.
  • Here is a list of the first ten perfect squares: 02 = 0, 12 = 1, 22 = 4, 52 = 25, 62 = 36, 72 = 49, 82 = 64, 92 = 81, and 102 = 100.
  • The square of any nonzero number is positive; if you have questions about signed or unsigned numbers, see Signed and Unsigned Numbers. The Product of two numbers with the same sign is positive.
  • Taking the square of a negative number can be a little tricky. For example -42 = -16 but (-4)2 = +16. You must always be aware of the order of operation.

Recommended reading: Cubed Numbers and Exponents.


Sample Syntax

Calculator Input Syntax


Math Expression


Answer


2^2 22 4
2.5^2 2.52 6.25
(3)^2 (3)2 9
(-3)^2 (-3)2 9
-4^2 -42 -16




Please Read! To use this calculator is easy. It supports all the input formats shown in the yellow column of the table above.

Squares And Perfect Squares Calculator
Enter Your Squared or Perfect Squares Expression Here
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