Big Ideas Math: Modeling Real Life, Grade 6
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3. Comparing and Ordering Fractions, Decimals, and Percents
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Exercise 33 Page 179

Plot the numbers on a number line.

21/50, 87/200, 43.7 %, 0.44

Practice makes perfect
We want to order the given numbers from least to greatest. 87/200, 0.44, 43.7 %, 21/50 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!
percent as decimal: 0.38
We found that 43.7 % as a decimal number is 0.437. 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 87200.
87/200
87 ÷ 2/200 ÷ 2
43.5/100
0.435
Now, we know that 87200 as a decimal number is 0.435. Let's continue with 2150.
21/50
21 * 2/50 * 2
42/100
0.42
Decimal form of 2150 is 0.42. Let's take a look back at our set of numbers. 87/200, 0.44, 43.7 %, 21/50 ⇕ 0.435, 0.44, 0.437, 0.42 Now, we can write the given numbers in order from least to greatest by plotting them on a number line.
plotting point
The number that is the farthest to the left is 2150, so it is the least from the list. The farthest to the right is 0.44, so it is the greatest.
opposite number

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! 21/50, 87/200, 43.7 % , 0.44