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PROPERTIES OF REAL NUMBERS -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 Medina 1 PROPERTIES OF ADDITION The order of which numbers are added does Commutative: not matter the answer is still the same 6+3+7=3+7+6 Associative: The order of the numbers is the same, the Identity: grouping has change but the answer is still the same (6 + 3) + 7 = 3 + (7 + 6) Add any number to zero, the number stays the same 7+ 0 = 7 Inverse Add any opposite numbers, the answer is always zero 7+ (-7) = 0 Medina 2 PROPERTIES OF MULTIPLICATION Commutative: The order of which numbers are multiplied does not matter the answer is still the same 2•3•1=3•2•1 Associative: The order of the numbers is the same, the Identity: Zero: grouping has change but the answer is still the same 3 • (2 • 1) = (3 • 2) • 1 Multiply any number by one, the number stays the same 3•1=3 Multiply any number by zero the answer will always be zero 7•0=0 Negative one: Multiply any number by negative one the answer will always be it’s inverse. 7 • (-1) = -7 Medina 3