Numbers Between Rational Numbers Quick Check
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Question
What is the least integer whose square root is an irrational number between 5 and 7?(1 point)
Responses
26
26
13
13
6
6
25
25 answers
25
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
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
witch one is right ??????????????????????????????
Responses
103
Start Fraction 10 over 3 end fraction
3.4
3.4
3.1
3.1
165
witch one is right ??????????????????????????????
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−−√
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
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−−√?
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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.
(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.
(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−−√
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
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)