Order the following values from least to greatest. $\newline$ $|94| \quad|-8| \quad-43 \quad 71 \frac{1}{3}$

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Algebra 2

Absolute values of complex numbers

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Q. Order the following values from least to greatest.

\newline

|94| \quad|-8| \quad-43 \quad 71 \frac{1}{3}

Find Absolute Value: Determine the absolute value of $|94|$ . $\newline$ The absolute value of a number is its distance from zero on the number line, regardless of direction. Therefore, $|94|$ is simply $94$ .
Evaluate Mixed Number: Determine the absolute value of $|-8|$ . $\newline$ The absolute value of $-8$ is $8$ , because it is $8$ units away from zero on the number line.
List Numbers: Evaluate the mixed number $71\frac{1}{3}$ . A mixed number consists of an integer and a fraction. To convert it to an improper fraction, multiply the whole number by the denominator of the fraction, add the numerator, and place the result over the original denominator. However, for ordering purposes, we can leave it as a mixed number since we are not performing arithmetic with it. $71\frac{1}{3}$ is simply $71 + \frac{1}{3}$ , which is slightly greater than $71$ .
Order Numbers: List the numbers in their current form. $\newline$ We have the following numbers: $94$ , $8$ , $-43$ , and $71\frac{1}{3}$ .
Order Numbers: List the numbers in their current form. $\newline$ We have the following numbers: $94$ , $8$ , $-43$ , and $71\frac{1}{3}$ .Order the numbers from least to greatest. $\newline$ The negative number will be the smallest, so $-43$ is the least. The next smallest is the absolute value of $-8$ , which is $8$ . Then comes $71\frac{1}{3}$ , which is slightly more than $71$ . The largest number is $94$ . $\newline$ So the order from least to greatest is: $-43$ , $8$ , $71\frac{1}{3}$ , $94$ .