# Algebra terms and definitions

May 29th, 2015
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•Reflexive property: a = a• Symmetric property: If a=b, then b = a• Transitive property: If a=b, and b=c, then a=c •Commutative property: a+b = b+a and a*b = b*a• Associative property: a+(b+c) = (a+b)+c and a*(b*c) = (a*b)*c

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Bold = rulesUnderline = definitionsReflexive property: a = aSymmetric property: If a=b, then b = aTransitive property: If a=b, and b=c, then a=cCommutative property: a+b = b+a and a*b = b*aAssociative property: a+(b+c) = (a+b)+c and a*(b*c) = (a*b)*cDistributive property: a(b+c) = a*b + a*c and a(b-c) = a*b a*cAdditive identity property: add zero to any term, the answer you get is just the termMultiplicative identity property: multiply it by one, the answer you get is just the termWhole numbers make up the set of natural numbers, plus 0Integers are whole numbers and the negatives of all the natural numbersAny time you see an integer divided by another integer, youre looking at a rational numberIrrational number: decimal goes on and on in a pattern no human being has ever made sense ofReal numbers: every type of number you can possibly think ofUndefined: which means that it is no actual number (i.e. 0/3 = 0 but 3/0 = undefined)Same-sign rule: combining numbers with the same sign, keep the sign and add the numbersMixed-sign rule: see which number is larger. The sign in front of that larger number place it before a set of parentheses. Inside parentheses, subtract the smaller number from the larger one.++ turns ins +, -+ turns into -, +- turns into -, --turns into +Multiplication rule: When you multiply two numbers with the same sign, the answer is positive. When you multiply two numbers with different signs, the answer is negativeNumber of negative

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