Math  /  Numbers & Operations

QuestionWhich list shows the absolute values in order from least to greatest? Select each correct answer. |21.95|. |-22.02|. |-22.11| 3.07,3.25,3.31|-3.07|,|-3.25|,|3.31| 7.38:7.39,7.41|-7.38|:|7.39|,|-7.41| 17.12:17.0817.06|-17.12|:|-17.08|| | 17.06 \mid

Studdy Solution

STEP 1

What is this asking? Which of these groups of numbers, when you ignore the negative signs, are in order from smallest to biggest? Watch out! Don't forget that absolute value means we're only looking at how *big* the number is, not whether it's positive or negative!

STEP 2

1. Evaluate the absolute values
2. Order the numbers

STEP 3

Let's **evaluate** the absolute values in the first group: 21.95 |21.95| , 22.02 |-22.02| , and 22.11 |-22.11| .
Remember, absolute value just makes the number inside positive!
So, 21.95 |21.95| becomes **21.95**, 22.02 |-22.02| becomes **22.02**, and 22.11 |-22.11| becomes **22.11**.

STEP 4

Now, let's do the second group: 3.07 |-3.07| , 3.25 |-3.25| , and 3.31 |3.31| . 3.07 |-3.07| becomes **3.07**, 3.25 |-3.25| becomes **3.25**, and 3.31 |3.31| becomes **3.31**.

STEP 5

On to the third group: 7.38 |-7.38| , 7.39 |7.39| , and 7.41 |-7.41| . 7.38 |-7.38| becomes **7.38**, 7.39 |7.39| becomes **7.39**, and 7.41 |-7.41| becomes **7.41**.

STEP 6

Finally, the fourth group: 17.12 |-17.12| , 17.08 |-17.08| , and 17.06 |17.06| . 17.12 |-17.12| becomes **17.12**, 17.08 |-17.08| becomes **17.08**, and 17.06 |17.06| becomes **17.06**.

STEP 7

From our **evaluated** absolute values, the first group is **21.95**, **22.02**, and **22.11**.
These are already in order from least to greatest!

STEP 8

The second group is **3.07**, **3.25**, and **3.31**.
These are also in order!
Awesome!

STEP 9

The third group is **7.38**, **7.39**, and **7.41**.
These are in order too!
We're on a roll!

STEP 10

The fourth group is **17.12**, **17.08**, and **17.06**.
Oops, this group is *not* in order.
It should be **17.06**, **17.08**, and then **17.12**.

STEP 11

The lists that show the absolute values in order from least to greatest are: 21.95 |21.95| , 22.02 |-22.02| , 22.11 |-22.11| 3.07 |-3.07| , 3.25 |-3.25| , 3.31 |3.31| 7.38 |-7.38| , 7.39 |7.39| , 7.41 |-7.41|

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