Question

which number cannot be represented as a repeating decimal? select all that apply. select all that apply a $\pi$ b $\frac{1}{3}$ c $\frac{2}{11}$ d $\sqrt{5}$

Explanation:

Step1: Identify rational/irrational numbers

Rational numbers = repeating/terminating decimals; irrational = non-repeating, non-terminating.

Step2: Analyze Option A

$\pi$ is irrational, so non-repeating.

Step3: Analyze Option B

$\frac{1}{3}=0.\overline{3}$, repeating decimal.

Step4: Analyze Option C

$\frac{2}{11}=0.\overline{18}$, repeating decimal.

Step5: Analyze Option D

$\sqrt{5}$ is irrational, so non-repeating.

Answer:

A. $\pi$, D. $\sqrt{5}$