Order the questions from least to greatest on the number line. Drag and drop to the correct location.

Question

DRAG DROP VALUES
1
2.75
2
16\sqrt{16}
16
​

3
14\frac{1}{4}
4
1
​

4
−0.5-0.5−0.5
5
−114-1\frac{1}{4}−1
4
1
​

Answer 1

To order the given values from least to greatest, we first need to evaluate any expressions and convert everything into comparable decimal form where necessary.

Let's evaluate the values given:

1. \(1 \) is simply 1.
2. \(2\) is simply 2.
3. \(2.75\) is already in decimal form.
4. \(16\sqrt{16} = 16 \times 4 = 64\).
5. \(16\) is simply 16.
6. \(3\) is simply 3.
7. \(14\frac{1}{4} = 14 + 0.25 = 14.25\).
8. \(-0.5\) is simply -0.5.
9. \(-1\frac{1}{4} = -1 - 0.25 = -1.25\).

Now, let's compile all of these values into a list:

• \(-1.25\)
• \(-0.5\)
• \(1\)
• \(2\)
• \(2.75\)
• \(3\)
• \(14.25\)
• \(16\)
• \(64\)

Now we can order them from least to greatest:

1. \(-1\frac{1}{4}\) (-1.25)
2. \(-0.5\)
3. \(1\)
4. \(2\)
5. \(2.75\)
6. \(3\)
7. \(14\frac{1}{4}\) (14.25)
8. \(16\)
9. \(16\sqrt{16}\) (64)

So the ordered list from least to greatest is:

1. \(-1\frac{1}{4}\)
2. \(-0.5\)
3. \(1\)
4. \(2\)
5. \(2.75\)
6. \(3\)
7. \(14\frac{1}{4}\)
8. \(16\)
9. \(16\sqrt{16}\)

You can now drag and drop the values into the correct locations on the number line based on this order.

Answer 2

where on the number line?

Answer 3

To place the evaluated values on the number line, here's a breakdown of their approximate locations:

1. \(-1.25\): This value is to the left of -1, approximately between -1.5 and -1 on the number line.

2. \(-0.5\): This value is between -1 and 0, closer to 0.

3. \(1\): This value is exactly at 1 on the number line.

4. \(2\): This value is exactly at 2 on the number line.

5. \(2.75\): This value is between 2 and 3, closer to 3 (specifically, halfway between 2.5 and 3).

6. \(3\): This value is exactly at 3 on the number line.

7. \(14.25\): This value is between 14 and 15, closer to 14.

8. \(16\): This value is exactly at 16 on the number line.

9. \(64\): This value is much further to the right, specifically at 64.

Summary of placements on the number line:

• \(-1.25\) is at approximately -1.25
• \(-0.5\) is at -0.5
• \(1\) is at 1
• \(2\) is at 2
• \(2.75\) is at 2.75
• \(3\) is at 3
• \(14.25\) is at 14.25
• \(16\) is at 16
• \(64\) is at 64

Visual Representation

If you visualize a horizontal line:

-2          -1          0          1          2          3         14          16          64
|-----------|-----------|-----------|-----------|----------|-----------|-----------|-----------|
                          -1.25     -0.5      1          2         2.75        3        14.25       

This is how they would be positioned along the number line. If you have a number line graphic, you can place the numbers accordingly.

Answer 4

what about -1/4

Answer 5

Thank you for pointing that out! Let's clarify the values again, including \(-1/4\):

Given Values for Re-Evaluation

1. \(1\): simply 1
2. \(2\): simply 2
3. \(2.75\): already in decimal form
4. \(16\sqrt{16}\): evaluates to \(64\)
5. \(16\): simply 16
6. \(3\): simply 3
7. \(14\frac{1}{4}\): evaluates to \(14.25\)
8. \(-0.5\): simply \(-0.5\)
9. \(-1\frac{1}{4}\): evaluates to \(-1.25\)
10. Adding: \(-\frac{1}{4}\): which is \(-0.25\)

Evaluated and Revised Values

Here’s the complete list of evaluated values including \(-\frac{1}{4}\):

• \(-1.25\) (from \(-1\frac{1}{4}\))
• \(-0.5\)
• \(-0.25\) (from \(-\frac{1}{4}\))
• \(1\)
• \(2\)
• \(2.75\)
• \(3\)
• \(14.25\) (from \(14\frac{1}{4}\))
• \(16\)
• \(64\) (from \(16\sqrt{16}\))

Ordering the Values from Least to Greatest

Now we can order them from least to greatest:

1. \(-1.25\)
2. \(-0.5\)
3. \(-0.25\)
4. \(1\)
5. \(2\)
6. \(2.75\)
7. \(3\)
8. \(14.25\)
9. \(16\)
10. \(64\)

Placing on the Number Line

Here’s where each value would be positioned on a number line:

1. \(-1.25\): between -1.5 and -1
2. \(-0.5\): at -0.5
3. \(-0.25\): between -0.5 and 0, but closer to -0.5
4. \(1\): directly at \(1\)
5. \(2\): directly at \(2\)
6. \(2.75\): between \(2.5\) and \(3\), closer to \(3\)
7. \(3\): directly at \(3\)
8. \(14.25\): between \(14\) and \(15\), closer to \(14\)
9. \(16\): directly at \(16\)
10. \(64\): directly at \(64\)

Visual Representation

-2          -1          0          1          2          3         14          16          64
|-----------|-----------|-----------|-----------|-----------|-----------|-----------|-----------|
          -1.25     -0.5       -0.25      1          2         2.75        3     14.25

Thank you for your patience, and I hope this provides the clarity you needed! If you have any further questions, feel free to ask.