Big Ideas Math: Modeling Real Life, Grade 6
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Big Ideas Math: Modeling Real Life, Grade 6 View details
3. Comparing and Ordering Fractions, Decimals, and Percents
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Exercise 13 Page 179

Plot the numbers on a number line.

3/10, 40 %, 0.65, 80 %

Practice makes perfect
We want to order the given numbers from least to greatest. 80 %, 0.65, 3/10, 40 % 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!
percent as decimal: 0.80
We found that 80 % as a decimal number is 0.80. Let's continue with 40 %.
percent as decimal: 0.40
We found that 40 % expressed as a decimal number is 0.40. Next, let's rewrite fraction as decimal numbers. To do this we will find an equivalent fraction with a denominator of 100. Let's go with 310.
3/10
3 * 10/10 * 10
30/100
0.30
Now, we know that 310 as a decimal number is 0.30. Let's take a look back at our set of numbers. 80 %, 0.65, 3/10, 40 % ⇕ 0.80, 0.65, 0.30, 0.40 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 310, so it is the least from the list. The farthest to the right is 80 %, 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! 3/10, 40 %, 0.65, 80 %