8.2.d

Order Real Numbers 8th Grade

Texas Essential Knowledge and Skills (TEKS): 8.2.d
order a set of real numbers arising from mathematical and real-world contexts.

To order real numbers, start by writing all the numbers in the same form.

Start by writing all the numbers as decimals.
First, convert

\frac{3}{5}

and

\frac{1}{3}

to decimals.

\begin{array}{rcl} \frac{3}{5} & = & 3 \div 5 \\ = & 0.6 \end{array}

\begin{array}{rcl} \frac{1}{3} & = & 1 \div 3 \\ \approx & 0.33 \end{array}

Next, write

3.5 \times 10^{- 2}

in standard notation.

3.5 \times 10^{- 2} = 0.035

Then, order the numbers from least to greatest.

0.035, 0.33, 0.349, 0.6

3.5 \times 10^{- 2}, \frac{1}{3}, 0.349, \frac{3}{5}

Order Real Numbers