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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 − , −1, 0 , 1, √2, π, 6.35, 273 5 β stands for “quotient.” β Rational Numbers Irrational Numbers Can be expressed as a ratio of two Integers: a/b, (b ≠ 0); such ratios (fractions) can be expressed as terminating or repeating decimals 1 3 −6, − (−0.333 . . . ), 0, (0.75), 25 3 4 3 ∗ ππππ πππππ πππ ππππππππ: √100 = 10, √8 = 2 Non-Integer Rational Numbers Fractions, terminating and repeating decimals 1 9 13 (0.8181 . . . ), − (−0.5), (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 don’t simplify to whole numbers are irrational. *Odd roots (such as cube roots) that don’t simplify to whole numbers are irrational. ∗ ππ (π), πΈπΈπΈπΈπ ′ 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 . . . −3, −2, −1, 0, 1, 2, 3, . .. Positive Integers, including Zero 0. 1. 2, 3, . . . , 476, . .. Negative Integers . . . −476, . . . , −3, −2, −1 http://www.lsco.edu/learningcenter/math.asp β€ stands for “zahlen,” German for “numbers.” π Whole Numbers Negative Numbers Find this and other math resources on the LSC-O Learning Center Math Tutorials page. 3 −√2 , − √5 , √21, √81, √101 , π, β―, π Zero 0 β Natural Numbers Counting Numbers 1, 2, 3, . . . , 476, . . . EP, 7/2013