List the elements of the given set that are rational numbers. $\left\{ 0 , - 8,100,22 / 7 , \sqrt { 5 } , 1 . \overline { 23 } , - \frac { 1 } { 9 } , \sqrt [ 3 ] { 4 } \right\}$

A) $0 , - 8,100,22 / 7,1 . \overline { 23 } , - \frac { 1 } { 9 }$

B) $0 , - 8,100,22 / 7 , \sqrt { 5 } , 1 . \overline { 23 } , - \frac { 1 } { 9 } , \sqrt [ 3 ] { 4 }$

C) $0 , - 8,100,22 / 7,1 . \overline { 23 } , \sqrt [ 3 ] { 4 }$

D) $0 , - 8,100$

E) $22 / 7 , \sqrt { 5 } , 1 . \overline { 23 } , - \frac { 1 } { 9 } , \sqrt [ 3 ] { 4 }$

Question

List the elements of the given set that are rational numbers. $\left\{ 0 , - 8,100,22 / 7 , \sqrt { 5 } , 1 . \overline { 23 } , - \frac { 1 } { 9 } , \sqrt [ 3 ] { 4 } \right\}$

A) $0 , - 8,100,22 / 7,1 . \overline { 23 } , - \frac { 1 } { 9 }$

B) $0 , - 8,100,22 / 7 , \sqrt { 5 } , 1 . \overline { 23 } , - \frac { 1 } { 9 } , \sqrt [ 3 ] { 4 }$

C) $0 , - 8,100,22 / 7,1 . \overline { 23 } , \sqrt [ 3 ] { 4 }$

D) $0 , - 8,100$

E) $22 / 7 , \sqrt { 5 } , 1 . \overline { 23 } , - \frac { 1 } { 9 } , \sqrt [ 3 ] { 4 }$

Quizplus · Accepted Answer

Rational numbers are numbers that can be expressed as the ratio of two integers. Therefore, the rational numbers in the given set are:
0 (can be expressed as 0/1)
-8 (can be expressed as -8/1)
100 (can be expressed as 100/1)
22/7 (already in the form of a ratio of two integers)
1.23̅ (can be expressed as 123̅/100)
-1/9 (already in the form of a ratio of two integers)
The other two numbers, √5 and 3√4 (which can be simplified to ∛64), are irrational numbers and not rational numbers.

List the Elements of the Given Set That Are Rational {0,−8,100,22/7,5,1.23‾,−19,43}\left\{ 0 , - 8,100,22 / 7 , \sqrt { 5 } , 1 . \overline { 23 } , - \frac { 1 } { 9 } , \sqrt [ 3 ] { 4 } \right\}{0,−8,100,22/7,5​,1.23,−91​,34​}

List the Elements of the Given Set That Are Rational $\left\{ 0 , - 8,100,22 / 7 , \sqrt { 5 } , 1 . \overline { 23 } , - \frac { 1 } { 9 } , \sqrt [ 3 ] { 4 } \right\}$