Place the numbers to the best spot possible on the number line. Click Here for Help VideoUndoRedoDRAG DROP VALUES135\sqrt{35}35​273\sqrt{73}73​352\frac{5}{2}25​420\sqrt{20}20​519681\sqrt{\frac{196}{81}}81196​​

Answer 1

To place the numbers on a number line, we first need to evaluate or approximate each value. Here's a breakdown of the given numbers:

1. 135: This is simply 135.

2. \(\sqrt{35}\):

   • \(\sqrt{35} \approx 5.92\) (since \(5.92^2 \approx 35\))

3. 35: This is simply 35.

4. 273: This is simply 273.

5. \(\frac{5}{2}\):

   • \(\frac{5}{2} = 2.5\)

6. \(\sqrt{20}\):

   • \(\sqrt{20} \approx 4.47\) (since \(4.47^2 \approx 20\))

7. 19: This is simply 19.

8. \(\sqrt{\frac{196}{81}}\):

   • \(\sqrt{\frac{196}{81}} = \frac{\sqrt{196}}{\sqrt{81}} = \frac{14}{9} \approx 1.56\)

9. 81: This is simply 81.

10. 196: This is simply 196.

Now we can approximate all the numbers:

• \(\frac{5}{2} \approx 2.5\)
• \(\sqrt{35} \approx 5.92\)
• \(\sqrt{20} \approx 4.47\)
• \(\sqrt{\frac{196}{81}} \approx 1.56\)
• 19
• 35
• 81
• 135
• 196
• 273

Next, we sort these values:

• \(\sqrt{\frac{196}{81}} \approx 1.56\)
• \(\frac{5}{2} = 2.5\)
• \(\sqrt{20} \approx 4.47\)
• \(\sqrt{35} \approx 5.92\)
• 19
• 35
• 81
• 135
• 196
• 273

Placed on the number line, we would have:

1. \(\sqrt{\frac{196}{81}} \approx 1.56\)
2. \(\frac{5}{2} = 2.5\)
3. \(\sqrt{20} \approx 4.47\)
4. \(\sqrt{35} \approx 5.92\)
5. 19
6. 35
7. 81
8. 135
9. 196
10. 273

Make sure to represent this accurately when placing on your number line! If you need help visualizing or positioning, please let me know!

Answer 2

What about
1
73\sqrt{73}
73

Answer 3

To place the numbers \(1\), \(\sqrt{73}\), and \(73\) on a number line, we first need to evaluate or approximate the square root of \(73\).

1. 1: This is simply \(1\).

2. \(\sqrt{73}\):

   • \(\sqrt{73} \approx 8.54\) (since \(8.54^2 \approx 73\))

3. 73: This is simply \(73\).

Now we can arrange the three numbers in order:

• \(1\)
• \(\sqrt{73} \approx 8.54\)
• \(73\)

Thus, if you were to place them on a number line, they would be positioned approximately as follows:

1. 1
2. \(\sqrt{73} \approx 8.54\)
3. 73

Make sure to accurately represent their positions based on their numerical values when marking on the number line! If you need further assistance, feel free to ask.