Question

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)


-0.0123456...
7/3
0
radicand15
3above radicand27
negative radicand 45


put in order

Answer 1

To order the numbers from greatest to least, we first need to evaluate each term to see how they compare numerically.

1. **-0.0123456...**: This is a negative number, approximately -0.0123.
2. **7/3**: This fraction equals approximately 2.33.
3. **0**: This is the smallest non-negative number.
4. **√15**: The square root of 15 is approximately 3.87.
5. **3√27**: The cube root of 27 is 3, so this equals 3.
6. **-√45**: The square root of 45 is approximately 6.71, and since this is negative, it equals approximately -6.71.

Now we have the approximate values:

- -0.0123456... ≈ -0.0123
- 7/3 ≈ 2.33
- 0
- √15 ≈ 3.87
- 3√27 = 3
- -√45 ≈ -6.71

Now we can order these numbers from greatest to least:

1. **√15 ≈ 3.87**
2. **3√27 = 3**
3. **7/3 ≈ 2.33**
4. **0**
5. **-0.0123456... ≈ -0.0123**
6. **-√45 ≈ -6.71**

Putting it all together, the ordered list from greatest to least is:

1. √15
2. 3√27
3. 7/3
4. 0
5. -0.0123456...
6. -√45