text: #  es/swf/bartproblem.html es/swf/bartproblem.html.
  
  ## Presentation on theme: " es/swf/bartproblem.html es/swf/bartproblem.html."— Presentation transcript:
  
   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
metadata: {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0}