Respuesta :

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.

[tex]0.285714\text{ = }\frac{285714}{1000000}[/tex]

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.