Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. 6.2 Percents, Decimals, and Fractions

Martin-Gay, Prealgebra & Introductory Algebra, 3ed 22 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

Martin-Gay, Prealgebra & Introductory Algebra, 3ed 33 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall  0.65(100%)  65.% or 65% Writing a Decimal as a Percent Multiply by 1 in the form of 100%.

Martin-Gay, Prealgebra & Introductory Algebra, 3ed 44 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Writing a Percent as a Decimal 43%  43(0.01)  %  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.

Martin-Gay, Prealgebra & Introductory Algebra, 3ed 55 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.

Martin-Gay, Prealgebra & Introductory Algebra, 3ed 66 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Writing a Fraction as a Percent Multiply by 1 in the form of 100%.

Martin-Gay, Prealgebra & Introductory Algebra, 3ed 77 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

Martin-Gay, Prealgebra & Introductory Algebra, 3ed 88 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall., 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 of Converting Percents, Decimals and Fractions 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%.