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Published byDiane Lloyd Modified over 8 years ago
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Properties of Real Numbers (Section 2.6)
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6 Properties: Commutative Property Associative Property Distributive Property Identity Inverse Zero
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We commute when we go back and forth from work to home. Commutative Property
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Algebra terms commute when they trade places
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This is a statement of 1) commutative property for addition:
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This is the statement for 2) Communtative of Multiplication:
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To associate with someone means that we like to be with them. Associative Property
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The tiger and the panther are associating with each other. They are leaving the lion out. ( )
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The panther has decided to befriend the lion. The tiger is left out. ( )
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In algebra:
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This is a statement of the 3) Associative Property of Addition:
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This is the statement for 4) Associative Property of multiplication:
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Sometimes executives ask for help in distributing papers. Distributive Property
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4(2x+3) We multiply here: We add here:
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4(2x+3)=8x+12 This is an example of 5) Distributive 8x12 4 2x +3
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The Identity Property makes me think about my identity. Identity Property
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1) Identity property for addition asks, “What can I add to myself to get myself back again?
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The above is the identity property for addition. is the identity element for addition.
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7) Identity property for Multiplication asks, “What can I multiply to myself to get myself back again?
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The above is the identity property for multiplication. is the identity element for multiplication.
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8) Additive property of Inverse asks, “What do you add to a number to get zero?” X + (-X)= 0
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9) Multiplicative property for Inverse is, a number which when multiplied by X yields 1. -The reciprocal X + 1/X = 1
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10) Multiplicative Property of Zero The product of any number and zero is zero. a x 0= 0
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