SAT Study Guide/Part 2 - The Math Section/General Numerical Concepts

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Number properties[edit]

There are several sets of numbers:

  1. Counting or Natural numbers are numbers that can be used to count real things: 1, 2, 3,...
  2. Integers (including 0) include the natural numbers and their opposites: -3, -2, -1, 0, 1, 2, 3
    • Even integers are divisible by 2, and can be given by 2n, where n is any integer: 0, 2, 4, 6,...
    • Odd integers are not divisible by 2, and can be given by 2n-1, where n is any integer: -1, 1, 3, 5,...
  3. Rational numbers can be expressed as a fraction: -2, -1/2, 3/5, 7/15,...
  4. Irrational numbers are non-repeating, non-terminating decimals: π, e, √2
  5. Real numbers include all of the above.

Numbers can be prime. That is, they are divisible by themselves and one, only. 1 is not considered a prime number, and 2 is the only even prime number. The first eight prime numbers are: 2, 3, 5, 7, 11, 13, 17, 19,...