Objective: You will learn how to convert a decimal to a percent and vice versa by applying your knowledge of how to name a decimal number.

You know that… rational numbers, such a decimal, fraction, and percent represent numbers that are not whole or that are divided into equal parts. any rational number can be renamed to an equivalent decimal, fraction, or percent. the name for a given decimal is read the same as its fraction

Convert decimal to a percent by applying your knowledge of how to name a decimal. Strategy Name the decimal number Write it as a fraction If necessary, rename the fraction so that the denominator is 100 Multiply your fraction by 100%

Convert percent to a decimal by applying your knowledge of how to name a decimal. Strategy Set your percent equal to a fraction with a 100 in the denominator Simplify if necessary Name the fraction to write it as a decimal

Solve a problem involving the conversion of a decimal to a percent and vice versa. Problem: Which of the following is not equivalent to 40% Strategy Represent the percent as a fraction and a decimal Use your work to compare whether the other options are equivalent A.0.04 B C. 2/5 D. 4/10

Conclusion: You learned how to convert a decimal to a percent and vice versa by applying your knowledge of how to name a decimal number. Name the decimal Write it as a fraction If necessary, rename the fraction with a 100 in the denominator Multiply the fraction by 100% Decimal  Percent Percent  Decimal Name the percent as a fraction out of 100 Simplify if necessary Name the fraction as a decimal