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Properties of Real Numbers
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Terms in this set (26)
Associative Property of Addition
Allows you to re-group addends using grouping symbols:
( ) or [ ] and not effect the result in any way
(7 + 4) + 8 = 7 + (4 + 8)
Associative Property of Multiplication
Allows you to re-group number factors using grouping symbols: ( ) or [ ] and not effect the result in any way
(2 x 3) x 4 = 2 x (3 x 4)
Distributive Property
Multiplying the factor outside the parentheses by every term inside the set of parentheses.
Inverse
another word for "opposite"
Additive Inverse Property
A number and its opposite added together to equal 0
Multiplicative Inverse Property
A number and its reciprocal multiplied together to equal 1
Additive Identity Property
Allows you to add 0 to any number and NOT effect the value of the number.
Multiplicative Identity Property
Allows you to multiply any number by 1 and NOT change the value of the number.
Multiplicative Inverse
Reciprocal of a number
The following demonstrates which property?
5 ( 2 - 3 ) = 10 - 15
Distributive Property
The following demonstrates which property?
2 ( 4 + 6) = 8 + 12
Distributive Property
The following demonstrates which property?
42 + 0 = 42
Additive Identity Property
The following demonstrates which property?
a • 1 = a
6 • 1 = 6
1 • 29 = 29
Multiplicative Identity Property
The following demonstrates which property?
(6 + 3) + 2 = 6 + (3 + 2)
(9)+2 =6+(5)
11 = 11
Associative Property of Addition
The following demonstrates which property?
4 x ( 2x5) = (4x2) x 5
4 x (10) = (8) x 5
40 = 40
Associative Property of Multiplication
The following demonstrates which property?
2 + 4 + 7 = 7 + 4 + 2
13 = 13
Commutative Property of Addition
The following demonstrates which property?
4 x 3 x 2 = 3 x 2 x 4
24 = 24
Commutative Property of Multiplication
The fractions 2/3 and 3/2 are
Multiplicative Inverses (Reciprocals)
The integers 17 and -17 are
Additive Inverses
The sum of 4 + -4 =
Zero
The product of 4/5 and 5/4 =
1
Which property allows you to change the order of the addends or factors without changing the result?
Commutative Property
Which property changes the grouping of the addends or factors without changing the result?
Associative Property
9 + (-9) = 0
Additive Inverse Property
5/6 X 6/5 = 1
Multiplicative Inverse Property
Closure Property
the sum or product of two real numbers is a real number
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