Arrange the following rational numbers in ascending order: \(-\frac{3}{4}\), \(\frac{5}{6}\), \(-\frac{2}{3}\), \(\frac{1}{2}\)
Answer
Finally, since all negative numbers are less than positive numbers, put the negative numbers first. So the final order is \(-\frac{3}{4}\), \(-\frac{2}{3}\), \(\frac{1}{2}\), \(\frac{5}{6}\)
Step 1 ：First, compare the two positive rational numbers \(\frac{5}{6}\) and \(\frac{1}{2}\). Since \(\frac{5}{6} > \frac{1}{2}\), arrange them as \(\frac{1}{2}\), \(\frac{5}{6}\)
Step 2 ：Next, compare the two negative rational numbers \(-\frac{3}{4}\) and \(-\frac{2}{3}\). Since \(-\frac{3}{4} < -\frac{2}{3}\), arrange them as \(-\frac{3}{4}\), \(-\frac{2}{3}\)
Step 3 ：Finally, since all negative numbers are less than positive numbers, put the negative numbers first. So the final order is \(-\frac{3}{4}\), \(-\frac{2}{3}\), \(\frac{1}{2}\), \(\frac{5}{6}\)
