Recognize Subsets of the Real Numbers
-$B = \left\{ 16 , \sqrt { 5 } , - 2,0 , \frac { 8 } { 9 } , \sqrt { 25 } , 0 . \overline { 3 } , 0.73 \right\}$ Rational numbers
A) $16 , - 2,0 , \frac { 8 } { 9 } , \sqrt { 25 } , 0.73,0 . \overline { 3 }$
B) $16,0 , \sqrt { 25 }$
C) $\sqrt { 5 } , \sqrt { 25 }$
D) $\sqrt { 5 } , \frac { 8 } { 9 } , 0.73$

Question

Quizplus · Accepted Answer

Rational numbers are numbers that can be expressed as a fraction of two integers. In the set B, $16, -2, 0, \frac{8}{9}, \sqrt{25}, 0.73$, and $0.\overline{3}$ are all rational. $16, -2, 0,$ and $\sqrt{25} = 5$ are integers (which are a subset of rational numbers), $\frac{8}{9}$ is a fraction, $0.73$ is a terminating decimal, and $0.\overline{3}$ is a repeating decimal, all of which are characteristics of rational numbers.

Recognize Subsets of the Real Numbers - B={16,5,−2,0,89,25,0.3‾,0.73}B = \left\{ 16 , \sqrt { 5 } , - 2,0 , \frac { 8 } { 9 } , \sqrt { 25 } , 0 . \overline { 3 } , 0.73 \right\}B={16,5​,−2,0,98​,25​,0.3,0.73}

Recognize Subsets of the Real Numbers
- $B = \left\{ 16 , \sqrt { 5 } , - 2,0 , \frac { 8 } { 9 } , \sqrt { 25 } , 0 . \overline { 3 } , 0.73 \right\}$