Percents Greater that 100 or Less than 1

Percents Greater that 100% or Less than 1% What You’ll Learn To use percents greater than 100% or less than 1% u

Percents Greater that 100% or Less than 1% u A percent is a ratio that compares a number to 100. • If the number compared to 100 is greater that 100, the percent is greater that 100% • If the number compared to 100 is less than 1 the percent is less than 1%

Example 1: Rewriting Percents Greater than 100 u u u 110% = ? 110% = 1. 10 110% = 110/100 = 11/10 = 1 1/10 u Convert percent to decimal • Move decimal two places to the left u Write decimal as a fraction • Place percent over 100 • Simplify the fraction

Example 2: Rewriting Percents Less Than 1 u u u 0. 7% = ? 0. 7% = 0. 007 0. 7% = 0. 7/100 x 10/10 = 7/1000 u Write percent as a decimal • Move decimal point two places to the left u Write percent as a fraction • Place percent of 100 • Remove decimal by multiplying numerator and denominator by 10 • simplify

Practice u u Write 125% as a decimal and as a fraction Write 0. 35 as a decimal and as a fraction

Example 3: Writing Mixed Numbers as Percents 1 7/8 = ? u Convert 7/8 to decimal u • 8 7 = 0. 875 u Add whole number to decimal • 1 + 0. 875 = 1. 875 u Convert decimal to percent • Move decimal two places to the right • 187. 5

Write each mixed number or decimal as a percent u 3 5/12 u 2 4/5 u 1. 71 u 4. 005