Question

0) How do the values compare? Order the values from least to greatest.

-2 1/4. 1 1/4. -1 3/4. -2 1/4. 3/4. -1 1/4​

Answer 1

In mathematics, the geometric mean is a mean or average, which indicates the central tendency or typical value of a set of numbers by using the product of their values (as opposed to the arithmetic mean which uses their sum).

Answer 2

`-2 \frac {1}{4}, -1 \frac {1}{4}, \frac {3}{4}, | 1 \frac {1}{4} |, | -1 \frac {3}{4} |, | -2 \frac {1}{4} |`

Explanation:

We start with this list of numbers:

`-2 \frac {1}{4}, | 1 \frac {1}{4} |, | -1 \frac {3}{4} |, | -2 \frac {1}{4} |, \frac {3}{4}, -1 \frac {1}{4}`

The lines on the outside of some of the values are absolute value markers, which means that we are looking at how far away the value is from 0 rather than the actual value itself. Therefore, for any negative numbers with these markers, they will be switched to positive. When we consider that, we now have this list of numbers:

`-2 \frac {1}{4}, 1 \frac {1}{4}, 1 \frac {3}{4}, 2 \frac {1}{4}, \frac {3}{4}, -1 \frac {1}{4}`

Now, we can put these in order from least to greatest, which gets us:

`-2 \frac {1}{4}, -1 \frac {1}{4}, \frac {3}{4}, 1 \frac {1}{4}, 1 \frac {3}{4}, 2 \frac {1}{4}`

Then, we put the absolute value markers back in for our final answer:

`-2 \frac {1}{4}, -1 \frac {1}{4}, \frac {3}{4}, | 1 \frac {1}{4} |, | -1 \frac {3}{4} |, | -2 \frac {1}{4} |`