We want to order the given numbers from least to greatest.

\frac{1}{8}, 35 %, 0.33

To do this, we will rewrite every number as a decimal number. At first, let's rewrite the percents. To do this, we ignore the percent symbol and move the decimal point two places to the left. Let's do it!

We found that

35 %

as a decimal number is

0.35 .

Next, let's rewrite the fraction as a decimal number. To do this we will find an equivalent fraction with a denominator of

100 .

Let's go with

\frac{1}{8}!

\frac{1}{8}

ExpandFrac

$\frac{a}{b} = \frac{a \cdot 1 2 . 5}{b \cdot 1 2 . 5}$

\frac{1 \cdot 1 2 . 5}{8 \cdot 1 2 . 5}

Multiply

\frac{1 2 . 5}{1 0 0}

WriteDec

Write as a decimal

0.125

Now we know that

\frac{1}{8}

as a decimal number is

0.125 .

Let's take a look back at our set of numbers.

\frac{1}{8}, 35 %, 0.33 ⇕ 0.125, 0.35, 0.33

Now, we can write the given numbers in order from least to greatest by plotting them on a number line.

The number that is the farthest to the left is

\frac{1}{8},

so it is the least from the list. The farthest to the right is

35 %,

so it is the greatest.

Finally, we can write the values in order from least to greatest by moving from left to right on the number line. Let's do this!

\frac{1}{8}, 0.33, 35 %

Exercise

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