Order the set of numbers from least to greatest: square root 64, 8 and 1 over 7, 8.14 repeating 14, 15 over 2 a 15 over 2, square root 64, 8 and 1 over 7, 8.14 repeating 14 b 8 and 1 over 7, 8.14 repeating 14, square root 64, 15 over 2 c square root 64, 8 and 1 over 7, 8.14 repeating 14, 15 over 2 d 15 over 2, square root 64, 8.14 repeating 14, 8 and 1 over 7

First, some rewriting:





Why? If , then , which means , and so .



So from the four given numbers, it's obvious that is the smallest, followed by . So you just need to determine which of and is smallest.

Note that



To easily compare this number to , we need to find a common denominator. The greatest common divisor of 7 and 99 is 1 (they are relatively prime), so . So we write




So we find that , that is, .

So the proper ordering from least to greatest is