Let S be the set of all rational numbers that can be expressed as a repeating decimal in the form 0.abcd, where at least one of the digits a, b, c, or d is nonzero. Let be the number of distinct numerators obtained when numbers in S are written as fractions in lowest terms. For example, both 4 and 410 are counted among the distinct numerators for numbers in S because 0.3636 = + and 0.1230 10. Find the remainder when N is divided by 1000. 3333
Let S be the set of all rational numbers that can be expressed as a repeating decimal in the form 0.abcd, where at least one of the digits a, b, c, or d is nonzero. Let be the number of distinct numerators obtained when numbers in S are written as fractions in lowest terms. For example, both 4 and 410 are counted among the distinct numerators for numbers in S because 0.3636 = + and 0.1230 10. Find the remainder when N is divided by 1000. 3333
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.2: Exponents And Radicals
Problem 92E
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