Answer :

We start with the numbers:

[tex]$$
-\frac{18}{20}, \quad 5, \quad -0.7.
$$[/tex]

Step 1. Convert the fraction to a decimal

The number [tex]$-\frac{18}{20}$[/tex] can be simplified by performing the division:

[tex]$$
-\frac{18}{20} = -0.9.
$$[/tex]

Now the numbers are:

[tex]$$
-0.9, \quad 5, \quad -0.7.
$$[/tex]

Step 2. Compare the numbers

Remember that on the number line, more negative numbers are considered smaller. We compare [tex]$-0.9$[/tex] and [tex]$-0.7$[/tex]:

- Since [tex]$-0.9 < -0.7$[/tex], the smallest number is [tex]$-0.9$[/tex].
- The next number, being less negative, is [tex]$-0.7$[/tex].
- Finally, [tex]$5$[/tex] is the largest because it is positive and greater than both negative numbers.

Step 3. Write the numbers in order from least to greatest

Thus, the order from least to greatest is:

[tex]$$
-\frac{18}{20}, \quad -0.7, \quad 5.
$$[/tex]

So the final answer is:

[tex]$$
-\frac{18}{20} < -0.7 < 5.
$$[/tex]

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Rewritten by : Barada