Question

absolute value coloring practice
name mukoriya
evaluate each absolute - value expression below. circle your answer to the right. then color the design.

1. |-4| -4 4 0 2 red yellow green blue
2. |8| 8 0 -8 4 purple blue orange red
3. -|-2| 0 2 -1 -2 green orange yellow blue
4. |-3|+|6| 3 -9 -3 9 purple red orange green
5. |3 - 5| 2 8 -2 -8 orange blue green purple
6. -7+|-3| 10 4 -4 -10 orange red yellow blue
7. |-8|-|4| 4 12 -12 -4 red purple green orange
8. 9 - |-1| 10 -10 -8 8 yellow blue red purple
9. 2|-5|+3|1| 7 13 -7 -13 orange green purple yellow
10. 2|-6 - 4| -20 4 20 -4 green red blue orange

the numbers in the design refer to the question numbers.
use your answers to know which color to use.

Explanation:

Step1: Recall absolute - value definition

The absolute value of a number \(a\), denoted as \(|a|\), is the non - negative value of \(a\). If \(a\geq0\), then \(|a| = a\); if \(a<0\), then \(|a|=-a\).

Step2: Evaluate \(| - 4|\)

Since \(-4<0\), \(| - 4|=-(-4) = 4\) (yellow).

Step3: Evaluate \(|8|\)

Since \(8\geq0\), \(|8| = 8\) (purple).

Step4: Evaluate \(-| - 2|\)

First, \(| - 2| = 2\) because \(-2<0\). Then \(-| - 2|=-2\) (blue).

Step5: Evaluate \(| - 3|+|6|\)

\(| - 3| = 3\) and \(|6| = 6\), so \(| - 3|+|6|=3 + 6=9\) (green).

Step6: Evaluate \(|3 - 5|\)

First, \(3-5=-2\). Then \(|3 - 5|=| - 2| = 2\) (orange).

Step7: Evaluate \(-7+| - 3|\)

\(| - 3| = 3\), so \(-7+| - 3|=-7 + 3=-4\) (yellow).

Step8: Evaluate \(| - 8|-|4|\)

\(| - 8| = 8\) and \(|4| = 4\), so \(| - 8|-|4|=8 - 4 = 4\) (red).

Step9: Evaluate \(9-| - 1|\)

\(| - 1| = 1\), so \(9-| - 1|=9 - 1 = 8\) (purple).

Step10: Evaluate \(2| - 5|+3|1|\)

\(| - 5| = 5\) and \(|1| = 1\), so \(2| - 5|+3|1|=2\times5+3\times1=10 + 3=13\) (green).

Step11: Evaluate \(2| - 6-4|\)

First, \(-6 - 4=-10\). Then \(| - 6-4|=| - 10| = 10\), and \(2| - 6-4|=2\times10 = 20\) (blue).

Answer:

1. 4 (yellow)
2. 8 (purple)
3. -2 (blue)
4. 9 (green)
5. 2 (orange)
6. -4 (yellow)
7. 4 (red)
8. 8 (purple)
9. 13 (green)
10. 20 (blue)