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Properties of Real Numbers Algebra A Unit 1, Lesson 4

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Natural Numbers 1,2,3,4,… Also called the “Counting Numbers”

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Whole Numbers The whole numbers are the counting numbers with the addition of the number zero.

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Integers The integers is the set of whole numbers and their opposites. additive inverses.

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Rational Numbers Any number that you can write as a fraction.

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Irrational Numbers Any number that you cannot write as a fraction.

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Real Numbers The combination of all rational and irrational numbers.

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Properties

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Identity Properties Addition: if you add zero to a number, you get back the original number. Multiplication: if you multiply a number by one, you get back the original number.

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Multiplication Property of 0 Any number multiplied by 0 equals 0!

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Commutative Property Changing the order in which you add or multiply does not change the sum or product.

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Associative Property Changing the way the numbers are grouped does not change the sum or product.

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