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Order the following values from least to greatest.

|86|quad-23quad-56quad(2)/(3)

Order the following values from least to greatest. $\newline$ $|86|-23 \quad-56 \quad \frac{2}{3}$

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Absolute values of complex numbers

Full solution

Q. Order the following values from least to greatest.

\newline

|86|-23 \quad-56 \quad \frac{2}{3}

Find Absolute Value: Determine the absolute value of $|86|$ . $\newline$ The absolute value of a number is the distance from zero on the number line, regardless of direction. So, $|86|$ is simply $86$ .
Compare Negative Integers: Compare the integers $-23$ and $-56$ . Since both numbers are negative, the number with the smaller absolute value is greater. $-23$ has a smaller absolute value than $-56$ , so $-23$ is greater than $-56$ .
Compare Fraction with Integers: Compare the fraction $(\frac{2}{3})$ with the integers. $\newline$ The fraction $(\frac{2}{3})$ is a positive number and is less than $1$ . When comparing positive and negative numbers, any positive number is greater than any negative number. Therefore, $(\frac{2}{3})$ is greater than $-23$ and $-56$ .
Order Numbers: Order the numbers from least to greatest. $\newline$ From the previous steps, we know that $-56$ is the smallest, followed by $-23$ , then $(2/3)$ , and finally $|86|$ which is the greatest. So the order from least to greatest is $-56$ , $-23$ , $(2/3)$ , $|86|$ .

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