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* '''Imaginary numbers''' begin to appear here, as there's no reason to take the square root of -1 in a basic math class. They're denoted by the letter "i", mean "the square root of -1", and are actual numbers, [[NonIndicativeName not imaginary]]. Think of them as the "guts" of numbers -- you'll come across them as you pull numbers apart but they'll sort out before the answer when you put the numbers back together. In regular-old algebra unless you're studying '''complex numbers'''[[note]]numbers with imaginary numbers added or subtracted from them; (3+i) would be one example.[[/note]] or have a parabola which doesn't cross the x-axis, your final answer will have no imaginary numbers in it.

to:

* '''Imaginary numbers''' begin to appear here, as there's no reason to take the square root of -1 in a basic math class. They're denoted by the letter "i", mean "the square root of -1", and are actual numbers, [[NonIndicativeName not imaginary]].imaginary]][[note]]In basic mathematics, it's impossible to squareroot a negative number since multiplying any number by itself gives a positive answer. One day, a mathematician basically went "Okay, but what if there was such a thing?", hence "Imaginary". [[YourMindMakesItReal But as it turns out, this impossible number has many mathematical uses and is key to understanding things like electrical currents.]][[/note]]. Think of them as the "guts" of numbers -- you'll come across them as you pull numbers apart but they'll sort out before the answer when you put the numbers back together. In regular-old algebra unless you're studying '''complex numbers'''[[note]]numbers with imaginary numbers added or subtracted from them; (3+i) would be one example.[[/note]] or have a parabola which doesn't cross the x-axis, your final answer will have no imaginary numbers in it.
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** Important: Always make sure all variables representing a letter mean one variable. If you've found X equals 7, then ''every X in that problem must equal 7''. Use other letters if you need to represent other numbers.

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** Important: Always When using letters as variables, always make sure all variables representing a instances of that letter mean one variable. only ever represent the same variable. If you've found X equals 7, then ''every X in that problem must equal 7''. Use other letters if you need to represent other numbers.



*** If you've every heard someone mumble or say "Please Excuse My Dear Aunt Sally", it's a mnemonic to remember PEMDAS.

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*** If you've every ever heard someone mumble or say "Please Excuse My Dear Aunt Sally", it's a mnemonic to remember PEMDAS.



** '''Commutative''': You can add or multiply in any order you want, but still following the order of operations[[note]]multiplication comes before addition[[/note]].

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** '''Commutative''': You can add or multiply in any order As long as you want, but still following follow the order of operations[[note]]multiplication comes before addition[[/note]].addition[[/note]], you can add numbers in any order or multiply them in any order you want. 2 + 7 will equal 7 + 2, and 2 x 7 is the same as 7 x 2.

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