Real+Numbers+(Standard+3)



 a SET is. ** ..a group of entities with one or more common characteristics. ** ** ex: real numbers, rational numbers, etc. **


 * a SUBSET is ** ... a small portion of a larger set.
 * ex ** : a is a subset of B if all parts of a are also in B.


 * the set of REAL NUMBERS ** ** are... ** numbers that can be written in decimal notation.
 * ex: ** 42 and -23/129


 * the set of RATIONAL NUMBERS are... ** real numbers that can be expressed as a simple fraction.
 * ex: ** 61/4, .005

 ** ex: pi
 * the set of IRRATIONAL NUMBERS are ** ...any real number that is not a rational number. decimals that do not terminate or repeat.

the set of NATURAL NUMBERS are...the real numbers in the set {1, 2, 3, 4, 5, ...}.

** the set of WHOLE NUMBERS are... ** all of the **** Natural Numbers {1, 2, 3, 4, 5, ...} & zero.

**  ** a REPEATING DECIMAL is... a decimal number with the same sequence (period) of digits repeating. ** ex: .24242424242424...
 * the set of INTEGERS ** ** are ** ...any real number that is a member of the set of the Natural Numbers {1, 2, 3, . . . }, the negatives of the Natural Numbers {-1, -2, -3, . . . }, and zero.

 ** ex: ** .232323232..= 23/99
 * to convert repeating decimals to fractions if the repeating number starts with the first number after the decimal point... ** simply write the period over as many 9's as there are digits in the period.

 ** ex: ** 0.125
 * a TERMINATING DECIMAL is ** ... a decimal numeral that ends after a finite number of decimal places. all succeeding place values are 0.


 * to convert terminating decimals to fractions...

** ex: .32 =32/100= 8/25

** Any nonzero number raised to the zero power equals ONE!!! ** *