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COMPARE AND ORDER FRACTIONS, DECIMALS, AND PERCENTS
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Compare and Order Fractions, Decimals & Percents
Fractions, decimals, and percents are different ways to write the same number. We can switch back and forth between forms to help us solve problems more efficiently.
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You Try: Represent the shaded area as a fraction, decimal, and percent
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Represent the shaded area as a fraction, decimal, and percent
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You Try: Represent the shaded area as a fraction, decimal, and percent
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Complete the table with your group
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Complete the table with your group
0.25 25% π ππππ 0.07% π π 1.25 0.6 66.7% π πππ 0.005
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Compare and Order Fractions, Decimals & Percents
To compare fractions, decimals, and percents, it is easier to write all the numbers as percents or decimals. Decimals and percents are normally the easiest! Remember to put all numbers back into their original form for the answer.
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Example #1 Order ΒΎ, and 70% from least to greatest ΒΎ = (this is a benchmark fraction, but you can divide the numerator by the denominator if necessary) 0.735 = (already a decimal) 70% = 0.7 (dividing 70 by 100, which moves the decimal place two times to the left)
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Example #1, continued Letβs add zero placeholders to even the field.
0.750 0.735 0.700 Remember to put them back in their original form: 70%, 0.735, ΒΎ Now line up your decimals: 0.75 0.735 0.7 Now, itβs easy to see the order: 0.7, 0.735, 0.75
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Practice Time β do this with a partner!
Which of the following is in order from least to greatest? a) , 28%, 1 4 , 0.23 b) , 0.23, 1 4 , 28% c) , 1 4 , 28%, 1 5 d) , 1 5 , 0.23, 28%
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One More With Your Partner!
Which of the following choices are in order from greatest to least? a) 82%, 4/8, 0.26, 77%, 2/3 b) .26, 4/8, 2/3, 77%, 82% c) 4/8, .26, 77%, 82%, 2/3 d) 82%, 77%, 2/3, 4/8, .26
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On Your Own β order from least to greatest
π π , 0.725, 85%, π π π π , 37%, 0.38, 0.374 π π , 0.725, π π , 85% 37%, 0.374, π π , 0.38
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QUESTIONS?
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