Exercise 10 Page 196

We want to determine which list of numbers is in order from least to greatest. lcrc F. & 0.8, 5/8, 70 %, 0.09 & G. & 5/8, 70 %, 0.8, 0.09 H. & 0.09, 5/8, 0.8, 70% & I. & 0.09, 5/8, 70 %, 0.8 Note that each list has the same elements, they are arranged differently. We will order one of the lists to tell which list is in ascending order. Let's choose F to be our set of numbers. 0.8, 5/8, 70 %, 0.09Now, we want to order the given numbers from least to greatest. 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 70 % as a decimal number is 0.70. 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 58!

5/8

ExpandFrac

a/b=a * 12.5/b * 12.5

5 * 12.5/8 * 12.5

Multiply

Multiply

62.5/100

WriteDec

Write as a decimal

0.625

Now we know that 58 as a decimal number is 0.625. Let's take a look back at our set of numbers. 0.8, 5/8, 70 %, 0.09 ⇕ 0.8, 0.625, 0.70, 0.09 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 0.09, so it is the least from the list. The farthest to the right is 0.8, 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! 0.09, 5/8, 70 %, 0.8 Recall lists of the numbers from the exercise. lcrc F. & 0.8, 5/8, 70 %, 0.09 & G. & 5/8, 70 %, 0.8, 0.09 H. & 0.09, 5/8, 0.8, 70% & I. & 0.09, 5/8, 70 %, 0.8 The list that is in order from least to greatest is list I.