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Published byBethanie Merritt Modified over 5 years ago

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1 -2 Properties of Real Numbers

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Types of Numbers Often, numbers are grouped or classified as specific types of numbers. We will explore the following types of numbers today: Whole Integers Natural Numbers Rational Irrational

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Whole Numbers Whole numbers are set { 0,1,2,3,…}

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Integers you can think of integers as positive and negative whole numbers Integers are the set { … -2, -1,0, 1,2 …}

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Natural Numbers This set is the same set as whole numbers, but without the number 0.

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Rational Numbers Rational Numbers contain any number that can be written in the form a/b, where b does not equal 0. All terminating decimals are rational All repeating decimals are rational Examples: { ½, 7. 13.5, 1.33333…}

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Irrational Numbers Irrational numbers cannot be written in the form a/b. Irrational numbers do not terminate or repeat Examples: { √3, √5, π}

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Lets discuss square roots?

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Graphing real numbers on a number line

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Review of Number Properties (Multiplication) Commutative Associative Identity Inverse

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Review of Number Properties (Addition) Commutative Associative Identity Inverse

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Review of Number Properties Distributive

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Like Terms have the same variables raised to the same powers Remember that you cannot add two terms if they are not like terms Example: 2x +3 = 2x +3 4x +3x +5x =12x

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Key Vocabulary cont’d Rational number Natural number Whole number Integer Irrational number Inequality

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Key Vocabulary Square root Radicand Radical Perfect square Set Element of set subset radicand

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