Warm-Up #12 (Monday, 9/28) 3 ∙ 27 3 5 ∙ 125 3 3 5 (2 5 − 125)

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Presentation transcript:

Warm-Up #12 (Monday, 9/28) 3 ∙ 27 3 5 ∙ 125 3 3 5 (2 5 − 125)

Homework (Monday, 9/28) Lesson 1.05 packet

Lesson 1.05 Rational and Irrational Numbers

My Thinking Process

Two Kinds of Real Numbers Rational Numbers Irrational Numbers

Rational Numbers A rational number is a real number that can be written as a ratio of two integers. A rational number written in decimal form is terminating or repeating.

Examples of Rational Numbers 16 1/2 3.56 -8 1.3333… - 3/4

Irrational Numbers An irrational number is a number that cannot be written as a ratio of two integers. Irrational numbers written as decimals are non-terminating and non-repeating.

Examples of Irrational Numbers Square roots of non- perfect “squares” Pi= 3.14… 17

What are integers? Integers are the whole numbers and their opposites. Integers are rational numbers because they can be written as fraction with 1 as the denominator. Examples of integers are 6 -12 186 -934

Rational and Irrational Numbers Example questions Show that is rational a rational Show that is rational b rational

Rational and Irrational Numbers Questions State whether each of the following are rational or irrational. a b c d irrational rational rational irrational e f g h irrational rational rational rational

Rational and Irrational Numbers Combining Rationals and Irrationals Determine whether the following are rational or irrational. (a) 0.73 (b) (c) 0.666…. (d) 3.142 (e) rational irrational rational rational irrational (f) (g) (h) (i) (j) irrational irrational rational rational irrational (j) (k) (l) irrational rational rational