Lesson1.3

Lesson 1.3 Exploring Real NumbersDefinitions : 

Lesson 1.3 Exploring Real NumbersDefinitions Natural #’s are the counting #’s 1,2,3,…. Whole #’s are nonnegative integers, 0,1,2,3,…. Integers are whole #’s and their opposites -2, -1, 0, 1, 2, Rational #’s are real #’s that can be written as ratios of 2 integers (fractions). Rational #’s in decimal form are terminating or repeating.

Definitions 1.3 : 

Definitions 1.3 Irrational #’s are #’s that cannot be written as ratios of 2 integers (fractions). Irrational #’s in decimal form are nonterminating and nonrepeating. Real #’s are numbers that are either rational or irrational. Counterexample is any example that proves a statement false.

Example 1 : 

Name the set(s) of numbers to which each number belongs. a. –13 b. 3.28 integers rational numbers rational numbers Example 1 1-3

Try: : 

Try: Name the set(s) of #’s to which each # belongs. 5/12 Rational #’s -4.67 Rational #’s 6 Natural #’s, whole #’s, integers, rational #’s

Example 2 Real World : 

Which set of numbers is most reasonable for displaying outdoor temperatures? integers Example 2 Real World 1-3

Example 3 : 

Determine whether the statement is true or false. If it is false, give a counterexample. All negative numbers are integers. The statement is false. Example 3 1-3

Definitions 1.3 : 

Definitions 1.3 Inequality is a math sentence that compares the values of 2 expressions using an inequality symbol. Opposites are #’s that are the same distance from zero on a # line, but that lie in opposite directions. Absolute value is the distance that a # is from zero on a # line.

Lesson 1.3 : 

Write – , – , and – , in order from least to greatest. Lesson 1.3 1-3

Lesson 1.3 : 

Find each absolute value. a. |–2.5| b. |7| –2.5 is 2.5 units from 0 on a number line. 7 is 7 units from 0 on a number line. |–2.5| = 2.5 |7| = 7 Lesson 1.3 1-3

Slide 10: 

Time to start the assignment. If you need help, please ask.