a [The periods of recurring decimals] Let p be any prime other than 2 or 5. Explain why the cycle length of the recurring decimal equal to 1/p is n digits, where n is the least power of 10 that has remainder 1 when divided by p. b Use the factorisations of 10* – 1 given at the start of this exercise to predict the periods of the decimal representations of , 4, §. t. 0I and , then write each as a recurring decimal.
a [The periods of recurring decimals] Let p be any prime other than 2 or 5. Explain why the cycle length of the recurring decimal equal to 1/p is n digits, where n is the least power of 10 that has remainder 1 when divided by p. b Use the factorisations of 10* – 1 given at the start of this exercise to predict the periods of the decimal representations of , 4, §. t. 0I and , then write each as a recurring decimal.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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