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Arrange the elements in the set, zero point five, 25 percent, zero point three, and negative four-fifths in descending order.
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Descending order means you want to arrange your numbers left or right from largest to smallest.
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To better compare all of our numbers in the set, let’s change every number to be a decimal.
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Two of the numbers already are in decimal form, zero point five and zero point three.
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Therefore, we need to change the 25 percent to be a decimal and the negative four-fifths to be a decimal.
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To go from a percent to a decimal, we need to divide by 100 and then remove the percent symbol.
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Therefore, 25 percent is equal to zero point two five.
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Next, let’s look at negative four-fifths.
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To go from a fraction to a decimal, we need to divide the numerator by the denominator, which is equal to negative zero point eight.
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Let’s go ahead and re-list all of our numbers.
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Here we have our numbers listed again.
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One more thing that we could do is we could have every decimal have the same number of decimal places.
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So zero point five is the same thing as zero point five zero.
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Zero point three is the same thing as zero point three zero.
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Negative zero point eight is the same thing as negative zero point eight zero.
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Let’s place these on a number line to help visualize our descending order.
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Here we have our numbers placed on the number line.
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So descending order means we need to go from largest to smallest.
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So our largest number should be all the way to the right on our number line, so zero point five.
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Our next largest number would be zero point three.
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Our next largest number would be zero point two five, which was written as 25 percent.
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And then lastly our smallest number, the number all the way to the left on a number line, would be negative zero point eight, which was originally written as negative four-fifths.
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Therefore, we took our elements and put them in descending order, which would be zero point five and zero point three then 25 percent and then finally negative four-fifths.