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1.8 Properties of Real Numbers
Commutative (Addition) The “you can switch it around and it just don’t matter” property a + b = b + a
Commutative (Multiplication) The “you can switch it around and it just don’t matter” property a b = b a
Associative (Addition) Order of numbers stay, parenthesis shift (a + b) + c = a + (b + c)
Associative (Multiplication) Order of numbers stay, parenthesis shift (a b) c = a (b c)
Identity Property (Addition) The “zero” property What can you add to a number to get the SAME EXACT NUMBER? a + 0 = a
Identity Property (Multiplication) The “one” property What can you multiply a number by to get the SAME EXACT NUMBER? a 1 = a
Inverse (Addition) For every value a, there is an equal but opposite a (additive inverse) a + (-a) = 0
Inverse (Multiplication) For every value a, there is an equal but reciprocal of a (multiplicative inverse) a ( ) = 0
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