1-1 Properties of Real Numbers

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Presentation transcript:

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.

Key Vocabulary Opposite Additive Inverse Reciprocal Multiplicative Inverse Absolute value of a real number

Essential Question What is a real number?

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

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

Integers The natural numbers, their opposites, and zero {…, -4, -3, -2, -1, 0, 1, 2, 3, 4, …}

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:

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:

Real Numbers and subsets

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

Assignment P. 9 #62-86 Even

Homework Finish classwork Get syllabus signed