Properties Flashcards

1
Q

Commutative Property of Addition

A

the order of addition doesn’t matter

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2
Q

Commutative Property of Multiplication

A

the order of multiplication doesn’t matter

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3
Q

Associative property of addition

A

The groupings of addition does not matter

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4
Q

Associative property of multiplication

A

the groupings of multiplication does not matter

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5
Q

Additive inverse property

A

anything plus 0 is equal to itself

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6
Q

multiplicative identity property

A

anything times 1 is itself

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7
Q

additive inverse property

A

adding the opposite of the number will always equal zero

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8
Q

multiplicative inverse property

A

multiplying by the reciprocal will always equal one

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9
Q

distributive property

A

a ( b + C) equals a b + BC

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10
Q

zero product property

A

anything times 0 equals 0

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11
Q

reflexive property of equality

A

all numbers are equal to itself

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12
Q

symmetric property of equality

A

if a = b then b = a

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13
Q

substitution property of equality

A

if a = b then B can be substituted for a in any expression or equation

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14
Q

transitive property of equality

A

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

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15
Q

addition property of equality

A

if a equals B then a + C = B + C

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16
Q

subtraction property of equality

A

if a = b then a minus C equals B minus C

17
Q

multiplication property of equality

A

if a equals B then AC equals BC

18
Q

division property of equality

A

if A equals B then a/ c = b / C

19
Q

closure property

A

the sum and product of any two real numbers are also real numbers