Question

Part A: 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 rational include the decimal approximation of the irrational number to the nearest hundred

Answer 1

We need to remember that by definition a rational number is a number that can be expressed as the quotient of two integers p/q

Part A

For this case we can write:

`(96)/(10)`

And this number is between 9.5 and 9.7 and is also rational by definition

Part B

And irrational number by definition is a number that cannot be expessed as the ratio of two integers.

And one soluton for this case would be:

`(29)/(3)`

And we see that 29/3= 9.66666 so satisfy the condition and is also an irrational number