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Classifying Numbers Whole Numbers Integers Rational Numbers Irrational Numbers Real Numbers

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Whole numbers consist of any positive number which does not have fractional parts. This set also includes zero. 0, 1, 2, 3, 4, 5, 6, 7, … Fractions Mixed Numbers Negative Numbers

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**Integers are whole numbers both positive and negative**

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

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**Notice that the set of whole numbers is included in the set of integers.**

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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 … Nonterminating, nonrepeating decimals

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**What isn’t a rational number**

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**These numbers are irrational**

These numbers are irrational. They are nonrepeating, nonterminating decimals. = … = … Note: These are square roots of non-perfect squares. = …

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**Rational numbers include both integers and whole numbers.**

Rationals Integers Whole Numbers

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**Classify each number as whole, integer, or rational**

Classify each number as whole, integer, or rational. You may give multiple names to each number. 1) .7 2) -4 3) ) .3 5) 25 6) -2½

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**Classify each number as whole, integer, or rational**

Classify each number as whole, integer, or rational. You may give multiple names to each number. 1) .7 rational 2) -4 3) ) .3 5) 25 6) -2½

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**Classify each number as whole, integer, or 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) ) .3 5) 25 6) -2½

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**Classify each number as whole, integer, or 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 5) 25 6) -2½

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**Classify each number as whole, integer, or 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 6) -2½

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**Classify each number as whole, integer, or 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

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**Classify each number as whole, integer, or rational**

Classify each number as whole, integer, or rational. You may give multiple names to each number. 1) 0.7 rational 2) -4 integer, rational 3) 2.75 rational 4) 0.3 rational 5) 25 whole, integer, rational 6) -2½ rational

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**Rationals Integers Whole Numbers**

Place the following numbers in the appropriate location on the diagram: ½ 6/ ¾ 4.0 Rationals Integers Whole Numbers

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**Rationals Integers Whole Numbers**

Place the following numbers in the appropriate location on the diagram: ½ 6/ ¾ 4.0 Rationals Integers -5 Whole Numbers

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**Rationals Integers Whole Numbers**

Place the following numbers in the appropriate location on the diagram: ½ 6/ ¾ 4.0 Rationals Integers 2.6 -5 Whole Numbers

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**Rationals Integers Whole Numbers**

Place the following numbers in the appropriate location on the diagram: ½ 6/ ¾ 4.0 Rationals Integers 2.6 -5 Whole Numbers

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**Rationals Integers Whole Numbers**

Place the following numbers in the appropriate location on the diagram: ½ 6/ ¾ 4.0 Rationals Integers 2.6 -5 Whole Numbers 6/1

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**Rationals Integers Whole Numbers**

Place the following numbers in the appropriate location on the diagram: ½ 6/ ¾ 4.0 Rationals Integers 2.6 -5 Whole Numbers 6/1

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**Rationals Integers Whole Numbers**

Place the following numbers in the appropriate location on the diagram: ½ 6/ ¾ 4.0 Rationals Integers 2.6 14 -5 Whole Numbers 6/1

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**Rationals Integers Whole Numbers**

Place the following numbers in the appropriate location on the diagram: ½ 6/ ¾ 4.0 Rationals Integers 2.6 14 -5 Whole Numbers 6/1 -4 ¾

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**Rationals Integers Whole Numbers**

Place the following numbers in the appropriate location on the diagram: ½ 6/ ¾ 4.0 Rationals Integers 2.6 14 -5 4.0 Whole Numbers 6/1 -4 ¾

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**The set of rational numbers and irrational numbers comprise the set of real numbers.**

Rationals Irrationals Integers Whole Numbers

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**Decide whether each number is rational or irrational.**

1) 2) 3) ) 5) … 6) ) )

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**Decide whether each number is rational or irrational.**

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**Decide whether each number is rational or irrational.**

1) rational 2) irrational 3) ) 5) … 6) ) )

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**Decide whether each number is rational or irrational.**

1) rational 2) irrational 3) rational 4) 5) … 6) ) )

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**Decide whether each number is rational or irrational.**

1) rational 2) irrational 3) rational 4) rational 5) … 6) ) )

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**Decide whether each number is rational or irrational.**

1) rational 2) irrational 3) rational 4) rational 5) … rational 6) ) )

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**Decide whether each number is rational or irrational.**

1) rational 2) irrational 3) rational 4) rational 5) … rational 6) rational 7) )

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**Decide whether each number is rational or irrational.**

1) rational 2) irrational 3) rational 4) rational 5) … rational 6) rational 7) irrational 8)

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**Decide whether each number is rational or irrational.**

1) rational 2) irrational 3) rational 4) rational 5) … rational 6) rational 7) irrational 8) irrational

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**What isn’t a real number**

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**These “numbers” are NOT real numbers.**

You cannot find the square root of a negative number. You cannot divide by zero.

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**Classify each number as real or not real.**

1) 2) 3) 4) 5)

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**Classify each number as real or not real.**

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**Classify each number as real or not real.**

1) Not real 2) Real 3) 4) 5)

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**Classify each number as real or not real.**

1) Not real 2) Real 3) Real 4) 5)

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**Classify each number as real or not real.**

1) Not real 2) Real 3) Real 4) Not real 5)

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**Classify each number as real or not real.**

1) Not real 2) Real 3) Real 4) Not real 5) Not real

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Whole Numbers

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Integers

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Rational Numbers

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Irrational Numbers π

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**+ REAL NUMBERS = Rational Numbers Irrational Numbers π -3 -2 -1 -.75**

+ Irrational Numbers π

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**Give 2 examples of each kind of number.**

Real Numbers Numbers that are NOT real. Rationals Integers Irrationals Whole Numbers

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