Which of the following is a rational number between 5 and 5 14

Question

1
4
?

Remember to use your Desmos calculator. You will want to hold ctrl when clicking on the Desmos link, so you don't lose your place in this test.

(1 point)
Responses

26−−√
26
square root of 26

518
1
8
51 eighth

525
2
5
52 fifths

513

Answer 1

To determine which of the given options is a rational number between 5 and \(5 \frac{14}{1}\), we need to find the numerical values of the options provided and check where they fall within that range.

The number \(5 \frac{14}{1}\) can be simplified to \(5 + 14 = 19\). Therefore, we are checking for rational numbers between 5 and 19.

Let's evaluate each option:

1. \( \sqrt{26} \): This is an irrational number and approximately 5.099, which is between 5 and 19.

2. \( 5 \frac{1}{8} = 5.125\): This is a rational number, and it's between 5 and 19.

3. \( 5 \frac{2}{5} = 5.4\): This is also a rational number, and it's between 5 and 19.

4. \( 5 \frac{1}{3} = 5.333...\): This is also a rational number, and it's between 5 and 19.

Conclusion: The rational numbers between 5 and \(5\frac{14}{1}\) given in the choices include \( 5 \frac{1}{8} \) (5.125), \( 5 \frac{2}{5} \) (5.4), and \( 5 \frac{1}{3} \) (5.333...). Therefore the correct responses that fit your criteria are:

• \( 5 \frac{1}{8} \)
• \( 5 \frac{2}{5} \)
• \( 5 \frac{1}{3} \)

If you need to choose one or more specific options based on your instructions, please clarify.

Answer 2

choose a answer

Answer 3

Among the given options, the rational numbers between 5 and \(5 \frac{14}{1}\) (which is 19) are:

• \(5 \frac{1}{8}\) (which equals 5.125)
• \(5 \frac{2}{5}\) (which equals 5.4)
• \(5 \frac{1}{3}\) (which equals approximately 5.333)

If you need to select just one answer, the best choice would be \(5 \frac{1}{8}\) (5.125) as it is clearly between 5 and 19.

Final Answer: \(5 \frac{1}{8}\).