1. 1.3 Exploring Real Numbers Textbook pg 17

2. Terminology Natural Numbers: {1, 2, 3, 4, 5, 6,…} Whole Numbers: {0, 1, 2, 3, 4, 5,…} Integers: {…,-3, -2, -1, 0, 1, 2, 3, …} A Rational Number is any number that can be written in the form where b≠0 and a and b are integers, or as a terminating or repeating decimal.

3. An Irrational Number is any number that cannot be written in the form where b≠0 and a and b are integers, or as a terminating or repeating decimal. Together, rational and irrational numbers for the set of Real Numbers.

4. Real Numbers Rational NumbersIrrational Numbers Integers Whole Numbers

5. Any example that proves a statement false is a Counterexample. –All odd numbers end in 3 –Counter example: 25

6. To find the Opposite of a number, change its sign. The opposite of positive is negative –The opposite of 3 is -3 The opposite of negative is positive –The opposite of -10 is 10

7. Absolute Value A number’s absolute value is its distance away from Zero on the number line Absolute Value is ALWAYS positive because you cannot have negative distance

8. Find Each Absolute Value = 4 = 21 = ½ = 2 = 48

9. An Inequality is a mathematical sentence that compares the value of two expressions using an inequality symbol such as: ‹ › ≤ ≥ ≠ Less Than Greater Than Less Than OR Equal To Greater Than OR Equal To Not Equal To

10. Comparing Using Inequalities › ‹ = ‹

11. Assignment # 3 Beginning on textbook page 20 Problems 42-63 all, 68-72 all, 79-85 all, 87-95 odd Write all problems except for the word problems. Show all of your work. Do not pack up until instructed to do so by the teacher.