1. PERCENT(%)
Lesson 11

2. 60 100 212 100 = 0.6 = 2.12 WHAT DOES PERCENT MEAN?
Percent means “out of 100”
EXAMPLE: 60
100
212
100 =
0.6 =
2.12

3. HOW TO CHANGE PERCENT TO A FRACTION
Make an equivalent fraction out of 100
Numerator is the answer with a % sign. 6 20 30
100 =

4. TRY THESE
x20 2 5 40
100 =
x20 3 4
x25 75
100 =
x25 6 15 40
100 2 5 ÷3
x20 = = ÷3
x20

5. HOW TO CHANGE A DECIMAL TO PERCENT
Place Value
0.415
thousandths
tenths
hundredths
EXAMPLE:
x10 9 10 90
100 = 90 %
0.9 = =
x10

6. HOW TO CHANGE DECIMAL TO PERCENT
Why do we say move the decimal two places to the right?
Multiply by 100 because percent means “out of 100”
0.90 = 90 %

7. TRY THESE
0.7
0.56
0.349
1.26

8. HOW TO CHANGE PERCENT TO A FRACTION IN LOWEST TERMS
EXAMPLE ÷2 9 25 ÷2 36
100 18 50 % 36 = = = ÷2 ÷2
USE DIVISIBILITY RULES TO MAKE THIS FASTER

9. HOW TO CHANGE PERCENT TO A FRACTION IN LOWEST TERMS
EXAMPLE 1 4
÷25 5 4
125
100 = 1
125 % = =
÷25
Why do we say move the decimal two places to the left?
We are dividing by 100 because percent is “out of 100”

10. HOW TO FIND THE PERCENT OF A NUMBER
EXAMPLE 25 % 40 OF
1) Change Percent to a fraction and multiply 1 4 40 4 40 10 25 % = x = =

11. HOW TO FIND THE PERCENT OF A NUMBER
2) If both numbers end in 0, multiply the first digits together 20 % 60 OF 2 6 = 12 x

12. 50 % 10 50 % = 10 10 50 = ? % 10 = ? 10 = 20 DETERMINE THE NUMBER x x
OF A NUMBER IS
_____ x 50 % = 10 10 ÷ 50 = ? % 1 2 10 ÷ = ? 2 1 10 x = 20

13. EXAMPLE 60 % 42
OF A NUMBER IS

14. WHAT “PERCENT OF” QUESTIONS80 IS 16

15. WHAT “PERCENT OF” QUESTIONS80 IS 16 80 = 16 x
_____

16. WHAT “PERCENT OF” QUESTIONS80 IS 16 x
_____ = 16 80 16 80 = ?

17. WHAT “PERCENT OF” QUESTIONS80 IS 16 80 = 16 x
_____
REDUCE TO LOWEST TERMS 16 80 ? =

18. WHAT “PERCENT OF” QUESTIONS80 IS 16 80 = 16 x
_____
REDUCE TO LOWEST TERMS 16 80 ? = 2 10 =
0.2 20 % =

19. Try this Microwave costs $119.00 Sale: 15% regular price
Find the change in Price
Find the sale Price

20. Microwave costs $119.00 Sale: 15% regular price
Find the change in price
$119 x
0.15 =
$17.48

21. Microwave costs $119.00 Sale: 15% regular price
Find the sale price
$119 x
0.15 =
$17.85
$119 -
$17.85 =
$101.15 or
$119 x
0.85 =
$101.15

22. TRY THIS A Frisbee costs $5.98 after a 20% discount.
Find the original price
HINT: This is the same as “% of a number” question

23. A Frisbee costs $5.98 after a 20% discount.
Find the original price
80% x
__________ =
$5.98
$5.98
0.8 =
$7.48

24. TRY THIS DVD is regularly $130 is on sale for $89.
What was the discount ( in %)

25. DVD is regularly $130 is on sale for $89.
What was the discount ( in %)
Original - New
Original
$130 - $89
$130
$41
$130 = =
31.5 %