Part a: find a rational number that is between 7.7 and 7.9. explain why it is rational. (2 points)

part b: find an irrational number that is between 7.7 and 7.9. explain why it is irrational. include the decimal approximation of the irrational number to the nearest hundredth. (3 points)

walk me through this, i really suck at math

A rational number is any number that can be written as the ratio between two other numbers i.e. in the form

Part A:
An easy choice that makes sense is 7.8, right in the middle. To prove that it's rational we need to write it as a ratio. In this case we have

Part B:
We need a number that can't be written as a ratio (because it neither terminates nor repeats). Some common ones are , , and so it makes sense to try and use those to build our number. In this case works nicely.