Which of the following is a rational number between 5 and 514?(1 point)
Responses
26−−√
start root 26 end root
525
5 Start Fraction 2 over 5 end fraction
517
5 Start Fraction 1 over 7 end fraction
513
5 Start Fraction 4 over 5 end fraction
Which of the following is a rational number between 5 and 514?(1 point)
Responses
26−−√
start root 26 end root
525
5 Start Fraction 2 over 5 end fraction
517
5 Start Fraction 1 over 7 end fraction
513
5 Start Fraction 4 over 5 end fraction
To find a rational number between 5 and 514, we need to choose a number that lies between these two values.
Let's start by eliminating any options that are not between 5 and 514:
- √26 is not a rational number, so we can eliminate this option.
- 525 is higher than 514, so we can eliminate this option.
- 517 is higher than 514, so we can eliminate this option.
This leaves us with one option:
- 513 is a number between 5 and 514.
Therefore, 513 is the rational number between 5 and 514.
To find a rational number between 5 and 514, we need to look for a number that can be expressed as a fraction.
Let's examine the given options:
1) √26 = 5.099... : This is an irrational number because the square root of 26 cannot be expressed as a fraction.
2) 525: This number is greater than 514, so it is not between 5 and 514.
3) 5/2 = 2.5: This is a rational number, but it is less than 5 and not between 5 and 514.
4) 517: This number is greater than 514, so it is not between 5 and 514.
5) 5/7 = 0.714...: This is a rational number between 5 and 514.
Therefore, the rational number between 5 and 514 is 5/7.