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...maller than zero). For example, 4 has two square roots: 2 and −2. The only square root of zero is zero. ...ry [[complex number]] except 0 has 2 square roots. For example: −1 has two square roots. We call them <math>i</math> and <math>-i</math>. ...

...l number instead of a positive real number. This is not possible with real numbers, as there is no real number that will multiply by itself to get a negative ...''' are to '''negative numbers''' what negative numbers are to '''positive numbers'''. If I say "go east by -1 mile" it is the same as if I had said "go west ...

...but in the [[integers]] subtraction does have closure. Subtraction of two numbers can produce a negative number, which is not a natural number, but it is an ...]] are a closure of the real numbers by including square roots of negative numbers. ...

There are a numbers of ways to calculate [[square root]]s of [[number]]s, and even more ways to [[Estimation|estimate]] them. ...ften [[square root]]s are [[Irrational numbers|irrational]]. For example, square root of a nice round [[whole number]] '''28''' is a [[Fraction (mathematics ...

...itself. 1, 4, 9, 16 and 25 are the first five [[square (algebra)|square]] numbers. ...>}} ([[exponentiation]]), usually pronounced as "''n'' squared". The name square number comes from the name of the shape; see [[#Properties|below]]. ...

...say "number" they usually mean "real number". The official symbol for real numbers is a bold '''R''' or a blackboard bold <math>\mathbb{R}</math>. ...ven minus signs (–) so that they are labeled differently from the positive numbers. ...

...[[infinite]] but if someone counted forever they wouldn't miss any of the numbers. Sometimes when people say 'countable set' they mean countable and infinit ...without missing any. The natural numbers have been nicknamed "the counting numbers" since they are what we usually use to count things with. ...

In [[math]], '''imaginary units''', or '''<math>i</math>''', are numbers that can be represented by equations but refer to values that could not phy ...e value of x^2 would have to equal -1. Though the problem is solvable, the square root of -1 could not be represented by a physical quantity of any objects i ...

...e a 41, and the mean does not tell us much about what kind of scores these numbers represent. To find the average of <math>N</math> numbers, the <math>N</math> numbers are [[addition|added]] and the total is [[Division (mathematics)|divide]]d ...

...ith special properties. The definition of the term is best understood for square matrices that are [[symmetry|symmetrical]], also known as [[Hermitian]] mat ...se]] and be greater than zero. The vector chosen must be filled with real numbers. ...

...ratio is ''a''/''b''. The person can make another ratio by adding the two numbers together ''a''+''b'' and dividing this by the larger number ''a''. The new The golden ratio is an [[Number#Irrational numbers|irrational number]]. If a person tries to write it, it will never stop and ...

Where the letters are the corresponding numbers of the original equation, {{math|1=''ax''² + ''bx'' + ''c'' = 0} The quadratic formula is proved by ''completing the square'', ...

...ue square added to the area of the red square makes the area of the purple square. It was named after the [[Ancient Greece|Greek]] [[mathematician]] [[Pythag ...ide]] of a [[square (geometry)|square]] has the same area as a half of the square. ...

...power is called '''square''' because the [[area]] of a [[square (geometry)|square]] is calculated using <math>a^2</math>. So :<math>x^2</math> is the square of <math>x</math> ...

...(number)|5]], and [[7 (number)|7]]. The next following eleven odd abundant numbers are *Odd abundant numbers below 500000 are in On-Line Encyclopedia of Integer Sequences [http://oeis. ...

...[linear algebra]], the '''[[identity matrix]]''' of size n is the n-by-n [[square matrix]] with ones on the main diagonal and zeros elsewhere. ...for all [[real number|real]] values of <math>\theta</math> (since the real numbers <math>\Bbb{R}</math> are the domain of sin and cos), as opposed to ...

...[induction]]. This is usually used to prove a theorem that is true for all numbers. There are 4 steps in a proof by induction. Prove that for all [[natural numbers]] ''n'', 2(1+2+3+....+''n''-1+''n'')=''n''(''n''+1) ...

|<center>'''Natural numbers example''' Numbers less than [[0]] (such as [[−1]]) are not natural numbers. ...

...of a matrix are often referenced by using pairs of [[subscript]]s, for the numbers at each of the '''rows''' & '''columns'''.]] ...th>B \cdot A </math>, which is the case for the multiplication of ordinary numbers. A matrix can have more than 2 [[dimension]]s, such as a 3D matrix. Also, a ...

...ve]] and [[distributive property|distributive properties]], just like real numbers. Complex numbers were invented to answer special equations that have [[exponent]]s in them. ...