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Basic Definitions Relating to Numbers
  • A Number is a quantity.

  • A Numeral is a symbol that represents a number.

  • Natural Numbers are the normal whole numbers used for counting and ordering.

  • A Cardinal Number is a natural number used for counting (e.g. 1, 2, 3 ...).

  • An Ordinal Number is a natural number used for ordering (e.g. 1st, 2nd, 3rd, ...).

  • A Whole Number is a number that is not a fractional number.

  • Positive Integers are the counting numbers or natural numbers (i.e. 1, 2, 3, ...).

  • Negative Integers are the whole numbers less than zero (i.e. -1, -2, -3, ...).

  • Non-negative Integers are the positive integers and zero (i.e. 0, 1, 2, 3, ...).

  • Integers are the positive and negative whole numbers (i.e. ..., -3, -2, -1, 0, 1, 2, 3, ...).

  • Rational Numbers can be written as a ratio of one number to another.

  • Integers are rational numbers with a denominator of 1.

  • Fractions are rational numbers that are written with a numerator and a denominator.

  • Irrational Numbers cannot be written as a ratio (e.g. pi and the square root of 2).

  • Real Numbers include all the rational and irrational numbers and can be positive, negative or zero.





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