Let's do this again: is 14/3 a rational number even though the calculator says .666666666667? Please answer all questions, thank you.
never mind! Someone already helped me. :]
A rational number is a number that can be written as a fraction.
14/3 is an improper fraction and thus rational.
To determine whether 14/3 is a rational number, we need to understand what a rational number is. A rational number is a number that can be expressed as the ratio of two integers, where the denominator is not zero.
In this case, 14/3 can be written as a fraction, which is the ratio of two integers. The numerator, 14, and denominator, 3, are both integers, satisfying the requirements for a rational number.
The calculator approximation of 0.666666666667 is due to the limited number of decimal places it displays. The exact decimal representation of 14/3 is a repeating decimal, which can be represented as 4.6666666666667..., where the digit 6 repeats infinitely.
Even though the calculator only displays a finite number of decimal digits, it doesn't change the fact that 14/3 is a rational number because it can be exactly expressed as a fraction.
In summary, yes, 14/3 is a rational number because it can be expressed as a fraction, even though the calculator approximation is .666666666667.