1. 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

2. Section 4.7 The Real Number System

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

4. 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

5. 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,…}

6. 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.

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

8. Sets of Numbers – (using a tree map)

9. 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

10. 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

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

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