 # Classifying Numbers Natural Numbers Whole Numbers Integers Rational

• Slides: 26 Classifying Numbers Natural Numbers Whole Numbers Integers Rational Numbers Irrational Numbers Real Numbers Natural numbers consist of any positive number which does not have fractional parts. This set does not include zero. 1, 2, 3, 4, 5, 6, 7, … Fractions Mixed Numbers Negative Numbers Whole numbers consist of any positive number which does not have fractional parts. This set includes zero. 0, 1, 2, 3, 4, 5, 6, 7, … Fractions Mixed Numbers Negative Numbers Integers are whole numbers both positive and negative. This set also includes zero. …, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, … Fractions Mixed Numbers Negative Numbers Rational numbers include all integers as well as terminating & repeating decimals, fractions, and mixed number. …, -3, -2. 75, -2, -1, 0, ½, . 7, 1, 2, 3, 3. 5 … Fractions Mixed Numbers Negative Numbers Rational numbers include both integers and whole numbers. Rationals Integers Whole Numbers Natural Numbers Classify each number as whole, integer, or rational. You may give multiple names to each number. 1) . 7 2) -4 3) 2. 75 4) . 3 5) 25 6) -2½ Classify each number as whole, integer, or rational. You may give multiple names to each number. 1) . 7 2) -4 3) 2. 75 4) . 3 5) 25 6) -2½ rational Classify each number as whole, integer, or rational. You may give multiple names to each number. 1) . 7 rational 2) -4 integer, rational 3) 2. 75 4) . 3 5) 25 6) -2½ Classify each number as whole, integer, or rational. You may give multiple names to each number. 1) . 7 rational 2) -4 integer, rational 3) 2. 75 rational 4) . 3 5) 25 6) -2½ Classify each number as whole, integer, or rational. You may give multiple names to each number. 1) . 7 rational 2) -4 integer, rational 3) 2. 75 rational 4) . 3 5) 25 6) -2½ rational Classify each number as whole, integer, or rational. You may give multiple names to each number. 1) . 7 rational 2) -4 integer, rational 3) 2. 75 rational 4) . 3 rational 5) 25 whole, integer, rational 6) -2½ Classify each number as whole, integer, or rational. You may give multiple names to each number. 1) . 7 rational 2) -4 integer, rational 3) 2. 75 rational 4) . 3 rational 5) 25 whole, integer, rational 6) -2½ rational What isn’t a rational number These numbers are irrational. They are nonrepeating, nonterminating decimals. = 3. 141592653… Note: These are square roots of non-perfect squares. = 1. 414213562… = 2. 23606797… The set of rational numbers and irrational numbers comprise the set of real numbers. Rationals Integers Whole Natural Real Numbers Irrationals Decide whether each number is rational or irrational. 1) 2) 3) -6 4) 5) 2. 454545… 6) 7. 25 7) 8) Decide whether each number is rational or irrational. 1) rational 2) 3) -6 4) 5) 2. 454545… 6) 7. 25 7) 8) Decide whether each number is rational or irrational. 1) rational 2) irrational 3) -6 4) 5) 2. 454545… 6) 7. 25 7) 8) Decide whether each number is rational or irrational. 1) rational 2) irrational 3) -6 rational 4) 5) 2. 454545… 6) 7. 25 7) 8) Decide whether each number is rational or irrational. 1) rational 2) irrational 3) -6 4) rational 5) 2. 454545… 6) 7. 25 7) 8) Decide whether each number is rational or irrational. 1) rational 2) irrational 3) -6 4) rational 5) 2. 454545… rational 6) 7. 25 7) 8) Decide whether each number is rational or irrational. 1) rational 2) irrational 3) 4) -6 rational 5) 2. 454545… rational 6) 7. 25 rational 7) 8) Decide whether each number is rational or irrational. 1) rational 2) irrational 3) 4) -6 rational 5) 2. 454545… rational 6) 7. 25 rational 7) 8) irrational Decide whether each number is rational or irrational. 1) rational 2) irrational 3) 4) -6 rational 5) 2. 454545… rational 6) 7. 25 rational 7) irrational 8) irrational Rationals Integers Whole Natural Real Numbers Irrationals Numbers that are NOT real.