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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
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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
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