A list of 4 numbers is shown. 7–√, 2.1¯¯¯, π2, 23–√ The numbers are plotted on the number line. Which number is represented by point P? (1 point) Responses 7–√ square root of 7 2.1¯¯¯ 2 point repeating 1 π2 pi over 2 23–√ 2 square root of 3 Skip to navigation

Answer 1

To determine which number corresponds to point P on the number line, we can evaluate the given numbers:

1. \( \sqrt{7} \): This is the square root of 7, which is approximately 2.645751311.

2. \( 2.1\overline{1} \): This represents the repeating decimal 2.111... (where the digit 1 repeats indefinitely), which is equivalent to \( 2 + \frac{1}{9} = \frac{19}{9} \) or approximately 2.1111...

3. \( \pi^2 \): The value of \( \pi \) is approximately 3.14159. Therefore, \( \pi^2 \) is approximately \( 9.8696 \).

4. \( \sqrt{23} \): This is the square root of 23, which is approximately 4.795831523.

Now that we have the approximate values:

• \( \sqrt{7} \approx 2.645751311 \)
• \( 2.1\overline{1} \approx 2.111... \)
• \( \pi^2 \approx 9.8696 \)
• \( \sqrt{23} \approx 4.795831523 \)

To find out which number is represented by point P, you'll need to check the position of point P on the number line and compare it with these approximate values.

If you provide the specific position of point P on the number line, we can identify which of the above values it corresponds to.

Answer 2

on the right next to 5

Answer 3

If point P is located on the number line just to the right of 5, then we can compare that position with the approximate values of the numbers we evaluated earlier:

1. \( \sqrt{7} \approx 2.645751311 \) (to the left of 5)
2. \( 2.1\overline{1} \approx 2.111... \) (to the left of 5)
3. \( \pi^2 \approx 9.8696 \) (to the right of 5)
4. \( \sqrt{23} \approx 4.795831523 \) (to the left of 5)

Since point P is just to the right of 5, the only number that would logically fit that position (and is greater than 5) is \( \pi^2 \), which is approximately 9.8696.

Therefore, the number represented by point P, just to the right of 5, is \( \pi^2 \).