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http://www.math.harvard.edu/~knill/mathmovies/swf/bartproblem.html. Natural counting numbers. Natural Numbers -. 1, 2, 3, 4 …. Whole Numbers -. Natural counting numbers and zero. 0, 1, 2, 3 …. Integers -. Whole numbers and their opposites. … -3, -2, -1, 0, 1, 2, 3 …. Rational Numbers -.
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http://www.math.harvard.edu/~knill/mathmovies/swf/bartproblem.htmlhttp://www.math.harvard.edu/~knill/mathmovies/swf/bartproblem.html
Natural counting numbers. Natural Numbers - 1, 2, 3, 4 … Whole Numbers - Natural counting numbers and zero. 0, 1, 2, 3 … Integers - Whole numbers and their opposites. … -3, -2, -1, 0, 1, 2, 3 … Rational Numbers - Integers, fractions, and decimals. Ex:
Venn Diagram: Naturals, Wholes, Integers, Rationals Rationals Integers Wholes Naturals
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.) Rational Numbers
Rational Number examples: 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
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. Irrational Numbers
= 3.141592654….. = 1.414213562….. .6781011132… Examples of irrational numbers are:
http://web.archive.org/web/20070818074103/http://regentsprep.org/Regents/Math/rational/Prat.htmhttp://web.archive.org/web/20070818074103/http://regentsprep.org/Regents/Math/rational/Prat.htm Practice