Commutative, Associative, Inverse, Identity, Distributive
Quiz yourself by thinking what should be in
each of the black spaces below before clicking
on it to display the answer.
Help!
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| Associative Property of Addition | For this property, the order of the numbers stays the same and the parentheses move.
EX: 2 + ( 3 + 4 ) = ( 2 + 3 ) + 4
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| Associative Property of Multiplication | For this property, the order of the numbers stays the same and the parentheses move.
EX: 2 ( 3 x 4 ) = ( 2 x 3 ) x 4
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| Commutative Property of Addition | For this property you add two numbers together and then reverse the order on the other side.
EX: 4 + 6 = 6 + 4
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| Commutative Property of Multiplication | For this property you multiply numbers together and reverse the order of these numbers on the other side.
EX: 2 + ( 3 x 5 ) = 2 + ( 5 x 3 )
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| Identity Property of Addition | For this property you must start and end with the same number and the operation must be addition.
EX: 5 + 0 = 5
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| Identity Property of Multiplication | For this property you must start and end with the same number and the operation must be multiplication.
EX: 4 x 1 = 4
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| Inverse Property of Addition | For this property you must add the opposite of the term and the sum equals zero.
EX: 5x + ( - 5x ) = 0
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| Inverse Property of Multiplication | For this property you must divide or multiply by the reciprocal of the first term to come up with a value of one.
EX: (4/3)x(3/4)=1
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| Distributive Property | When you multiply a term through a set of parentheses.
EX: 4(x-1) = 4x-4
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| Natural Numbers | The set of all counting numbers.
{1, 2, 3, 4, 5, ...}
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| Whole Numbers | The set of all counting numbers with 0 also included.
{0, 1, 2, 3, 4, ...}
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| Integers | The set of all whole numbers including the negative of these numbers. These are the positive and negative "nice" numbers.
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| Rational Numbers | The set of all fractions, repeating decimals, and terminating decimals.
EX: 2/3, 1.7777..., 4.9
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| Irrational Numbers | The set of all non-terminating AND non-repeating decimals. This set includes the square roots that cannot be simplified down to whole numbers.
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Created by:
christyk@esu9.org
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