## Algebra Chapter 2

##### Created by:

kisphoenix  on October 3, 2007

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# Algebra Chapter 2

 closure property of additiona + b
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#### Latin

closure property of additiona + b
closure property of multiplicationab
commutative property of additiona + b = b + a
commutative property of multiplicationab = ba
associative property of additiona + (b + c) = (a + b) + c
associative property of multiplicationa(bc) = (ab)c
multiplicative property of zeroa x 0 = 0
multiplicative property of -1a x -1 = -a
identity property of additiona + 0 = a
identity property of multiplicationa x 1 = a
definition of subtractiona - b = a + (-b)
definition of divisiona / b = a x 1/b
distributive propertya(b + c) = ab + ac OR a(b - c) = ab - ac
property of opposites in products(-a)(b) = -ab OR a(-b) = -ab OR (-a)(-b) = ab
property of reciprocalsa x 1/a = 1
property of the reciprocal of a product1/ab = 1/a x 1/b
property of the reciprocal of the opposite of a number1/-a = -1/a
reflexive propertya = a
symmetric propertyIf a = b, then b = a.
transitive propertyIf a = b and b = c, then a = c.
property of oppositesa + (-a) = 0
property of the opposite of a sum-(a + b) = (-a) + (-b)
factorsnumbers in a multiplication problem
even integerthe product of 2 and any integer
odd integerany integer that is not even

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