sec. 8.6
TRANSCRIPT
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Learning Target:Students will learn how to write
fractions and decimals as percents.
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What is a percent?
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If a percent is a ratio that compares a number to 100 then how could I use
that fact to figure out the percent of a fraction like 17/25?
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You can write an equivalent ratio to the ratio given with a denominator of 100.
17/25 = 68/100 = 68%
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Write the fraction as a percent.¾
7/107/209/50
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Write the fraction as a percent.¾ = 75/100 = 75%
7/10 = 70/100 = 70%7/20 = 35/100 = 35%9/50 = 18/100 = 18%
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What’s the only problem with finding the percent this way?
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What’s the only problem with finding the percent this way?
A: Not every denominator is going to be a factor of 100 so you there will still
be times you will just have to divide the fraction to get a decimal and
change it from there.
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How do you write a decimal as a percent using what we know about
how to write a percent as a decimal?
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To write a percent as a decimal:
Divide the value by 100
(Move your decimal two places to the left which will make the
number smaller.)
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To write a decimal as a percent:
Multiply the value by 100
(Move your decimal two places to the right which will make the
number bigger.)
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But we can also write a decimal as a percent by first writing it as a fraction
and then using the what we just learned to change the fraction to a
percent.
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Changing a decimal to a percent.
0.3 = 3/103/10 = 30/10030/100 = 30%
0.105 = 105/1,000105/1,000 = 10.5/100
10.5/100 = 10.5%
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Write the decimal as a percent.
0.90.07
0.041
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Write the decimal as a percent.
0.9 = 9/10 = 90/100 = 90%0.07 = 7/100 = 7%
0.041 = 41/1,000 = 4.1/100 = 4.1%
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Now it is time for us to put all of our ideas together to understand the
relationship between a set of numbers.
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Order the numbers 2/3, 60% and 0.64 from least to greatest.
What are the different ways that you could approach this problem?
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Order the numbers 2/3, 60% and 0.64 from least to greatest.
A: 60%, 0.64, 2/3
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It would be helpful for you to recognize common percents, decimals and
fractions such as the ones listed on the top of page 431.
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You have attended 15 out of 20 computer classes. You must attend 85% of the classes to get a piece of
software free. Do you get the software? Explain.
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You have attended 15 out of 20 computer classes. You must attend 85% of the classes to get a piece of
software free. Do you get the software? Explain.
A: 15 / 20 = 0.75 = 75%Since 75% < 85% you do not get the
software.
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Can you write fractions and decimals as percents?