1. Decimals Fractions Percents

2. Fraction ↔ Decimal Review
To write a fraction ( ) as a decimal:
Divide  4 ÷ 5
= 0.8
To write any decimal as a fraction, just use place value
6 10
a) 0.6
b) 0.53
c) 0.235
there is a 6 in the tenths place
53 100
there is a 53 in the hundredths place
there is a 235 in the thousandths place

3. The word percent means “per hundred” So, a percent is a ratio of a number to 100. Which means 25% is “25 out of 100”

4. 32 75 ___ ___ 100 100 Modeling Percents
Write the percent modeled by each grid.
A B. 32
100
___ 75
100
___
shaded
total
_______
shaded
total
_______
= 32%
= 75% 4

5. Writing Percent as Decimals
Write 17% as a decimal.
Method 1
Write the percent as a fraction with a denominator of 100. 17
100
17% =
= 0.17
Divide 17 by 100.
Method 2
Use mental math.
17%
= 0.17
Move the decimal point two places to the left. (÷ 100%)

6. Writing Decimals as Percent
Write .005 as a percent.
Method 1
Fraction Form 5
1000
5 is in the Thousandths
Move the decimal to get it out of 100 =
= 0.5%
Method 2
Use mental math.
Move the decimal point two places to the right. (x 100%)
.005
= 0.5%

7. divide 
 ÷100
 hundredths place
x 100 

8. Write each percent as a decimal and as a fraction
1. 𝟗%
2. 𝟒.𝟐𝟓%
= 𝟒.𝟐𝟓 𝟏𝟎𝟎
move decimal =
=𝟎.𝟎𝟒𝟐𝟓
(425 ten thousandths)
= 𝟗 𝟏𝟎𝟎
÷25 = 𝟏𝟕 𝟒𝟎𝟎
=𝟎.𝟎𝟗
(9 hundredths)

9. Finding a Percentage Find 28% of 690 28% = 0.28 “of” means multiply
So 28% of 690 is
0.28 x 690
= 193.2
Must change percentage to a decimal first

10. Finding a Percentage 0.55 x 120 = 66 boys
55% of 120 children at the cinema were boys, how many were boys?
Convert 55% to decimal first
0.55 x 120 =
66 boys

11. Classwork
Page
# 5,6,10a, 11a
(no diagrams or number line required)
12a