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

the number line is going up to 10 and at the bottom is negtive to -10
Largest number first.

answers
-0.0123456
3 square root symbol and 27

7/3

0

square root 15

- square root 45

2 answers

To order the numbers from greatest to least, we first need to evaluate them:

  1. -0.0123456: This is a negative number, very close to zero.
  2. 3√27: This can be calculated as \(3 \times \sqrt{27} = 3 \times (3\sqrt{3}) = 9\sqrt{3}\). Since \(\sqrt{3} \approx 1.732\), \(9\sqrt{3} \approx 15.588\).
  3. 7/3: This is approximately \(2.333\).
  4. 0: This is zero.
  5. √15: This is approximately \(3.872\) (since \(\sqrt{15} \approx 3.872\)).
  6. -√45: This is negative, specifically \(\sqrt{45} = 3\sqrt{5}\), which is approximately \(6.708\), so \(-\sqrt{45} \approx -6.708\).

Now, let's summarize the approximate values:

  • -0.0123456 (approximately -0.012)
  • 3√27 (approximately 15.588)
  • 7/3 (approximately 2.333)
  • 0
  • √15 (approximately 3.872)
  • -√45 (approximately -6.708)

Now, ordering these from greatest to least:

  1. 3√27 (approximately 15.588)
  2. √15 (approximately 3.872)
  3. 7/3 (approximately 2.333)
  4. 0
  5. -0.0123456
  6. -√45 (approximately -6.708)

So, the final order from greatest to least is:

  1. 3√27
  2. √15
  3. 7/3
  4. 0
  5. -0.0123456
  6. -√45
are u sure its correct?