Percents, Decimals, and Fractions Chapter 1 / Whole Numbers and Introduction to Algebra Section 6.2 Percents, Decimals, and Fractions

Chapter 1 / Whole Numbers and Introduction to Algebra Understanding Percent 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. 1% = = 0.01 Martin-Gay, Prealgebra & Introductory Algebra, 2ed

Chapter 1 / Whole Numbers and Introduction to Algebra Writing a Percent as a Decimal Replace the percent symbol with its decimal equivalent, 0.01; then multiply. 43% = 43(0.01) = 0.43 100% = 100(0.01) = 1.00 or 1 Martin-Gay, Prealgebra & Introductory Algebra, 2ed

Chapter 1 / Whole Numbers and Introduction to Algebra Writing a Decimal as a Percent Multiply by 1 in the form of 100%. 0.65 = 0.65(100%) = 65.% or 65% Martin-Gay, Prealgebra & Introductory Algebra, 2ed

Chapter 1 / Whole Numbers and Introduction to Algebra 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. 43% = 43 = Martin-Gay, Prealgebra & Introductory Algebra, 2ed

Chapter 1 / Whole Numbers and Introduction to Algebra Writing a Fraction as a Percent Multiply by 1 in the form of 100%. Martin-Gay, Prealgebra & Introductory Algebra, 2ed

Chapter 1 / Whole Numbers and Introduction to Algebra Helpful Hint 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. Martin-Gay, Prealgebra & Introductory Algebra, 2ed

Chapter 1 / Whole Numbers and Introduction to Algebra 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 percent as a fraction, replace the % symbol with its fraction equivalent, ; then multiply. To write a decimal or fraction as a percent, multiply by 100%. Martin-Gay, Prealgebra & Introductory Algebra, 2ed