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Order the following numbers from greatest to least.
Put the greatest number on the left.

-4.5

-(4)/(5)
1.25
-2

Order the following numbers from greatest to least. $\newline$ Put the greatest number on the left. $\newline$ $-4.5 \quad-\frac{4}{5} \quad 1.25 \quad-2$

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Simplify radical expressions involving fractions

Full solution

Q. Order the following numbers from greatest to least.

\newline

Put the greatest number on the left.

\newline

-4.5 \quad-\frac{4}{5} \quad 1.25 \quad-2

List Numbers: First, let's list the numbers to have a clear view of what we are comparing: $\newline$ $-4.5$ , $-\frac{4}{5}$ , $1.25$ , $-2$
Compare Positive Numbers: Now, let's compare the positive numbers. We have only one positive number, which is $1.25$ . This is automatically the greatest number because all other numbers are negative.
Compare Negative Numbers: Next, we compare the negative numbers. Remember that the more negative a number is, the smaller it is. So, we need to find the least negative number to place it next after the positive number. Between $-4.5$ , $-\frac{4}{5}$ , and $-2$ , the least negative is $-2$ .
Compare $-4.5$ and $-\left(\frac{4}{5}\right)$ : Now, we need to compare $-4.5$ and $-\left(\frac{4}{5}\right)$ . Since $\frac{4}{5}$ is less than $1$ , and $-4.5$ is less than $-1$ , $-4.5$ is smaller than $-\left(\frac{4}{5}\right)$ . Therefore, $-\left(\frac{4}{5}\right)$ comes next after $-\left(\frac{4}{5}\right)$ $1$ .
Place $-4.5$ : Finally, we place $-4.5$ as the smallest number in our list.

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