Order the numbers from greatest to least - use the number line to help you visualize correct placement:

Largest number first

Smallest number last

(6 points)
Arrange responses in the correct order to answer the question. Select a response, navigate to the desired position and insert response at that position. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can be moved using the up and down arrow keys or by dragging with a mouse.

3/27

7/3

-/45

/15

0

-0. 0123456

1 answer

To order the numbers from greatest to least, we first need to convert them into a comparable format. Here are the numbers listed as they are:

  1. \( \frac{3}{27} \) = \( \frac{1}{9} \) ≈ 0.111
  2. \( \frac{7}{3} \) ≈ 2.333
  3. \(-45\)
  4. \(\frac{1}{15}\) ≈ 0.067
  5. \(0\)
  6. \(-0.0123456\) (this is negative and will be less than 0)

Now, we can evaluate and order them:

  • Largest: \( \frac{7}{3} \approx 2.333\)
  • \(0\)
  • \( \frac{1}{9} \approx 0.111\)
  • \( \frac{1}{15} \approx 0.067\)
  • \(-0.0123456\)
  • Smallest: \(-45\)

Order from greatest to least:

  1. \( \frac{7}{3} \)
  2. \(0\)
  3. \( \frac{3}{27} \)
  4. \( \frac{1}{15} \)
  5. \(-0.0123456\)
  6. \(-45\)

Final ordered list from greatest to least is:

  • \( \frac{7}{3} \)
  • \(0\)
  • \( \frac{3}{27} \)
  • \( \frac{1}{15} \)
  • \(-0.0123456\)
  • \(-45\)