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MATH-UA 120 Lecture Notes - Lecture 3: Irrational Number, Polynomial Long Division, Coefficient

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9 Aug 2016

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New York University

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Real numbers and subsets of real numbers. (1) The natural (or counting) numbers are 1, 2, 3, 4, 5, etc. The set of natural numbers, {1, 2, 3, 4, 5, }, is sometimes written n for short. The whole numbers are the natural numbers together with 0. The integers are the set of real numbers consisting of the natural numbers, their additive inverses and zero. {, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5} the set of integers is sometimes written j or z for short. The rational numbers are those numbers which can be expressed as a ratio between two integers. For example, the fractions 1/3 and 1111/8 are both rational numbers. All the integers are included in the rational numbers, since any integer z can be written as the ratio z/1. All decimals which terminate are rational numbers (since 8. 27 can be written as.

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