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**1-1 Properties of Real Numbers**

Tools of Algebra 1-1 Properties of Real Numbers Obj. 1.03: Operate with algebraic expressions (polynomial, rational, complex fractions) to solve problems.

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**Key Vocabulary Opposite Additive Inverse Reciprocal**

Multiplicative Inverse Absolute value of a real number

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Essential Question What is a real number?

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Natural Numbers The numbers used for counting {1, 2, 3, 4, …}

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Whole Numbers The natural numbers and zero {0, 1, 2, 3, …}

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**Integers The natural numbers, their opposites, and zero**

{…, -4, -3, -2, -1, 0, 1, 2, 3, 4, …}

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Rational Numbers All the numbers that can be written as quotients of integers. Some can be written as terminating decimals All others are repeating decimals Examples:

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**Irrational Numbers Cannot be written as quotients of integers**

Decimals neither terminate nor repeat If a positive rational number is NOT a perfect square, then its square root is irrational Examples:

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**Real Numbers and subsets**

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**Properties of Real Numbers**

Let a, b, and c represent real numbers Property Addition Multiplication Closure is a real number Commutative Associative Identity Inverse Distributive

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Assignment P. 9 #62-86 Even

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Homework Finish classwork Get syllabus signed

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