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Warm Up Each square root is between two integers. Name the two integers. Use a calculator to find each value. Round to the nearest tenth. 10 and 11 3 and 4 1.4 11.1

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Section 4.7 The Real Number System

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Objective: In this lesson you’ll: Differentiate between rational and irrational numbers. (NS 1.4)

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Did you know???? Animal Reptile Biologists classify animals based on shared characteristics. The horned lizard is an animal, a reptile, a lizard, and a gecko. Lizard zzzzzz Gecko

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Words to know…. Naturals – natural counting numbers { 1, 2, 3, ….} Wholes – natural counting numbers and zero { 0,1, 2, 3....} Integers – Positive or negative natural numbers or zero { -2, -1, 0, 1, 2,…}

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Words to know…. Rational Number – any number which can be written as a fraction. Irrational Number – Any decimal number which can’t be written as a fraction. A non-terminating and non-repeating decimal. Example – » Real – rational numbers and irrational numbers.

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Real Numbers Rational Numbers Irrational Numbers 4.5 Integers Whole Numbers Natural Numbers -7 -3 0 1 2 3

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Sets of Numbers – (using a tree map)

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Let’s practice Directions: Identify each number below as natural, whole, integer, rational, irrational, or real. More than one answer can apply. Rational, real Whole, integer, rational, real integer, rational, real rational, real

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Let’s practice Directions: Identify each number below as natural, whole, integer, rational, irrational, or real. More than one answer can apply. irrational, real Natural, Whole, integer, rational, real integer, rational, real

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Use, or = to compare < = > < = > < =

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Lesson Quiz Write all classifications that apply to each number. real, irrational real, integer, rational not a real number rational

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