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Completion requirements
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Evaluate the following.
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\(\left| {-767} \right| \)
\(\left| {-767} \right| = 767\)
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\(\left| {51} \right| \)
\(\left| {51} \right| = 51\)
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Write the following numbers in order from least to greatest.
\[\left| 3.5 \right|, \thinspace \left| {-5} \right|, \thinspace -\frac{3}{2}, \thinspace \left| 7 \right|, \thinspace -\left| {12} \right|, \thinspace \left| {\frac{{13}}{2}} \right|, \thinspace 16 \]Start by evaluating each number in decimals, where appropriate.
\(3.5\), \(5\), \(-1.5\), \(7\), \(-12\), \(6.5\), \(16\)
Now, arrange the decimal numbers from least to greatest.
\(-12\), \(-1.5\), \(3.5\), \(5\), \(6.5\), \(7\), \(16\)
Then, arrange the original numbers from least to greatest.\[-\left| 12 \right|, \thinspace -\frac{3}{2}, \thinspace \left| 3.5 \right|, \thinspace \left| -5 \right|, \thinspace \left| \frac{13}{2} \right|, \thinspace \left| 7 \right|, \thinspace 16\]