 # Classifying Numbers Whole Numbers Integers Rational Numbers Irrational Numbers Real Numbers.

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Classifying Numbers Whole Numbers Integers Rational Numbers Irrational Numbers Real Numbers

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

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

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

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

What isn’t a rational number

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

Rational numbers include both integers and whole numbers.
Rationals Integers Whole Numbers

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

The set of rational numbers and irrational numbers comprise the set of real numbers.
Rationals Irrationals Integers Whole Numbers

Decide whether each number is rational or irrational.
1) 2) 3) ) 5) … 6) ) )

Decide whether each number is rational or irrational.

Decide whether each number is rational or irrational.
1) rational 2) irrational 3) ) 5) … 6) ) )

Decide whether each number is rational or irrational.
1) rational 2) irrational 3) rational 4) 5) … 6) ) )

Decide whether each number is rational or irrational.
1) rational 2) irrational 3) rational 4) rational 5) … 6) ) )

Decide whether each number is rational or irrational.
1) rational 2) irrational 3) rational 4) rational 5) … rational 6) ) )

Decide whether each number is rational or irrational.
1) rational 2) irrational 3) rational 4) rational 5) … rational 6) rational 7) )

Decide whether each number is rational or irrational.
1) rational 2) irrational 3) rational 4) rational 5) … rational 6) rational 7) irrational 8)

Decide whether each number is rational or irrational.
1) rational 2) irrational 3) rational 4) rational 5) … rational 6) rational 7) irrational 8) irrational

What isn’t a real number

These “numbers” are NOT real numbers.
You cannot find the square root of a negative number. You cannot divide by zero.

Classify each number as real or not real.
1) 2) 3) 4) 5)

Classify each number as real or not real.

Classify each number as real or not real.
1) Not real 2) Real 3) 4) 5)

Classify each number as real or not real.
1) Not real 2) Real 3) Real 4) 5)

Classify each number as real or not real.
1) Not real 2) Real 3) Real 4) Not real 5)

Classify each number as real or not real.
1) Not real 2) Real 3) Real 4) Not real 5) Not real

Whole Numbers

Integers

Rational Numbers

Irrational Numbers π

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

Give 2 examples of each kind of number.
Real Numbers Numbers that are NOT real. Rationals Integers Irrationals Whole Numbers

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