List the elements of $\left\{ - 3 , - \frac { 8 } { 3 } , 0 , \frac { 2 } { 3 } , 1 , \sqrt { 3 } , 3 , \pi , 4.45,7,17 . \overline { 6 } \right\}$ that belong to the set of rational numbers.
A) $- 3,0,1,3,7$
B) $\sqrt { 3 } , \pi$
C) $- 3 , - \frac { 8 } { 3 } , 0 , \frac { 2 } { 3 } , 1,3,4.45,7,17 . \overline { 6 }$
D) $- 3 , - \frac { 8 } { 3 } , 0 , \frac { 2 } { 3 } , 1 , \sqrt { 3 } , 3 , \pi , 4.45,7,17 . \overline { 6 }$
E) $0,1,3,7$

Question

Quizplus · Accepted Answer

The elements that belong to the set of rational numbers are those that can be expressed as a fraction in the form of $\frac{a}{b}$, where $a$ and $b$ are integers and $b
eq0$. Thus, the elements that are not rational are $\sqrt{3}$, $\pi$, and $17.\overline{6}$. The remaining elements are $- 3$ , $- \frac { 8 } { 3 }$ , $0$ , $\frac { 2 } { 3 }$ , $1$, $3$, $4.45$, and $7$.

List the Elements Of {−3,−83,0,23,1,3,3,π,4.45,7,17.6‾}\left\{ - 3 , - \frac { 8 } { 3 } , 0 , \frac { 2 } { 3 } , 1 , \sqrt { 3 } , 3 , \pi , 4.45,7,17 . \overline { 6 } \right\}{−3,−38​,0,32​,1,3​,3,π,4.45,7,17.6}

List the Elements Of $\left\{ - 3 , - \frac { 8 } { 3 } , 0 , \frac { 2 } { 3 } , 1 , \sqrt { 3 } , 3 , \pi , 4.45,7,17 . \overline { 6 } \right\}$