Full solution

Q. Order the following values from least to greatest.

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|4.5| \quad |-2| \quad -7 \quad 3

Find absolute value of $4$ . $5$ : Find the absolute value of $|4.5|$ . $\newline$ The absolute value of a number is its distance from zero on the number line, regardless of direction. Therefore, $|4.5| = 4.5$ .
Find absolute value of $-2$ : Find the absolute value of $|-2|$ . $\newline$ Similarly, the absolute value of $|-2|$ is $2$ because $|-2| = 2$ .
Compare absolute values and other numbers: Compare the absolute values and the other numbers. $\newline$ We have the absolute values $|4.5| = 4.5$ and $|-2| = 2$ , along with the numbers $-7$ and $3$ . We need to compare these to order them from least to greatest.
Identify the least value: Identify the least value. $\newline$ The least value among the numbers is $-7$ because it is the only negative number and it is less than the absolute values and the positive number $3$ .
Order the remaining values: Order the remaining values. $\newline$ After $-7$ , the next smallest value is the absolute value of $|-2|$ , which is $2$ . Following that, the next smallest is $3$ , and finally, the largest value is $|4.5|$ , which is $4.5$ .
Write the final ordered list: Write the final ordered list. $\newline$ The values in order from least to greatest are: $-7$ , $2$ , $3$ , $4.5$ .