Question

A teacher asks his students to write the numbers shown in order from least to greatest √115, 115/11, and 10.5624 Paul thinks the numbers are already in order. Sandra thinks the order should be reversed. who is right?

Answer 1

Two of the given numbers should be converted to the same format as the third number has. In this case, √115 and 115/11 should be converted to their decimal equivalents with four decimal places:

√115 = 10.7238

115/11 = 10.4545

10.5624

Having done this, we see immediately that the largest number is √115 = 10.7238.

In ascending order, the numbers are: 10.4545, 10.5624 and 10.7238,

corresponding to 115/11, 10.5624, √115