Chapter 0.2, Problem 18E

To determine

To graph: The set of real numbers $\left\{\sqrt{64},8.8,\frac{26}{3},8\frac{2}{7}\right\}$ and order the numbers from least to greatest.

Explanation of Solution

Given information:

The set of real numbers $\left\{\sqrt{64},8.8,\frac{26}{3},8\frac{2}{7}\right\}$ .

Graph:

Construct a real number line. Mark the negative integers on left of zero and positive integers on right of zero.

Plot the set of real numbers $\left\{\sqrt{64},8.8,\frac{26}{3},8\frac{2}{7}\right\}$ and mark them with dot.

The obtained number line is provided below,

  

Interpretation:

The point that represents $\sqrt{64}$ on real number line is equivalent to $8$ .

The point that represents $8\frac{2}{7}$ on real number line is equivalent to $8.28$ so it is close to 8.

The point that represents $\frac{26}{3}$ on real number line is equivalent to $8.\overline{6}$ so it is between 8 and 9.

The point that represents $8.8$ on real number line is equivalent to $8.8$ and it is close to 9.

Now, real number line depicts integers in ascending order that is from least to greatest.

So, least is 8 and greatest is $8.8$ .

Numbers ordered from least to greatest as $8<8\frac{2}{7}<\frac{26}{3}<8.8$ .