Which of the following is a rational number between 5 and 514?(1 point)
Responses
26−−√
start root 26 end root
513
5 Start Fraction 1 over 3 end fraction
525
5 Start Fraction 2 over 5 end fraction
517
Apologies for the confusion. I made an error in my previous response.
The correct answer is: 517.
517 is a rational number that lies between 5 and 514.
are u sure
Which of the following is a rational number between 5 and 5/14?(1 point)
Responses
5 Start Fraction 1 over 7 end fraction
26−−√
start root 26 end root
5 Start Fraction 2 over 5 end fraction
5 Start Fraction 1 over 3 end fraction
To determine which of the given options is a rational number between 5 and 514, we can analyze each option.
Option 1: √26
The square root of 26 is an irrational number, as it cannot be expressed as a fraction. Therefore, this option is not a rational number.
Option 2: 513
This option is an integer and can be expressed as a fraction by dividing it by 1. Thus, this option is a rational number.
Option 3: 5 1/3
This option is a mixed number and can also be expressed as a fraction. Therefore, it is a rational number.
Option 4: 525
This option is an integer, but it cannot be expressed as a fraction. Thus, it is not a rational number.
Option 5: 517
This option is an integer and can be expressed as a fraction by dividing it by 1. Therefore, it is a rational number.
Based on the analysis, the rational numbers between 5 and 514 are 513 and 517.
To find a rational number between 5 and 514, we need to identify a number that can be expressed as a ratio of two integers.
Let's analyze the given options:
1. √26: This is an irrational number since the square root of 26 cannot be expressed as a ratio of two integers.
2. 513: This is not between 5 and 514; it is less than 514.
3. 5 1/3: This is a rational number expressed as a mixed fraction. However, it is less than 5, so it is not between 5 and 514.
4. 5 2/5: This is a rational number expressed as a mixed fraction. It is greater than 5 but less than 514, so this is the rational number between 5 and 514.
5. 517: This is not between 5 and 514; it is greater than 514.
Therefore, the rational number between 5 and 514 is 5 2/5.