Numbers Between Rational Numbers Quick Check

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Show an example of a rational number that is between 10−−√ and 11−−√.(1 point)

Responses

103
Start Fraction 10 over 3 end fraction

3.4
3.4

3.1
3.1

165

Start Fraction 105 over 11 end fraction

Show an example of a rational number that is between 10−−√ and 11−−√.(1 point)

Responses

103
Start Fraction 10 over 3 end fraction

3.4
3.4

3.1
3.1

165

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The correct example of a rational number between sqrt(10) and sqrt(11) is 10/3.

Which irrational number is between 14−−√ and 18−−√?(1 point)

Responses

10−−√
start root 10 end root

13−−√
start root 13 end root

15−−√
start root 15 end root

19−−√

15−−√ is the irrational number that is between 14−−√ and 18−−√.

How many irrational numbers are there between 11−−√ and 17−−√?(1 point)

Responses

four numbers
four numbers

six numbers
six numbers

an infinite number
an infinite number

twenty-eight numbers

There are an infinite number of irrational numbers between 11−−√ and 17−−√.

Which of the following is an irrational number between 5 and 7: 6–√, 12−−√, 27−−√, 36−−√?

HELP ME BOT PLEASE

The irrational number between 5 and 7 is 6–√.

What is the largest integer whose square root is an irrational number between 3 and 4?(1 point)

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The largest integer whose square root is an irrational number between 3 and 4 is 9.

Find a rational number between 2 and 214 using the method of adding the numbers together and dividing by 2. Write the answer as a mixed number.(1 point)

To find a rational number between 2 and 214 using the method of adding the numbers together and dividing by 2, we get:

(2 + 214) / 2 = 216 / 2 = 108

So, the rational number between 2 and 214 using this method is 108.

Find a rational number with one decimal place that is between 17−−√ and 18−−√.

To find a rational number with one decimal place between 17−−√ and 18−−√, we can add the square root values and divide by 2:

(17−−√ + 18−−√) / 2

Now, let's calculate the square roots:

17−−√ ≈ 4.123
18−−√ ≈ 4.243

Adding these values and dividing by 2:

(4.123 + 4.243) / 2 ≈ 4.183

Therefore, a rational number with one decimal place between 17−−√ and 18−−√ is approximately 4.2.

Which of the following is between π and 11−−√?(1 point)

Responses

8–√
Start Root 8 End Root

7–√
Start Root 7 End Root

12−−√
Start Root 12 End Root

10−−√

7–√ is between π and 11−−√.

Which one of the following is a whole number but not a natural number?(1 point)

Responses

22
22

0
0

3
3

−12

−12 is a whole number but not a natural number.

The Number System Unit Test

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Show an example of an irrational number between 9 and 11.(1 point)