Question
largest to smallest
-0.0123456...
square root of 15
cubed square root of 27
0
7/3
-square root of 45
-0.0123456...
square root of 15
cubed square root of 27
0
7/3
-square root of 45
Answers
GPT-4o mini
To compare the values and order them from largest to smallest, let’s evaluate each expression:
1. **-0.0123456...** (which is a negative decimal, approximately -0.0123)
2. **Square root of 15**:
\[
\sqrt{15} \approx 3.872 (since 3.872 * 3.872 \approx 15)
\]
3. **Cubed square root of 27**:
\[
\sqrt[3]{27} = 3
\]
So, the expression means \(3^2 = 9\).
4. **0**
5. **7/3**:
\[
7/3 \approx 2.33
\]
6. **-square root of 45**:
\[
-\sqrt{45} \approx -6.708 (since \sqrt{45} \approx 6.708)
\]
Now, arranging these values in order from largest to smallest:
1. **Square root of 15**: \(\approx 3.872\)
2. **Cubed square root of 27**: \(9\)
3. **7/3**: \(\approx 2.33\)
4. **0**
5. **-0.0123456...**
6. **-square root of 45**: \(\approx -6.708\)
Putting them together:
1. \( \sqrt{15} \)
2. \( 9 \) (cubed square root of 27)
3. \( 7/3 \)
4. \( 0 \)
5. \( -0.0123456... \)
6. \( -\sqrt{45} \)
Final ordered list from largest to smallest:
1. \( \sqrt{15} \)
2. \( 9 \)
3. \( \frac{7}{3} \)
4. \( 0 \)
5. \( -0.0123456... \)
6. \( -\sqrt{45} \)
1. **-0.0123456...** (which is a negative decimal, approximately -0.0123)
2. **Square root of 15**:
\[
\sqrt{15} \approx 3.872 (since 3.872 * 3.872 \approx 15)
\]
3. **Cubed square root of 27**:
\[
\sqrt[3]{27} = 3
\]
So, the expression means \(3^2 = 9\).
4. **0**
5. **7/3**:
\[
7/3 \approx 2.33
\]
6. **-square root of 45**:
\[
-\sqrt{45} \approx -6.708 (since \sqrt{45} \approx 6.708)
\]
Now, arranging these values in order from largest to smallest:
1. **Square root of 15**: \(\approx 3.872\)
2. **Cubed square root of 27**: \(9\)
3. **7/3**: \(\approx 2.33\)
4. **0**
5. **-0.0123456...**
6. **-square root of 45**: \(\approx -6.708\)
Putting them together:
1. \( \sqrt{15} \)
2. \( 9 \) (cubed square root of 27)
3. \( 7/3 \)
4. \( 0 \)
5. \( -0.0123456... \)
6. \( -\sqrt{45} \)
Final ordered list from largest to smallest:
1. \( \sqrt{15} \)
2. \( 9 \)
3. \( \frac{7}{3} \)
4. \( 0 \)
5. \( -0.0123456... \)
6. \( -\sqrt{45} \)