Find a rational number that is between 9.5 and 9.7. Explain why it is rational.

Part B: Find an irrational number that is between 9.5 and 9.7. Explain why it is irrational. Include the decimal approximation of the irrational number to the nearest hundredth.

A) 9.6 is a rational number between 9.5 and 9.7. It's rational because I can write it as a fraction, 48/5.

B) The square root of 95 is an irrational number between 9.5 and 9.7. (I got this by trying numbers between 81 and 100, because those are the squares of 9 and 10.) It's irrational because I can't write it as a fraction. As a decimal, it's 9.75.

Explanation:

Rational numbers can be written as fractions. Irrational cannot.