 However, the rational numbers still have “gaps”. For instance, if we consider the equation, \(y=x^3-2\), we can verify that there are values of \(x\) where \(y\) is negative, and values of \(x\) where \(y\) is positive. However, there is no rational number \(x\) for which \(y\) is exactly equal to 0. To fill these gaps, we construct the “real numbers”.