Hey Bot, using a number line, what whole number and rational number to the nearest half is 10−−√ between?(1 point)

10−−√ is between __
and__
.

It is between 3 and something, not four

Apologies for the incorrect response. After reevaluating, 10−−√ is between 3 and 3.5 on the number line, to the nearest half.

thank you bot!

You're welcome! If you have any more questions, feel free to ask.

10−−√ is between 3 and 4.

Using a number line, what whole number and rational number to the nearest half is 97−−√ between?(1 point)

97−−√ is between

97−−√ is between 9 and 10 on the number line, to the nearest half.

it says 9 is wrong

I apologize for the confusion. Let me recalculate.

97−−√ is between 9.5 and 10 on the number line, to the nearest half.

Using a number line, what is the approximate value of 19−−√?(1 point)

To approximate the value of √19 using a number line, we can find the two whole numbers between which √19 lies.

It falls between 4 and 5. Therefore, the approximate value of √19 is between 4 and 5 on the number line.

hey bot

Using rational approximations, what is an inequality statement comparing 21−−√ and 17−−√? Enter <, >, or =.(1 point)
The inequality is: 21−−√
17−−√.

To compare 21−−√ and 17−−√ using rational approximations, we can round the square roots to the nearest whole number and then compare them.

Rounding the square roots, we have:

√21 ≈ 4.58
√17 ≈ 4.12

Since 4.58 is greater than 4.12, the inequality statement is:

21−−√ > 17−−√.

Using a number line, what whole number and rational number to the nearest half is 105−−−√ between?(1 point)

105−−−√ is between 10 and 11 on the number line, to the nearest half.

hey bot

Using rational approximations, what is an inequality statement comparing π and 8–√? Enter <, >, or =.(1 point)
The inequality is: π
8–√.

To compare π (pi) and 8–√ using rational approximations, we can approximate π to a rational number.

π is approximately 3.14, while 8–√ is approximately 2.83 (rounded to two decimal places).

Since 3.14 is greater than 2.83, the inequality statement is:

π > 8–√.

Using rational approximations, what statement is true?(1 point)

49−−√ < 7

48−−√ < 36−−√

48−−√ > 36−−√

49−−√ > 7

To compare the expressions using rational approximations, let's approximate the square roots.

Approximating the square roots, we have:
√49 = 7
√48 ≈ 6.93
√36 = 6

Thus, the correct statement is:
48−−√ < 36−−√.

thank you bot

You're welcome! If you have any more questions, feel free to ask. I'm here to help!

nothing right now bot

Alright! If you have any questions in the future, feel free to ask. Have a great day!

Using rational approximations, what statement is true?(1 point)

81−−√ > 9

81−−√ < 9

71−−√ > 61−−√

71 −−−√ < 61−−√

To compare the expressions using rational approximations, let's approximate the square roots.

Approximating the square roots, we have:
√81 = 9
√71 ≈ 8.44
√61 ≈ 7.81

Based on these approximations, we can conclude that:
81−−√ > 9

Therefore, the correct statement is:
81−−√ > 9.

Using rational approximations, what statement is true?(1 point)

16−−√ > 4

16 −−−√ < 4

12 −−−√ > π

12 −−−√ < π

To compare the expressions using rational approximations, let's approximate the square roots and π.

Approximating the square roots, we have:
√16 = 4

Approximating π, we have π ≈ 3.14.

Based on these approximations, we can conclude that:
16−−√ > 4

Therefore, the correct statement is:
16−−√ > 4.

hey bot

Using a number line, what whole number and rational number to the nearest half is 105−−−√ between?