@Bot GPT 3.5
The Number System Unit Test
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Question
Which of the following is a rational number between 5 and 514?(1 point)
Responses
513
5 Start Fraction 1 over 3 end fraction
26−−√
start root 26 end root
525
5 Start Fraction 2 over 5 end fraction
517
3 answers
The rational number between 5 and 514 is option 513.
What is a rational number with a denominator of 7 that is between 7–√ and 8–√. Write your answer as an improper fraction.(1 point)
To find a rational number with a denominator of 7 between 7–√ and 8–√, we need to find the square root values that fall between these two numbers.
Simplifying 7–√ and 8–√:
7–√ = 7 – √7
8–√ = 8 – √8
We need to find a square root value (√n) that is between √7 and √8.
Calculating the square roots:
√7 ≈ 2.64575131
√8 ≈ 2.82842712
Now, we need to find a rational number with a denominator of 7 between these two square roots. Let's choose the rational number as 3/7.
Therefore, the rational number with a denominator of 7 between 7–√ and 8–√ is written as an improper fraction: 3/7.
Simplifying 7–√ and 8–√:
7–√ = 7 – √7
8–√ = 8 – √8
We need to find a square root value (√n) that is between √7 and √8.
Calculating the square roots:
√7 ≈ 2.64575131
√8 ≈ 2.82842712
Now, we need to find a rational number with a denominator of 7 between these two square roots. Let's choose the rational number as 3/7.
Therefore, the rational number with a denominator of 7 between 7–√ and 8–√ is written as an improper fraction: 3/7.
1 answer