properties Flashcards

1
Q

order doesn’t matter when adding or multiplying values

A

commutative property

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2
Q

grouping of values doesn’t matter when adding or multiplying

A

associative property

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3
Q

when adding 0 number stays the same

A

additive identity

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4
Q

when multiplying by 1 the number stays the same

A

multiplicative identity

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5
Q

0 is additive
1 is multiplicative

A

identity property

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6
Q

“cancel” a value with its opposite
-a is the additive inverse of a
1/a is the multiplicative inverse of a

A

inverse property

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7
Q

multiplying any value by 0 will always equal 0

A

property of 0

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8
Q

multiply a value to all terms of an expression inside of
( )

A

distributive property

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9
Q

a value always equals itself

A

reflexive property

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10
Q

expressions on different sides of an equation can be flipped around

A

symmetric property

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11
Q

if one value is equal to two other values, then the two other values must be equal as well

A

transitive property

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12
Q

commutative property

A

order doesn’t matter when adding or multiplying

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13
Q

associative property

A

grouping doesn’t matter when adding or multiplying (parenthesis move)

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14
Q

identity property

A

0 is additive, 1 is multiplicative

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15
Q

inverse property

A

“cancel” a value with its opposite (-a is additive inverse of a, 1/a is multiplicative of a)

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16
Q

property of 0

A

multiplying anything by 0 will always equal 0

17
Q

distributive property

A

multiply a value to all terms of an expression inside of
( )

18
Q

reflexive property

A

a value always equals itself

19
Q

symmetric property

A

expressions on different sides of an equation can be flipped

20
Q

transitive property

A

if one value is equal to two other values, then the two other values must be equal as well

21
Q

a+b=b+a
axb=bxa

A

commutative property

22
Q

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

A

associative property

23
Q

a+0=a
ax1=a

A

identity property

24
Q

a+(-a) = 0
a x 1/a = 0

A

inverse property

25
Q

a x 0 = 0

A

property of 0

26
Q

a(b+c) - distribute
a x b + a x c

A

distributive property

27
Q

a=a

A

reflexive property

28
Q

if a = b then b = a

A

symmetric property

28
Q

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

A

transitive property