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Warm Up Each square root is between two integers. Name the two integers. 119 10 and 11 15 3 and 4 Use a calculator to find each value. Round to the nearest tenth. 2 1.4 123 11.1 The Real Number System Section 4.7 Objective: In this lesson you’ll: • Differentiate between rational and irrational numbers. (NS 1.4) Did you know???? Biologists classify animals based on shared characteristics. The horned lizard is an animal, a reptile, a lizard, and a gecko. Animal Reptile Lizard zzzzzz Gecko 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,…} 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 – 3.1415926.... » Real – rational numbers and irrational numbers. Real Numbers 4.5 27 Irrational Numbers Rational Numbers 0.3 4 Integers -1 10 11 -3 17 -7 2 Whole Numbers 0 Natural Numbers 1 3 2 e 11 Sets of Numbers – (using a tree map) 3 3.1415926.... Let’s practice Directions: Identify each number below as natural, whole, integer, rational, irrational, or real. More than one answer can apply. 7 8 0 Rational, real 9 Whole, integer, rational, real 4 5 integer, rational, real rational, real Let’s practice Directions: Identify each number below as natural, whole, integer, rational, irrational, or real. More than one answer can apply. 6 8 irrational, real Natural, Whole, integer, rational, real 16 25 Natural, Whole, integer, rational, real integer, rational, real Use <, >, or = to compare 2 3 = .6 12 12 = 1 > 21 7 < 6 5 = .25 5 8 < .65 5 9 > .5 7 6 3 10 < 1 3 5 20 Lesson Quiz Write all classifications that apply to each number. 2 real, irrational 25 0 not a real number 16 2 real, integer, rational 4 9 rational