The Importance/Components of the Real Number System

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The Importance/Components of the RealNumber
System
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How many desserts do you see?
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How do we represent ten?
10
The number 0 is important for place values.
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Natural Numbers (Counting)N

• 1, 2, 3, .
• 1 2 3

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Whole Numbers (W)

• Natural numbers and 0
• 0, 1, 2, 3,
• 0 1 2 3

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Bank Account

• Balance 10.00
• Write a check 20.00
• New balance -10.00
• Deposit 10.00
• New balance 0.00

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Integers (Z)

• Whole numbers and negative numbers
• ,-3, -2, -1, 0, 1, 2, 3,
• -3 -2 -1 0 1 2 3

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How do we represent one slice of pizza from a
pizza with 8 total slices?

• 1/8

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Rational Numbers (Q)

• All numbers that can be expressed as ratios where
  the numerator and denominator are integers and
  the denominator cannot be 0.
• 1/2
• 2/3
• Decimals that repeat or terminate

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Irrational Numbers (Q)

• Numbers that cannot be expressed as ratios.
• Decimals that do not repeat or terminate.
• .1382846357108895
• 3.12654898703560508004584

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Real Numbers