Order Percents, Decimals and Fractions

Order Percents, Decimals and Fractions

​Glue "Ordering Percents, Fractions, and Decimals Worksheet to page 119 in your math book.

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You may listen to the music in GC​ while you work (I added it for today)

By Erika Miller

To compare and order easier, convert your numbers to the same format

​​For example: Order 25%, 2/3, 4/5, and 0.37 from greatest to least

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Convert all numbers to decimals and then put them in order.

​25%=0.25

2/3=0.67​ Greatest 0.80, 0.67, 0.37, 0.25 Least

4/5=0.80

0.37=0.37

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To compare and order easier, convert your numbers to the same format

​​For example: Order 25%, 2/3, 4/5, and 0.37 from greatest to least

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Convert all numbers to percent and then put them in order.

​25%=25%

2/3=67%​ Greatest 80%, 67%, 37%, 25% Least

4/5=80%

0.37=37%

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Poll

Which do you think is going to be easier to compare these numbers

13%, 1/3, 0.35, 1/4

• Convert them all to fractions

• Convert them all to decimals

• Convert them all to percents

Which is going to be easier to compare these numbers

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13%, 1/3, 0.35, 1/4

I think converting to percents or decimals would be easier than fractions because the fractions are "benchmark fractions"

(benchmark means the ones we should memorize)

Multiple Choice

Convert to decimals and order from LEAST to GREATEST

13%, 1/3, 0.35, 1/4

• 0.13, 0.33, 0.35, 0.25

• 0.25, 0.35, 0.33, 0.13

• 0.13, 0.25, 0.33, 0.35

Multiple Choice

Convert to precents and order from LEAST to GREATEST

13%, 1/3, 0.35, 1/4

• 13%, 33%, 35%, 25%

• 25%, 35%, 33%, 13%

• 13%, 25%, 33% 35%

​Write this in your notes

Poll

Which do you think is going to be easier to compare these numbers

2/5, 45%, 0.25, 1/3

• Convert them all to fractions

• Convert them all to decimals

• Convert them all to percents

Which is going to be easier to compare these numbers

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​2/5, 45%, 0.25, 1/3

I think converting to percents or decimals would be easier than fractions because the fractions are "benchmark fractions"

(benchmark means the ones we should memorize)

Multiple Choice

Convert to decimals and order from LEAST to GREATEST

2/5, 45%, 0.25, 1/3

• 0.25, 0.33, 0.40, 0.45

• 0.45, 0.40, 0.33, 0.25

• 0.25, 0.40, 0.33, 0.45

Multiple Choice

Convert to percents and order from LEAST to GREATEST

2/5, 45%, 0.25, 1/3

• 25%, 33%, 40%, 45%

• 45%, 40%, 33%, 25%

• 25%, 40%, 33%, 45%

​Write this in your notes

Poll

Which do you think is going to be easier to compare these numbers

143%, 14.5, 14/25, 14/100

• Convert them all to fractions

• Convert them all to decimals

• Convert them all to percents

Which is going to be easier to compare these numbers

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​143%, 14.5, 14/25, 14/100

I think converting to Fractions is actually going to be easier on this one because we can make them all have denominators of 100 pretty easily.

Multiple Select

Convert 143% into a fraction with a denominator of 100

(Choose 2 answers)

(Hint: Think about what MORE that 100% means)

• $$\frac{143}{100}$$

• $$\frac{143}{1000}$$

• $$\frac{143}{10}$$

• 
  $$1\ \frac{43}{100}$$

Multiple Select

Convert 14.5 into a fraction with a denominator of 100

(Choose 2 answers)

(Hint: Think about money)

• $$14\ \frac{5}{10}$$

• $$14\ \frac{50}{100}$$

• $$\frac{1450}{100}$$

• $$\frac{145}{10}$$

Multiple Choice

Convert 14/25 into a fraction with a denominator of 100

(Hint: how many 25's in 100)

• $$\frac{14}{100}$$

• $$\frac{28}{50}$$

• $$\frac{56}{100}$$

• 14.25

Multiple Choice

(Use the answers from the previous 3 questions)

Convert to fractions and order from LEAST to GREATEST

143%, 14.5, 14/25, 14/100

• $$\frac{14}{100}$$ $$\frac{56}{100}$$ $$\frac{143}{100}$$ $$\frac{1450}{100}$$

• $$\frac{1450}{100}$$ $$\frac{143}{100}$$ $$\frac{56}{100}$$ $$\frac{14}{100}$$

​Write this in your notes

​We could have also done this one with decimal or percents instead of fractions

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143% = 1.43

14.5 = 1450% Least 0.14, 0.56, 14.3, 14.5 Greatest

14/25 = 0.56 = 56%

​14/100 = 0.14 = 14% Least 14%, 56%, 143%, 1450% Greatest

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Finish the rest of this notes page

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Use pencil in case you make a mistake - your notes should be accurate.

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​When you finish, you may check your work in the notes section on GC.

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You may use a calculator and please ask questions​ if you need help.

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you may work with a buddy, IF you can do so calmly :) ​

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