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LSC-O Learning Center Real Number Chart β Real Numbers (409) 882-3373 Ron E. Lewis Library building, rm. 113 Includes all Rational and Irrational Numbers 3 β , β1, 0 , 1, β2, π, 6.35, 273 5 β stands for βquotient.β β Rational Numbers Irrational Numbers Can be expressed as a ratio of two Integers: a/b, (b β 0); such ratios (fractions) can be expressed as terminating or repeating decimals 1 3 β6, β (β0.333 . . . ), 0, (0.75), 25 3 4 3 β ππππ πππππ πππ ππππππππ: β100 = 10, β8 = 2 Non-Integer Rational Numbers Fractions, terminating and repeating decimals 1 9 13 (0.8181 . . . ), β (β0.5), (1.3) 2 11 10 All Real Numbers that are NOT Rational Numbers; cannot be expressed as fractions, only non-repeating, non-terminating decimals 3 *Even roots (such as square roots) that donβt simplify to whole numbers are irrational. *Odd roots (such as cube roots) that donβt simplify to whole numbers are irrational. β ππ (π), πΈπΈπΈπΈπ β² π ππππππ (β―), πππ π‘βπ πΊπΊπΊπΊπΊπΊ π π π π π (π) πππ ππππππππππ. β€ Integers Positive and Negative Non-fractional Rational Numbers, including Zero . . . β3, β2, β1, 0, 1, 2, 3, . .. Positive Integers, including Zero 0. 1. 2, 3, . . . , 476, . .. Negative Integers . . . β476, . . . , β3, β2, β1 http://www.lsco.edu/learningcenter/math.asp β€ stands for βzahlen,β German for βnumbers.β π Whole Numbers Negative Numbers Find this and other math resources on the LSC-O Learning Center Math Tutorials page. 3 ββ2 , β β5 , β21, β81, β101 , π, β―, π Zero 0 β Natural Numbers Counting Numbers 1, 2, 3, . . . , 476, . . . EP, 7/2013