# 1 -2 Properties of Real Numbers. Types of Numbers  Often, numbers are grouped or classified as specific types of numbers. We will explore the following.

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1 -2 Properties of Real Numbers

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

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

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

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

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…}

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

Lets discuss square roots?

Graphing real numbers on a number line

Review of Number Properties (Multiplication)  Commutative  Associative  Identity  Inverse

Review of Number Properties (Addition)  Commutative  Associative  Identity  Inverse

Review of Number Properties  Distributive

 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

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

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

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