Question

question
determine if 0.875 is rational or irrational and give a reason for your answer.

answer attempt 1 out of 2

the number 0.875 is
irrational
rational
because

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Explanation:

Step1: Recall rational number definition

A rational number is a number that can be expressed as $\frac{p}{q}$, where $p$ and $q$ are integers and $q
eq0$.

Step2: Express 0.875 as fraction

$0.875=\frac{875}{1000}$. Simplify this fraction: divide numerator and denominator by 125, we get $\frac{875\div125}{1000\div125}=\frac{7}{8}$. Here, 7 and 8 are integers, and $8
eq0$. So 0.875 can be written as a fraction of two integers with non - zero denominator.

Answer:

The number 0.875 is rational because it can be expressed as $\frac{7}{8}$ (where 7 and 8 are integers and $8
eq0$), satisfying the definition of a rational number. The correct option from the dropdown is "rational".