\begin{tabular}{|l|l|}\hline Question 6 & Which subset(s) of numbers does $$ 8 \frac{2}{3} $$ belong to? \ $$ \begin{array}{l} ext { Not yet } \ ext { answered }\end{array} $$ \ $$ \begin{array}{l} ext { Points out of 1 }\end{array} $$ & Select one: \ $$ \begin{array}{l} ext { P Flag } \ ext { question }\end{array} $$ & a. rational and natural numbers \ & b. real and rational numbers \ c. integers and real numbers \ d. whole and rational numbers \ \hline\end{tabular}

Question

\begin{tabular}{|l|l|}\hline Question 6 & Which subset(s) of numbers does $$ 8 \frac{2}{3} $$ belong to? \ $$ \begin{array}{l}	ext { Not yet } \ 	ext { answered }\end{array} $$ \ $$ \begin{array}{l}	ext { Points out of 1 }\end{array} $$ & Select one: \ $$ \begin{array}{l}	ext { P Flag } \ 	ext { question }\end{array} $$ & a. rational and natural numbers \ & b. real and rational numbers \ c. integers and real numbers \ d. whole and rational numbers \ \hline\end{tabular}

UpStudy AI · Accepted Answer

1. We first express $$ 8 \frac{2}{3} $$ as an improper fraction:
   $$
   8 \frac{2}{3} = \frac{8 \times 3 + 2}{3} = \frac{26}{3}.
   $$

2. A rational number is any number that can be written as a ratio of two integers, where the denominator is not zero. Since $$\frac{26}{3}$$ fits this definition, $$ 8 \frac{2}{3} $$ is a rational number.

3. A real number is any number that can be found on the number line. All rational numbers are real numbers.

4. However, $$ 8 \frac{2}{3} $$ is not an integer (integers are whole numbers with no fractional parts), nor is it a natural or whole number (which are subsets of integers).

5. Therefore, $$ 8 \frac{2}{3} $$ belongs to the subsets of real numbers and rational numbers.

The answer is: b. real and rational numbers.
$$ 8 \frac{2}{3} $$ is a real and rational number.

Question 6 Which subset(s) of numbers does belong to?

Select one:

a. rational and natural numbers

b. real and rational numbers

c. integers and real numbers

d. whole and rational numbers

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Question 6	Which subset(s) of numbers does belong to?

	Select one:
	a. rational and natural numbers
	b. real and rational numbers
c. integers and real numbers
d. whole and rational numbers

Question 6 Which subset(s) of numbers does belong to? Select one: a. rational and natural numbers b. real and rational numbers c. integers and real numbers d. whole and rational numbers