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Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Chapter 7 Percents
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Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. 7.1 Percents, Decimals, and Fractions
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Martin-Gay, Prealgebra, 6ed 33 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. The word percent comes from the Latin phrase per centum, which means “per 100.” Percent means per one hundred. The “%” symbol is used to denote percent. Understanding Percent
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Martin-Gay, Prealgebra, 6ed 44 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. 0.65 0.65(100%) 65.% or 65% Writing a Decimal as a Percent Multiply by 1 in the form of 100%.
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Martin-Gay, Prealgebra, 6ed 55 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Writing a Percent as a Decimal 43% 43(0.01) 0.43 100% 100(0.01) 1.00 or 1 Replace the percent symbol with its decimal equivalent, ; then multiply. Replace the percent symbol with its decimal equivalent, 0.01; then multiply.
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Martin-Gay, Prealgebra, 6ed 66 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Writing a Percent as a Fraction Replace the percent symbol with its fraction equivalent, ; then multiply. Don’t forget to simplify the fraction, if possible.
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Martin-Gay, Prealgebra, 6ed 77 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Writing a Fraction as a Percent Multiply by 1 in the form of 100%.
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Martin-Gay, Prealgebra, 6ed 88 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. We know that 100% = 1 Recall that when we multiply a number by 1, we are not changing the value of that number. Therefore, when we multiply a number by 100%, we are not changing its value but rather writing the number as an equivalent percent. Helpful Hint
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Martin-Gay, Prealgebra, 6ed 99 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. To write a percent as a fraction, replace the % symbol with its fraction equivalent, ; then multiply. To write a percent as a fraction, replace the % symbol with its fraction equivalent, ; then multiply. Summary To write a percent as a decimal, replace the % symbol with its decimal equivalent, 0.01; then multiply. To write a decimal or fraction as a percent, multiply by 100%.
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