Download Lesson 2.2: Classifying Numbers 0 -4

Lesson 2.2: Classifying Numbers
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Natural Numbers: The counting numbers { 1, 2, 3, 4, 5…}
Whole Numbers: The set of counting numbers plus 0 { 0, 1, 2, 3, 4, 5…}
Integers: The set of natural numbers and their opposites plus 0 { -3. -2. -1, 0 , 1, 2, 3…}.
The set of integers does not include decimals or fractions.
Rational Numbers: Numbers that can be expressed as a ratio of 2 integers. Decimal
representations of rational numbers either terminate or repeat. (Examples: 2.375, 4, -0.25,
-0.14 )
Irrational Numbers: Numbers that can NOT be expressed as a ratio of 2 integers. Decimal
representation neither terminates nor repeats. (Examples:
Real Numbers: The set of rational and irrational numbers
Name: ____________________________________________
Algebra I (Lesson 2.2)
Number Practice
Page 1
Lesson: Classifying Numbers
Section I
Directions: Read and answer each of the questions. Write your answer below each question.
1.) How are the natural and whole numbers different?
2.) How are the integers and rational numbers different?
3.) How are the integers and rational numbers same?
4.) How are integers and whole numbers the same?
5.) Can a number be both rational and irrational? Use the diagram to explain your answer.
Section II
Directions: Read and answer each of the questions below. Write TRUE or FALSE on the line that’s provided for you. If
your answer is FALSE, explain why your answer is FALSE by using the diagram above.
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6.) -5 is a rational number.
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7.) 0 is an integer.
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8.)
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9.) -3.25 is an integer
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10.)
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11.)
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12.) 18 is a whole number
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13.) -
is a natural number
is rational
is a real number.
is an integer.
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14.) 2.434434443… is a rational number
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15.) 5.7 is rational
Algebra I (Lesson 2.2)
Page 2