PERCENTS FRACTIONS Essential Question How do I express fractions as decimals Numerator goes inside Denominator goes outside Use long division Example Express as a decimal 0 3 ID: 468882
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Slide1
DECIMALS
PERCENTS
FRACTIONSSlide2
Essential Question
How do I express fractions as decimals ?
* Numerator goes inside
* Denominator goes outside
* Use long divisionSlide3
Example:
Express
as a decimal.
.
0
3
-24
8
3
.00
6
Begin long division
Add decimal and zeros as needed
Align decimal and divide
* Terminate
* Repeat
OR
0
7
-56
4
0
0
5
-40
0
Answer will:Slide4
Express
as a decimal.
.
0
7
-28
4
3
.00
2
0
5
-20
0
You try:Slide5
Essential Question
How do I express
mixed numbers as decimals ?
* Set up long division
on the fraction part
* Place whole number
in front of decimal Slide6
Example:
Convert
to a decimal.
.
5
1
- 8
8
1
.00
2
* Set up long division
on the fraction part
and complete the division.
0
2
-16
4
0
0
5
-40
0
.
* Place whole number
in front of decimal
* This is the final answerSlide7
.
Convert
to a decimal.
You try:
.
12
6
-48
8
5
.00
2
0
2
-16
4
0
0
5
-40
0Slide8
Essential Question
How do I express
decimals as fractions?
* Simplify
* Convert decimal to
base 10 fractionSlide9
Examples:
Convert decimal to base 10 fraction; simplify
0.4
10
=
4
5
=
2
0.35
100
=
35
20
=
7
7.28
100
=
28
50
=
14
7
7
=
25
7
7Slide10
You try
Convert decimal to base 10 fraction; simplify
0.8
10
=
8
5
=
4
0.04
100
=
4
50
=
2
3.36
100
=
36
50
=
18
3
3
=
25
9
3
25
=
1Slide11
Essential Question
How do I express Decimals as Percents?
* Add the % sign
* Move decimal point
2 places to the rightSlide12
Examples:
Express 0.375 as a percent
Move decimal point 2 places to the right and add the % sign.
0.375
37.5 %
=
2.867
286.7 %
=
Convert 2.867 to a percentSlide13
You Try
0.625
62.5 %
=
.7
70 %
=
Convert decimals to percents
Make sure there are at least two digits at the decimal points; add zero where needed (this does not change the value of the number).
0Slide14
Essential Question
How do I express Percents as decimals?
* remove the % sign
* Move decimal
2 places to the leftSlide15
Example:
Express 56.25 % as a decimal
Move decimal point 2 places to the
LEFT
and remove the % sign.
56.25 %
.5625
=
125 %
1.25
=Slide16
You try
Express the percents as decimals
97 %
.97
=
3.5 %
=
.035
0
42.8 %
=
.428Slide17
Essential Question
* Set up a proportion : "out of 100"
How do I express
fractions as percents?
* Change fraction to decimal,
then change the decimal to percent
orSlide18
Set up an “ out of 100 ” proportion
4
1
=
100
Example:
Express as a percent.
Check to see how you would convert the first denominator to 100.
x
25
x
25
25
=
25 %
Convert numeratorSlide19
Express as a percent.
You try
5
3
=
100
x
20
x
20
60
=
60 %Slide20
Convert fractions to percents.
You try some more
x
2
26 %
14 %
24 %
x
2
x
4
x
4
14
24
30 %
x
10
x
10
30Slide21
Or you can express fractions as percents by long division
4
1
=
0.25
0.25
=
25 %
Convert decimal to percent by moving 2
decimal places to the right and adding % sign
or
25.0 %Slide22
You try:
Express fractions as percents by long division
0.875
87.5 %
=
1.25
125 %
=
=
37.5 %
.375Slide23
Essential Question
How do I express
percents as fractions?
* Divide the number by 100
* Remove the percent symbol
* SimplifySlide24
Examples:
Express percents to fractions by dividing by 100
100
30
=
30 %
=
10
3
100
6
=
6 %
=
50
3
180 %
=
100
180
=
10
18Slide25
You try
Express percents to fractions by dividing by 100
100
35
=
35 %
=
20
7
100
5
=
5 %
=
20
1
130 %
=
100
130
=
10
13