Question

Part A: Find a rational number that is between 5.2 and 5.5. Explain why it is rational. (2 points) Part B: Find an irrational number that is between 5.2 and 5.5. Explain why it is irrational. Include the decimal approximation of the irrational number to the nearest hundredth. (3 points)

Answer 1

The answer 
a rational number that is between 5.2 and 5.5
first, a rational number  is a decimal number that the number after the dot can be ended. for example
1/2 = 0.5 is rational, 2 is rational because 2 = 2. 0, 

so a rational number between 5.2 and 5.5 can be 525 /100
because this rational number can be written as 525 /100 = 5.25
and 5.2 less than 5.25 less than 5.5

an irrational number  is a decimal number that the number after the dot cannot be ended. for example  1/3 = 0.3333333333......

so so an irrational number between 5.2 and 5.5 can be √30
because √30 can be written as √30 = 5,477225575051661134569........

and 5.2 less than 5.47 less than 5.5