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 36 Page 180

Plot the numbers on a number line.

0.66, 66.1 % , 133/200, 0.667

Practice makes perfect
We want to order the given numbers from least to greatest. 66.1 %, 0.66, 133/200, 0.667 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 66.1 % as a decimal number is 0.661. Next, let's rewrite fraction as decimal number. To do this we will find an equivalent fraction with a denominator of 100.
133/200
133 ÷ 2/200 ÷ 2
66.5/100
0.665
Now, we know that 133200 as a decimal number is 0.665. Let's take a look back at our set of numbers. 66.1 %, 0.66, 133/200, 0.667 ⇕ 0.661, 0.66, 0.665, 0.667 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 0.66, so it is the least from the list. The farthest to the right is 0.667, 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! 0.66, 66.1 % , 133/200, 0.667