#  es/swf/bartproblem.html es/swf/bartproblem.html.

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 http://www.math.harvard.edu/~knill/mathmovi es/swf/bartproblem.html http://www.math.harvard.edu/~knill/mathmovi es/swf/bartproblem.html

Whole numbers and their opposites. Natural Numbers - Natural counting numbers. 1, 2, 3, 4 … Whole Numbers - Natural counting numbers and zero. 0, 1, 2, 3 … Integers - … -3, -2, -1, 0, 1, 2, 3 … Integers, fractions, and decimals. Rational Numbers - Ex:

Venn Diagram: Naturals, Wholes, Integers, Rationals Naturals Wholes Integers Rationals

 What are RATIONAL Numbers?

 A number that can be expressed as a fraction or ratio (rational). The numerator and the denominator of the fraction are both integers.  When the fraction is divided out, it becomes a terminating or repeating decimal. ( Even a big, clunky fraction like 7,324,908/56,003,492 is rational, simply because it can be written as a fraction.)

6 can be written as: 6/1 or 6.0 -2 can be written as: -2/1 or -2.0 ½ can be written as: 0.5 -5/4 can be written as: -1.25 2/3 can be written as: ----.66

 What are IRRATIONAL Numbers?

 An irrational number can be written as a decimal, but not as a fraction.  In decimal form, irrational numbers do not repeat in a pattern nor do they terminate.

 = 3.141592654…..  = 1.414213562….. .6781011132…

 http://web.archive.org/web/20070818074103 /http://regentsprep.org/Regents/Math/rationa l/Prat.htm http://web.archive.org/web/20070818074103 /http://regentsprep.org/Regents/Math/rationa l/Prat.htm