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Plot the numbers on a number line.
0.09, 15 %, 0.2, 3/10, 3/8
We want to order the given numbers from least to greatest. 3/10, 15 %, 0.2, 3/8, 0.09 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!
a/b=a * 10/b * 10
Multiply
Write as a decimal
Now, we know that 310 as a decimal number is 0.30. Let's continue with 38.
a/b=a * 12.5/b * 12.5
Multiply
Write as a decimal
Decimal form of 38 is 0.375. Let's take a look back at our set of numbers. 3/10, 15 %, 0.2, 3/8, 0.09 ⇕ 0.30, 0.15, 0.2, 0.375, 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 38, 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, 15 %, 0.2, 3/10, 3/8