1.3 Exploring Real Numbers Textbook pg 17

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.

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.

Real Numbers Rational NumbersIrrational Numbers Integers Whole Numbers

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

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

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

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

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

Comparing Using Inequalities › ‹ = ‹

Assignment # 3 Beginning on textbook page 20 Problems all, all, all, 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.