Question

Which list shows the numbers below in order from least to greatest?5.78, -5.9, 58%, 23-5.9, 23. 5.78, 58%2.-5.9, 58%, 5.78-5.9, 23. 58%, 5.7858%, 23. 5.78, -5,9o

Answer 1

The numbers in the alternatives are the same, so we have to see which is the lowest to start with.

There are two negative ones: -5.9 and -23/4. Dividing the second one we have:

`-(23)/(4)=-5.75`

We can see that -5.9 is lower than -5.75. So we have only two alternatives left.

58% is equivalent of 58/100, so:

`(58)/(100)=0.58`

So 58% = 0.58, which is lower than 5.78.

So we have the order, from least to greatest:

-5.9, -23/4, 58%, 5.78.

This corresponds to the third alternative.