Properties Flashcards

0
Q

a x b = real number

A

Closure property of multiplication

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1
Q

a + b = real number

A

Closure property of addition

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2
Q

a + b = b + a

A

Commutative property of addition

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3
Q

a x b = b x a

A

Commutative property of multiplication

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4
Q

(a + b) + c = a + (b + c)

A

Associative Property of Addition

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5
Q

(ab)c = a(bc)

A

Associative Property of Multiplication

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6
Q

a = a

A

Reflexive Property

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7
Q

if a = b and b = c, then a = c

A

Transitive Property

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8
Q

a + 0 = a

A

Additive Identity

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9
Q

a + (-a) = 0

A

Additive Inverse

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10
Q

a - b = a + (-b)

A

Definition of Subtraction

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11
Q

a(b+c) = ab + ac or (b+c)a = ba + ca

A

Distributive Property

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12
Q

a x 1 = a

A

Multiplicative Identity

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13
Q

a x 0 = 0

A

Multiplicative Property of Zero

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14
Q

a x -1 = -a

A

Multiplicative Property of -1

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15
Q

a -:- b = a 1/b

A

Definition of Division

16
Q

if a=b, then a+c = b+c

A

Addition Property of Equality

17
Q

a=b; a-c = b-c

A

Subtraction Property of Equality

18
Q

if a=b then ac = bc

A

Multiplication Property of Equality