Question

determine if 0.875 is rational or irrational and give a reason for your a
answer attempt 1 out of 2
the number 0.875 is rational because
it is a decimal that repeats
it is a decimal that does not repeat or terminate
it is the square root of a non-perfect square
it is a decimal that terminates
it is a decimal that repeats
it is the square root of a perfect square

Explanation:

Step1: Recall Rational Number Definition

A rational number can be expressed as $\frac{p}{q}$ where $p,q$ are integers and $q
eq0$. Terminating decimals are rational as they can be written as fractions.

Step2: Analyze 0.875

0.875 has a finite number of decimal places (it ends), so it's a terminating decimal. A terminating decimal can be converted to a fraction (e.g., $0.875=\frac{875}{1000}=\frac{7}{8}$), so it's rational. The option "it is a decimal that terminates" correctly explains why 0.875 is rational. Other options are incorrect: it doesn't repeat (it terminates), it's not a square root, etc.

Answer:

The number 0.875 is rational because it is a decimal that terminates.