ࡱ> 241Co bjbj ;PzfzfJ{A\͉p    LNNNNNN$ur{b r  _ttt.  LtLttt pٟt80͉t)d)t)ttrrd͉) : Below is a chart that we are going to fill in, but before we do, I want to explain the picture.   Largest SET of Numbers in this category (includes ALL other #s from this side ONLY + new): Ex: (______________________________)  Add to the previous SET to get a newly NAMED Set (includes all #s in second bubble + new): : Ex: (_____________________)  Add ONE thing to first SET to get a newly NAMED Set (includes all #s in first bubble + new): Ex: (_______________________)  Smallest SET of Numbers (least amount of numbers in the set): Examples: (__________________)  This side includes ONE special TYPE of # ONLY: Ex: (__________________________) NOW, lets complete the chart with the information you need to know.REAL NUMBERS: A rational or irrational number. Every point on a number line is a real number RATIONAL NUMBERS: The set of numbers that includes terminating decimals, Repeating decimals, fractions, and integers. All rational numbers can be written as a fraction. Ex: (-3, 1.75,  EMBED Equation.CWEE2 ,  EMBED Equation.CWEE2 , 4.25, 0)  INTEGERS: The set of whole numbers and their opposites. Ex: (, -3, -2, -1, 0 , 1, 2, 3, )  WHOLE NUMBERS: The set of natural numbers AND zero. Ex: (0, 1, 2, 3, 4, )  COUNTING (NATURAL) NUMBERS: The set of numbers you learn when you learn to count. Ex: (1, 2, 3, 4, )   EMBED Equation.CWEE2   EMBED Equation.CWEE2  IRRATIONAL NUMBERS: non-terminating (dont end) & non-repeating (no pattern) decimal numbers. Irrational Numbers cannot be written as a fraction.  EMBED Equation.CWEE2   EMBED Equation.CWEE2  A number can only be RATIONAL or IRRATIONAL, but never BOTH. RATIONAL #S may be broken down further into other categories, if applicable. A number, whether RATIONAL or IRRATIONAL, is ALWAYS REAL! Another way to explain the breakdown of REAL numbers. Consider the following number line illustrations:     ONE title for ENTIRE chart THIS side ONLY is broken down into 4 SMALLER categories starting with the SMALLEST bubble working outwards Chart is broken into TWO different MAJOR categories When you first learn about #s, you fill in #s on a number line starting with the # 1 and learn to count forever but, only this side of the # line RATIONAL #S INTEGERS WHOLE #S COUNTING #S Then you learn the concept of zero, but you dont forget about original #s. So, your # line gets longer REAL #S: (include all rational & irrational numbers) A number line is made up of ALL REAL #s (this includes all RATIONAL and IRRATIONAL #s) FINALLY, to complete your number line, you include IRRATIONAL #s. RATIONAL Numbers END Here, however, the final # line is below. 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