Question

in 34 - 37, order the numbers from least to greatest.

1. | - 12|, |13/4|, | - 20.5|, |2|
2. |10|, | - 3|, |0|, | - 5.25|
3. | - 6|, | - 4|, |11|, |0|
4. |4|, | - 3|, | - 18|, | - 3.18|

Explanation:

Step1: Recall absolute - value definition

The absolute - value of a number \(|a|\) is the non - negative value of \(a\). If \(a\geq0\), then \(|a| = a\); if \(a\lt0\), then \(|a|=-a\).

Step2: Calculate absolute - values for 34

\(|-12| = 12\), \(|13| = 13\), \(|4| = 4\), \(|-20.5| = 20.5\), \(|2| = 2\). Ordering these from least to greatest: \(2,4,12,13,20.5\).

Step3: Calculate absolute - values for 35

\(|10| = 10\), \(|-3| = 3\), \(|0| = 0\), \(|-5.25| = 5.25\). Ordering these from least to greatest: \(0,3,5.25,10\).

Step4: Calculate absolute - values for 36

\(|-6| = 6\), \(|-4| = 4\), \(|11| = 11\), \(|0| = 0\). Ordering these from least to greatest: \(0,4,6,11\).

Step5: Calculate absolute - values for 37

\(|4| = 4\), \(|-3| = 3\), \(|-18| = 18\), \(|-2.18| = 2.18\). Ordering these from least to greatest: \(2.18,3,4,18\).

Answer:

34: \(|2|,|4|,|-12|,|13|,|-20.5|\)
35: \(|0|,|-3|,|-5.25|,|10|\)
36: \(|0|,|-4|,|-6|,|11|\)
37: \(|-2.18|,|-3|,|4|,|-18|\)