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4. Error Analysis A classmate says that0.285714 is not a rational numberbecause it does not terminate. Explainher error.

User Grll
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the number 0.285714 is a rational number

To determine what the error is, first we need to understand the definition of a rational and non-rational number.

Rational numbers are numbers that can be expressed as the ratio of two integers. They are either finite or have a recurring nature.

An integer is referred as a whole number. It is not a fraction. It can be positive, negative or zero.

Irrational numbers are the opposite of rational numbers. They cannot be expressed as a ratio of two integers.

Now considering our question: 0.285714

We can tell this number is finite as we can as express it as a ratio of two integers.


0.285714\text{ = }(285714)/(1000000)

From the above, we can tell the number 0.285714 is a rational number. The error lies in the fact that the number was not repeated at any point.

User Rusan Kax
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