1. Percent Chapter Seven

2. Percents, Decimals, and Fractions Section 7.1

3. 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 1%   0.01 3 Martin-Gay, Prealgebra, 5ed

4. 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. 4 Martin-Gay, Prealgebra, 5ed

5. 0.65  0.65(100%)  65.% or 65% Writing a Decimal as a Percent Multiply by 1 in the form of 100%. 5 Martin-Gay, Prealgebra, 5ed

6. 43%  43  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. 6 Martin-Gay, Prealgebra, 5ed

7. Writing a Fraction as a Percent Multiply by 1 in the form of 100%. 7 Martin-Gay, Prealgebra, 5ed

8. 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. 8 Martin-Gay, Prealgebra, 5ed

9.  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, ; then multiply.  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.  To write a decimal or fraction as a percent, multiply by 100%. 9 Martin-Gay, Prealgebra, 5ed