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Related Flashcards
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Cards In This Set
| Front | Back |
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Commutative Property of Addition
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For all real numbers a and b,
a + b = b + a |
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Associative Property of Addition
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For all real numbers a, b, and c,
a + (b + c) = (a + b) + c |
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Identity Property of Addition
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There is a unique real number 0 such that for every real number a,
a + 0 = a and 0 + a = a |
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Additive Inverse Property (property of opposites)
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For every real number a, there is a unique real number -a such that,
a + (-a) = 0 and (-a) + a = 0 |
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Associative Property of Multiplication
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For all real numbers a, b, and c,
(ab)c = a(bc) |
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Commutative Property of Multiplication
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For all real numbers a and b,
ab = ba |
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Transitive Property of Equality
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For all real numbers a, b, and c,
if a = b and b = c, then a = c. |
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Reflexive Property of Equality
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For each real number a
a = a |
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Symmetric Property of Equality
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For all real numbers a, b,
if a = b, then b = a |
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Closure Property
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For all real numbers a and b,
a + b is a unique real number and ab is a unique real number |
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Property of Opposite of a Sum
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For all real numbers a, and b, -(a + b) = -a + (-b)
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Distributive property with respect to addition
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For all real numbers a, b, and c, a(b + c) = ab + ac
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Distributive property with respect to subtraction
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For all real numbers a, b, and c, a(b - c) = ab - ac
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Definition of subtraction
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For all real numbers a and b, a - b = a + (-b)
(To subtract b, add the opposite of b) |
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Identity Property of Multiplication
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There is a unique number 1 such that for every real number a, 1(a) = a and (a)1 = a.
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