6-3 Estimate with Percents Course 2 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation

Homework pg. 338 #11-19 and29-32 Warm Up Write each percent as a fraction and as a decimal % January 26, % 3. 32% 4. 17% 3434, 0.75 Course Estimate with Percents, , ,

EQ: When is the situation to use estimate of a percent or when does it need to be exact. Course Estimate with Percents Power Point Lesson 6:3 KIN Page

Learn to estimate percents. Course Estimate with Percents

Course Estimate with Percents The table shows common percents and their fraction equivalents. You can use fractions to estimate the percent of a number by choosing a fraction that is close to a given percent. Percent Fraction 10%20%25%50% 33 % %

Use a fraction to estimate 27% of 63. Additional Example 1: Using Fractions to Estimate Percents Course Estimate with Percents 27% of 63  1414 · 63  1414 · 60  15 27% of 63 is about 15. Compatible numbers are close to the numbers in the problem and help you use mental math to find a solution. Remember! Think: 27% is about 25% and 25% is equivalent to Change 63 to a compatible number. Multiply.

Use a fraction to estimate 48% of 91. Check It Out: Example 1 Course Estimate with Percents 48% of 91  1212 · 91  1212 · 90  45 48% of 91 is about 45. Think: 48% is about 50% and 50% is equivalent to Change 91 to a compatible number. Multiply.

Tara’s T’s is offering 2 T-shirts for $16, while Good-T’s is running their buy one for $9.99, get one for half price sale. Which store offers the better deal? Additional Example 2: Consumer Math Application Course Estimate with Percents First find the discount price for 2 t-shirts at Good T’s. 50% of $9.99 = 1212 · $9.99  1212 · $10  $5 The second shirt cost approximately $5. Since $10 + $5 = $15, the 2 T-shirts for $15 at Good-T’s is the better deal. Think: 50% is equivalent to. 1 2 Change $9.99 to a compatible number. Multiply.

Check It Out: Example 2 Insert Lesson Title Here Course Estimate with Percents First find the discount on the notebook at Billy’s Office Supply. 25% of $9.75 = 1414 · $9.75  1414 · $10  $2.50 The discount is approximately $2.50. Since $10 - $2.50 = $7.50, the notebook from K’s Office Supply Store is the better deal. Think: 25% is equivalent to. 1 4 Change $9.75 to a compatible number. Multiply. Billy’s Office Supply Store is offering 25% off a leather notebook, originally priced at $9.75. K’s Office Supply Store offers the same notebook, not on sale, at $7.00. Which store offers the better deal?

Use 1% or 10% to estimate the percent of each number. Additional Example 3A: Estimating with Simple Percents Course Estimate with Percents 4% of is about 20, so find 4% of 20. 1% of 20 = 20. 4% of 20 = 4 · 0.2 = 0.8 4% of 18 is about % equals 4 · 1%..

Use 1% or 10% to estimate the percent of each number. Additional Example 3B: Estimating with Simple Percents Course Estimate with Percents 29% of 80 29% is about 30, so find 30% of % of 80 = % of 80 = 3 · 8.0 = % of 80 is about % equals 3 · 10%..

Use 1% or 10% to estimate the percent of each number. Check It Out: Example 3A Course Estimate with Percents 5% of is about 15, so find 5% of 15. 1% of 15 = 15. 5% of 15 = 5 · 0.15 = % of 14 is about % equals 5 · 1%..

Tim spent $58 on dinner for his family. About how much money should he leave for a 15% tip? Additional Example 4: Consumer Math Application Course Estimate with Percents Since $58 is about $60, find 15% of $60. 15% = 10% + 5% 10% of $60 = $6 5% of $60 = $6 ÷ 2 = $3 $6 + $3 = $9 Tim should leave about $9 for a 15% tip. Think: 15% is 10% + 5%. 5% is of 10% so divide $6 by Add the 10% and 5% estimates.

Amanda spent $12 on a hair cut. About how much money should she leave for a 15% tip? Check It Out: Example 4 Course Estimate with Percents Since $12 is about $10, find 15% of $10. 15% = 10% + 5% 10% of $10 = $1 5% of $10 = $1 ÷ 2 = $0.50 $1 + $0.50 = $1.50 Amanda should leave about $1.50 for a 15% tip. Think: 15% is 10% + 5%. 5% is of 10% so divide $1 by Add the 10% and 5% estimates.

Lesson Quiz 1. Use a fraction to estimate 48% of A café is offering 10% off the $4.99 lunch. If a diner is offering the same lunch for $4.59, which is offering the better deal? Estimate the percent of each number. 3. 4% of % of Mr. and Mrs. Dargen spend $46.25 on a meal. About how much should they leave for a 15% tip? The café 36 Insert Lesson Title Here Course Estimate with Percents $7