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Prove that a decimal number that terminates represents a rational number

Chapter 31, Problem 31.9

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QUESTION:

Prove that a decimal number that terminates represents a rational number.

Questions & Answers

QUESTION:

Prove that a decimal number that terminates represents a rational number.

ANSWER:

Step 1 of 2

A terminating decimal number  is of the form , where   are integrals and  for all i.

 

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