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Order the following values from least to greatest.

|25|quad|-14(1)/(4)|quad|-4|quad21

Order the following values from least to greatest. $\newline$ $|25| \quad\left|-14 \frac{1}{4}\right| \quad|-4| \quad 21$

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Absolute values of complex numbers

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Q. Order the following values from least to greatest.

\newline

|25| \quad\left|-14 \frac{1}{4}\right| \quad|-4| \quad 21

Calculate Absolute Values: Calculate the absolute value of each number. $\newline$ The absolute value of a number is its distance from zero on the number line, regardless of direction. Therefore, all absolute values are non-negative. $\newline$ - $|25|$ is the absolute value of $25$ , which is $25$ . $\newline$ - $|-14\frac{1}{4}|$ is the absolute value of $-14.25$ (since $\frac{1}{4}$ is $0.25$ ), which is $14.25$ . $\newline$ - $|-4|$ is the absolute value of $-4$ , which is $25$ $0$ . $\newline$ - The absolute value of $25$ $1$ is simply $25$ $1$ , since it is already a positive number.
Compare Absolute Values: Compare the absolute values to determine their order from least to greatest. $\newline$ We have the following absolute values: $25$ , $14.25$ , $4$ , and $21$ . $\newline$ Now we can order them from least to greatest: $\newline$ $4$ , $14.25$ , $21$ , $25$ .

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