WarmUp 12 Monday 928 Homework Monday 928 Lesson

Warm-Up #12 (Monday, 9/28) •

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 nonperfect “squares” Pi= 3. 14…

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 0 186 -934

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

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

Rational and Irrational Numbers Combining Rationals and Irrationals Determine whether the following are rational or irrational. (a) 0. 73 rational (f) (b) (c) 0. 666…. rational irrational (g) irrational (h) (k) irrational (e) irrational (i) rational irrational (j) (d) 3. 142 (j) rational irrational (l) rational