A classmate says that 0.285714 repeating is not a rational number because it does not terminate. Explain her error.
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11-08-2014
Mathematics

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A classmate says that 0.285714 repeating is not a rational number because it does not terminate. Explain her error.
I need help answering this

Sagot :

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Анонимidn Анонимidn · Answer 1 · 2014-08-11T17:25:15-04:00

Анонимidn Анонимidn

11-08-2014

It is a rational number because it can be put into a fraction using ordinary whole numbers.

On the other hand a fraction containing ordinary whole numbers isn't available for pi. Therefore, pi is irrational.

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MattDidn MattDidn · Answer 2 · 2014-08-11T17:25:39-04:00

MattDidn MattDidn

11-08-2014

A number that is repeated periodically is an irrational number! Error lies in the fact that if we have a decimal value and a string repeat it (at some time) it is an irrational number, that is, it can not be represented as a fraction. It is scientifically proven.

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