6-3 estimating with percents warm up warm up lesson presentation lesson presentation problem of the...
TRANSCRIPT
6-3 Estimating with Percents
Warm UpWarm Up
Lesson PresentationLesson Presentation
Problem of the DayProblem of the Day
Lesson QuizzesLesson Quizzes
6-3 Estimating with Percents
Warm UpWrite each percent as a fraction and as a decimal.
1. 75%
2. 10%
3. 32%
4. 17%
34
, 0.75
, 0.1 10 1
, 0.32 25 8
, 0.17 10017
6-3 Estimating with Percents
Problem of the Day
You are biking to the library. When you are 75% of the way there, you realize you forgot a book. So you turn around and head back. When you are of the way back you realize you don’t need the book, so you turn around again and bike 3.2 miles back to the library. How far do you live from the library?
6.4 miles
13
6-3 Estimating with Percents
Prep for MA.7.A.1.2 Solve percent problems, including problems involving discounts, … taxes,…[and] tips…
Sunshine State Standards
6-3 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 %13 66 %2
3
15
14
13
12
23
110
6-3 Estimating with Percents
Use a fraction to estimate 27% of 63.
Additional Example 1: Using Fractions to Estimate Percents
27% of 63 14
· 63
14
· 60
1527% 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 .14
Change 63 to a compatible number.
Multiply.
6-3 Estimating with Percents
Use a fraction to estimate the percent of each number.
Check It Out: Example 1A
48% of 81 12
· 81
12
· 80
40
48% of 81
6-3 Estimating with Percents
Use a fraction to estimate the percent of each number.
Check It Out: Example 1B
89% of 101 9 10
· 101
9 10
· 100
90
89% of 101
6-3 Estimating with Percents
Use a fraction to estimate the percent of each number.
Check It Out: Example 1C
33% of 57 13
· 60
13
· 60
20
33% of 57
6-3 Estimating with Percents
Use a fraction to estimate the percent of each number.
Check It Out: Example 1D
12% of 5,005 1 10
· 5,000
1 10
· 5,000
500
12% of 5,005
6-3 Estimating with Percents
Tara’s T’s is offering 2 T-shirts for $18, while Good-T’s is having a sale in which you buy one T-shirt for $9.99 and get 30% off a second T-shirt. 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.
30% of $9.99 = 310
· $9.99
13
· $9.99
$3.33The second shirt costs approximately $3.33. Since $10 + $3 = $13, the 2 T-shirts at Good-T’s is the better deal.
Think: 30% is equivalent to . 310
Change 3/10 to a compatible number.
Multiply.
6-3 Estimating with Percents
Check It Out: Example 2
25% of $9.75 25% of 10
14
· 10
2.509.75 - 2.50 = 7.50Price at Billy’s office supply; $7.50Price at K’s office supply; $77.50 > $7 so K’s Office Supply Store offers a better deal.
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, for $7.00. Which store offers the better deal?
6-3 Estimating with Percents
Another way to estimate percents is to find1% or 10% of a number. You can do thisby 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.
. .45. 45.
6-3 Estimating with Percents
Use 1% or 10% to estimate the percent of each number.
Additional Example 3A: Estimating with Simple Percents
4% of 18
18 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 0.8.
4% equals 4 · 1%.
.
6-3 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 80.
10% of 80 = 80.
30% of 80 = 3 · 8.0 = 24.0
29% of 80 is about 24.
30% equals 3 · 10%.
.
6-3 Estimating with Percents
Use 1% or 10% to estimate the percent of each number.
Check It Out: Example 3A
21% of 60
21% is close to 20%
10% of 60 = 6
20% of 60 = 2 · 6 = 12
about 12
6-3 Estimating with Percents
Use 1% or 10% to estimate the percent of each number.
Check It Out: Example 3B
3% of 29
29 is close to 30
1% of 30 = 0.3
3% of 30 = 3 · 0.3 = 0.9
about 0.9
6-3 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 2.
12
Add the 10% and 5% estimates.
6-3 Estimating with Percents
Amanda spent $28.80 on a hair cut. About how much money should she leave for a 15% tip?
Check It Out: Example 4
Since $28.80 ≈ $30, find 15% of 30.
15% = 10% + 5%
10% of 30 = 3.00
5% of 30 = 3.00 ÷ 2 = 1.50
3.00 + 1.50 = $4.50 tip
about $4.50
6-3 Estimating with Percents
Standard Lesson Quiz
Lesson Quizzes
Lesson Quiz for Student Response Systems
6-3 Estimating with Percents
Lesson Quiz1. Use a fraction to estimate 48% of 72.
2. 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 220
4. 19% of 75
5. Mr. and Mrs. Dargen spend $46.25 on a meal. About how much should they leave for a 15% tip?
the café
36
8.8
15
$7
Possible answers:
6-3 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
6-3 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
6-3 Estimating with Percents
3. Use 1% or 10% to estimate 6% of 239.
A. 2.4
B. 14.4
C. 16.6
D. 24
Lesson Quiz for Student Response Systems
6-3 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
6-3 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