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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.