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Arithmetic/Types of Numbers/Integer Number

< Arithmetic | Types of Numbers
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An integer number is any of: a positive whole number (a positive integer), a negative whole number (a negative integer), or zero.

Positive Integer

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A Positive Integer is a natural number greater than 0, i.e. a whole number. A Positive Integer can be expressed mathematically:

I > 0 = {+1,+2,+3,+4,+5,+6,+7,+8,+9,...}

Positive numbers are often written without a + sign:

I > 0 = {1,2,3,4,5,6,7,8,9,...}

Negative Integer

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A Negative Integer is a negative whole number. This is represented by a - sign on the left side of the value.

I < 0 = {-1,-2,-3,-4,-5,-6,-7,-8,-9,...}

Number Zero

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The Integers include a new number, 0.

Rules

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  1. a + 0 = a
  2. a - 0 = a
  3. a × 0 = 0
  4. a / 0 is not defined.
  5. a + a = 2a
  6. a - a = 0
  7. a × a = a2
  8. a / a = 1 (except for a = 0, which is not defined, see rule 4)
  9. a - (-a) = 2a
  10. a × (-a) = - a2
  11. a / (-a) = -1 (except for a = 0, which is not defined, see rule 4)
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