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Benchmark Percentages comparing with Decimals and Fractions

Lesson

Now that we know how to convert both fractions and decimals into percentages, it's time to play around with them a bit and compare these different types of numbers.

Let's take a look at the following question:

Question 1

Compare the numbers $0.7$0.7, $25%$25% and $\frac{1}{3}$13 and put them in ascending order

Think how can I put them all in the same form so I can compare them easily?

Do: Let's convert both $0.7$0.7 and $\frac{1}{3}$13 into percentages.

$0.7\times100$0.7×100 $=$= $70$70
$0.7$0.7 $=$= $70%$70%
$\frac{1}{3}$13 $=$= $33\frac{1}{3}$3313 $%$%

So: $25%$25% < $33\frac{1}{3}$3313% < $70%$70%

Therefore the ascending order is: $25%$25%, $\frac{1}{3}$13, $0.7$0.7

QUESTION 2

Arrange $\frac{9}{10}$910, $40%$40% and $0.5$0.5 in descending order.

  1. First, convert $\frac{9}{10}$910 to a percentage.

  2. Now convert $0.5$0.5 to a percentage.

  3. Which of the following arranges $\frac{9}{10}$910, $40%$40% and $0.5$0.5 from largest to smallest?

    $40%$40%, $\frac{9}{10}$910, $0.5$0.5

    A

    $\frac{9}{10}$910, $0.5$0.5, $40%$40%

    B

    $\frac{9}{10}$910, $40%$40%, $0.5$0.5

    C

    $0.5$0.5, $40%$40%, $\frac{9}{10}$910

    D

    $40%$40%, $\frac{9}{10}$910, $0.5$0.5

    A

    $\frac{9}{10}$910, $0.5$0.5, $40%$40%

    B

    $\frac{9}{10}$910, $40%$40%, $0.5$0.5

    C

    $0.5$0.5, $40%$40%, $\frac{9}{10}$910

    D

Outcomes

NA3-1

Use a range of additive and simple multiplicative strategies with whole numbers, fractions, decimals, and percentages.

NA3-5

Know fractions and percentages in everyday use.

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