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Order the following values from least to greatest.

|4.5|

|-2|

-7
3

Order the following values from least to greatest.\newline4.5273|4.5| \quad |-2| \quad -7 \quad 3

Full solution

Q. Order the following values from least to greatest.\newline4.5273|4.5| \quad |-2| \quad -7 \quad 3
  1. Find absolute value of 44.55: Find the absolute value of 4.5|4.5|.\newlineThe absolute value of a number is its distance from zero on the number line, regardless of direction. Therefore, 4.5=4.5|4.5| = 4.5.
  2. Find absolute value of 2-2: Find the absolute value of 2|-2|.\newlineSimilarly, the absolute value of 2|-2| is 22 because 2=2|-2| = 2.
  3. Compare absolute values and other numbers: Compare the absolute values and the other numbers.\newlineWe have the absolute values 4.5=4.5|4.5| = 4.5 and 2=2|-2| = 2, along with the numbers 7-7 and 33. We need to compare these to order them from least to greatest.
  4. Identify the least value: Identify the least value.\newlineThe least value among the numbers is 7-7 because it is the only negative number and it is less than the absolute values and the positive number 33.
  5. Order the remaining values: Order the remaining values.\newlineAfter 7-7, the next smallest value is the absolute value of 2|-2|, which is 22. Following that, the next smallest is 33, and finally, the largest value is 4.5|4.5|, which is 4.54.5.
  6. Write the final ordered list: Write the final ordered list.\newlineThe values in order from least to greatest are: 7-7, 22, 33, 4.54.5.

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