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Published byHugh Garrett Modified over 9 years ago
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PERCENTAGES
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Where can we see percentages? Vocabulary Statistics Discounts in Stores Clothing Tags Finance – Mortgages/ Interest Rates
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What is a PERCENT?! LET’S BREAK IT DOWN!!!!! PERCENT ↙ ↘ One Out Of One Hundred
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When talking about percentages, one whole is represented by 100% The parts that make up the whole will always add to be 100% For example: If your grade on a test was 86%, this means 86% of your answers were correct and 14% of your answers were incorrect 86% + 14% = 100%
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When calculating percentages, we will encounter the word “of” which means “to multiply” in mathematics In other words, we will convert our percent into a decimal and multiply the two values to get our result Let’s Review
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Changing Percentages to Decimals Percentages are represented using the ‘%’ symbol To change from a percent to a decimal, we simply divide the percent by 100, or move our decimal point two places to the left!
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1) 40% = ________3) 25% = _________ 2) 6% = ________4) 123% = ________ 5) 0.72 = ________%7) 0.04 = ________% 6) 3.29 = ________%8) -0.31 = _______%
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graystripegraystripe: once in the 4th grade this guy got a 2% on his math quiz so everyone called him milk for the rest of the year
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What is 25% of 200? Step 1: Convert the Decimal to a Percent Step 2: ‘Of’ means to multiply. Multiply the two values
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What is 3% of 19? 1.Convert to a Decimal 2.Multiply 1.Convert to a Decimal 2.Multiply
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What is 260% of 36? 1.Convert to a Decimal 2.Multiply 1.Convert to a Decimal 2.Multiply
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What is 0.2% of 119? 1.Convert to a Decimal 2.Multiply 1.Convert to a Decimal 2.Multiply
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REVIEW Converting Fractions to Percentages Step 1: Divide the Fraction Step 2: Multiply the Decimal by 100
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Some common fractions as percentages 123415123415
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1 4 1 10 4 5
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What is 4 out of 18? 1.Divide 2.Multiply by 100 1.Divide 2.Multiply by 100
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What is 11 out of 21? 1.Divide 2.Multiply by 100 1.Divide 2.Multiply by 100
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What is 35 out of 42? 1.Divide 2.Multiply by 100 1.Divide 2.Multiply by 100
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Word Problems with Percentages Aaron’s shoe store is having a sale!!!! 30% off any pair of winter boots. You fall in love with the first pair you see. The regular price is $70.00. What will the discounted price of the boots be? How much will the boots cost including tax?
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Word Problems with Percentages I just finished writing Mary’s math test. I know the test was out of 52, and she told me my grade was 78%. How many questions did I get right?
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Moving to the next level!!! 36 is 15% of what number?
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Moving to the next level!!! What percent of 235 is 73?
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Moving to the next level!!! A zoo has 15 emperor penguins. This makes up 30% of the total penguins at the zoo. How many penguins does the zoo have altogether?
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Moving to the next level!!! A grizzly bear’s heart rate drops to 10 beats/minute when it is hibernating. This is 20% of its normal heart rate. How many heartbeats per minute does a grizzly bear have when it is not hibernating?
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YOUR TURN!!!!
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