Determine if 0.625 is rational or irrational and give a reason for your answer.

Question

it is the square root of a non-perfect square

it is a decimal that repeats

it is a decimal that does not repeat or terminate

it is the square root of a perfect square

it is a decimal that terminates

Answer 1

0.625 is a rational number because it is a decimal that terminates.

To elaborate, a rational number can be expressed as the quotient of two integers (a fraction), and since 0.625 can be written as \( \frac{625}{1000} \) or simplified to \( \frac{5}{8} \), it meets the definition of a rational number.

So the correct reason for why 0.625 is rational is: it is a decimal that terminates.