Question

Which shows the list of numbers in order from least to greatest?

|-3|,|3^2|,|-2|,|3.5|,-1.

A) |-3|, |-2|, -1, |3.5|, |3^2|
B) |-2|, -1, |3.5|, |-3|, |3^2|
C) -1, |-2|, |-3|, |3^2|, |3.5|
D) -1, |-3|, |-2|, |3.5|, |3^2|

Answer 1

To order the list of numbers from least to greatest, calculate the absolute values and then compare: -1 (no absolute value needed), 2 (absolute value of -2), 3 (absolute value of -3), 3.5 (absolute value of 3.5), and 9 (absolute value of 3 squared). Thus, the correct order is D) -1, |-2|, |-3|, |3.5|, |3^2|.

Step-by-step explanation:

The question involves ordering absolute values of numbers from least to greatest. Here’s how to do it step by step:

• |-3| is the absolute value of -3, which is 3.
• |3^2| is the absolute value of 3 squared, which is 9.
• |-2| is the absolute value of -2, which is 2.
• |3.5| is the absolute value of 3.5, which is 3.5.
• -1 is just -1, since it's not inside absolute value brackets.

Now, we order these values from least to greatest: -1, 2, 3, 3.5, 9. So the correct answer, when we match these values back to their original form in the question, is:

D) -1, |-2|, |-3|, |3.5|, |3^2|