6-2 Estimating 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. Fraction Percent 10%20%25%50% 33 % %

6-2 Estimating with Percents Use a fraction to estimate 27% of 63. Additional Example 1: Using Fractions to Estimate 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.

6-2 Estimating with Percents Use a fraction to estimate 48% of 91. Check It Out: Example 1 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.

6-2 Estimating with Percents Another way to estimate percents is to find 1% or 10% of a number. You can do this by moving the decimal point in the number. 1% of 45 = 10% of 45 = To find 1% of a number, move the decimal point two places to the left. To find 10% of a number, move the decimal point one place to the left

6-2 Estimating with Percents Use 1% or 10% to estimate the percent of each number. Additional Example 3A: Estimating with Simple 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%..

6-2 Estimating with Percents Use 1% or 10% to estimate the percent of each number. Additional Example 3B: Estimating with Simple 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%..

6-2 Estimating with Percents 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 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.

6-2 Estimating with Percents Check It Out: Example 2 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?

6-2 Estimating with Percents Use 1% or 10% to estimate the percent of each number. Check It Out: Example 3A 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%..

6-2 Estimating with Percents Use 1% or 10% to estimate the percent of each number. Check It Out: Example 3B 21% of 60 21% is about 20, so find 20% of % of 60 = % of 60 = 2 · 6.0 = % of 60 is about % equals 2 · 10%..

6-2 Estimating with Percents 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 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.

6-2 Estimating with Percents Amanda spent $12 on a hair cut. About how much money should she leave for a 15% tip? Check It Out: Example 4 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.

6-2 Estimating with Percents Standard Lesson Quiz Lesson Quizzes Lesson Quiz for Student Response Systems

6-2 Estimating with Percents 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? Use 1% or 10% to 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 $7 Possible answers:

6-2 Estimating with Percents 1. Use a fraction to estimate 52% of 84. A. 30 B. 40 C. 50 D. 60 Lesson Quiz for Student Response Systems

6-2 Estimating with Percents 2. During the annual sale, Brand A offers 20% off on a $6.55 shirt. Which of the following will make Brand B a better deal? A. Brand B sells the same shirt for $4.89. B. Brand B sells the same shirt for $5.59. C. Brand B sells the same shirt for $5.89. D. Brand B sells the same shirt for $6.29. Lesson Quiz for Student Response Systems

6-2 Estimating with Percents 3. Use 1% or 10% to estimate 6% of 239. A. 2.4 B C D. 24 Lesson Quiz for Student Response Systems

6-2 Estimating with Percents 4. Use 1% or 10% to estimate 18% of 88. A. 8.8 B. 14 C. 18 D. 22 Lesson Quiz for Student Response Systems

6-2 Estimating with Percents 5. Patricia bought accessories worth $52.75 in an online store. About how much would she spend for a 13% shipping charge? A. $5 B. $7 C. $9 D. $13 Lesson Quiz for Student Response Systems