Flashcards: Algebra Chapter 2

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Created by:

kisphoenix on October 3, 2007

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properties

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Flashcards: Algebra Chapter 2

closure property of addition
a + b
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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)
termsnumbers in an addition problem
factorsnumbers in a multiplication problem
sumanswer in addition
productanswer in multiplication
differenceanswer in subtraction
quotientanswer in division
even integerthe product of 2 and any integer
odd integerany integer that is not even

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