Test of Essential Academic Skills (TEAS) ATI Mathematics Practice Test

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Which of the following is listed in order from least to greatest?

-3/4, -7 3/4, -8, 18%, 0.25, 2.5
-8, -7 4/5, -3/4, 0.25, 2.5, 18%
18%, 0.25, -3/4, 2.5, -7 4/5, -8
-8, -7 4/5, -3/4, 18%, 0.25, 2.5

The correct answer is: -8, -7 4/5, -3/4, 18%, 0.25, 2.5

To determine why this answer is correct, it's essential to convert all the numbers into a comparable format to establish their values clearly. Here are the relevant conversions: - The fraction -3/4 is equivalent to -0.75. - The mixed number -7 3/4 can be expressed as -7.75. This is calculated by converting the mixed number into an improper fraction (-7 - 0.75) or simply recognizing it as -7.75. - The percentage 18% is equal to 0.18 when expressed as a decimal. - The decimal 0.25 remains as 0.25. - The decimal 2.5 is already in decimal format and remains as 2.5. Now, let's analyze the numbers based on their decimal values: 1. -8 is -8.00. 2. -7.75 is less than any positive value. 3. -0.75 is -3/4. 4. 0.18 is 18% converted. 5. 0.25 is a decimal. 6. 2.5 stands as is. When arranged in order from least to greatest: -8 (the smallest), -7.75 (or -7