1. Warm Up
Problem of the Day
Lesson Presentation
Lesson Quizzes

2. Warm Up
Write each percent as a fraction and as a decimal.
1. 75%
2. 10%
3. 32%
4. 17%
3 4
, 0.75
, 0.1 10 1
, 0.32 25 8
, 0.17
100 17

3. 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? 1 3
6.4 miles

4. Sunshine State Standards
Prep for MA.7.A.1.2 Solve percent problems, including problems involving discounts, … taxes,…[and] tips…

5. The table shows common percents and their fraction equivalents
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
33 % 1 3
66 % 2 3
10%
20%
25%
50% 1 10 1 5 1 4 1 3 1 2 2 3

6. Additional Example 1: Using Fractions to Estimate Percents
Use a fraction to estimate 27% of 63. 1 4
Think: 27% is about 25% and
25% is equivalent to .
27% of 63 
· 63 1 4 1 4
Change 63 to a compatible number. 
· 60
 15
Multiply.
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!

7. Check It Out: Example 1A
Use a fraction to estimate the percent of each number.
48% of 81 1 2
48% of 81 
· 81 1 2 
· 80
 40

8. Check It Out: Example 1B
Use a fraction to estimate the percent of each number.
89% of 101 9 10
89% of 101 
· 101 9 10 
· 100
 90

9. Check It Out: Example 1C
Use a fraction to estimate the percent of each number.
33% of 57 1 3
33% of 57 
· 60 1 3 
· 60
 20

10. Check It Out: Example 1D
Use a fraction to estimate the percent of each number.
12% of 5,005 1 10
12% of 5,005 
· 5,000 1 10 
· 5,000
 500

11. Additional Example 2: Consumer Math Application
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?
First find the discount price for 2 t-shirts at Good T’s. 3 10 3 10
30% of $9.99 =
· $9.99
Think: 30% is equivalent to . 1 3
· $9.99
Change 3/10 to a compatible number. 
 $3.33
Multiply.
The second shirt costs approximately $3.33. Since $10 + $3 = $13, the 2 T-shirts at Good-T’s is the better deal.

12. Check It Out: Example 2
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?
25% of $9.75 
25% of 10 1 4
· 10 
 2.50
= 7.50
Price at Billy’s office supply; $7.50
Price at K’s office supply; $7
7.50 > $7 so K’s Office Supply Store offers a better deal.

13. 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 = . 45 .
10% of 45 = 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.

14. Additional Example 3A: Estimating with Simple Percents
Use 1% or 10% to estimate the percent of each number.
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% equals 4 · 1%.
4% of 18 is about 0.8.

15. Additional Example 3B: Estimating with Simple Percents
Use 1% or 10% to estimate the percent of each number.
29% of 80
29% is about 30, so find 30% of 80.
10% of 80 = 80. .
30% of 80 = 3 · 8.0 = 24.0
30% equals 3 · 10%.
29% of 80 is about 24.

16. Check It Out: Example 3A
Use 1% or 10% to estimate the percent of each number.
21% of 60
21% is close to 20%
10% of 60 = 6
20% of 60 = 2 · 6 = 12
about 12

17. Check It Out: Example 3B
Use 1% or 10% to estimate the percent of each number.
3% of 29
29 is close to 30
1% of 30 = 0.3
3% of 30 = 3 · 0.3 = 0.9
about 0.9

18. Additional Example 4: Consumer Math Application
Tim spent $58 on dinner for his family. About how much money should he leave for a 15% tip?
Since $58 is about $60, find 15% of $60.
15% = 10% + 5%
Think: 15% is 10% + 5%.
10% of $60 = $6
5% is of 10% so divide $6 by 2. 1 2
5% of $60 = $6 ÷ 2 = $3
$6 + $3 = $9
Add the 10% and 5% estimates.
Tim should leave about $9 for a 15% tip.

19. Check It Out: Example 4
Amanda spent $28.80 on a hair cut. About how much money should she leave for a 15% tip?
Since $28.80 ≈ $30, find 15% of 30.
15% = 10% + 5%
10% of 30 = 3.00
5% of 30 = 3.00 ÷ 2 = 1.50
= $4.50 tip
about $4.50

20. Lesson Quizzes
Standard Lesson Quiz
Lesson Quiz for Student Response Systems

21. Lesson Quiz
1. 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? 36
the café
Possible answers:
8.8 15 $7

22. Lesson Quiz for Student Response Systems
1. Use a fraction to estimate 52% of 84.
A. 30
B. 40
C. 50
D. 60

23. Lesson Quiz for Student Response Systems
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.

24. Lesson Quiz for Student Response Systems
3. Use 1% or 10% to estimate 6% of 239.
A. 2.4
B. 14.4
C. 16.6
D. 24

25. Lesson Quiz for Student Response Systems
4. Use 1% or 10% to estimate 18% of 88.
A. 8.8
B. 14
C. 18
D. 22

26. Lesson Quiz for Student Response Systems
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