Exercise 37 Page 180

We want to order the given numbers from least to greatest. 111/500, 21 %, 0.211, 11/50 To do this, we will rewrite every number as a decimal number. At first, let's rewrite the percent. 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 21 % as a decimal number is 0.21. Next, let's rewrite fractions as decimal numbers. To do this we will find an equivalent fraction with a denominator of 100. Let's start with 111500.

111/500

ReduceFrac

a/b=.a /5./.b /5.

111 ÷ 5/500 ÷ 5

Div

Divide by 5

22.2/100

WriteDec

Write as a decimal

0.222

Now, we know that 111500 as a decimal number is 0.222. Let's continue with 1150.

11/50

ExpandFrac

a/b=a * 2/b * 2

11 * 2/50 * 2

Multiply

Multiply

22/100

WriteDec

Write as a decimal

0.22

Decimal form of 1150 is 0.22. Let's take a look back at our set of numbers. 111/500, 21 %, 0.211, 11/50 ⇕ 0.222, 0.21, 0.211, 0.22 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 21 %, so it is the least from the list. The farthest to the right is 0.222, 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! 21 %, 0.211, 11/50, 111/500