Carson Elementary And Intermediate Algebra 3e

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Carson Elementary and Intermediate Algebra 3e
Section 3.2
Objectives
1.
Write a percent as a fraction or decimal number.
2.
Write a fraction or decimal number as a percent.
3.
Translate and solve percent sentences.
4.
Solve problems involving percents.
Vocabulary
Percent
A ratio representing some part out of 100
Prior Knowledge
Ratio: A ratio is a comparison of two quantities using a quotient.
a
c
, where b ≠ 0 and d ≠ 0
Proportion: An equation in the form
b
d
Cross Product: The cross product can be used to solve for a missing quantity
New Concepts
Converting a fraction to a decimal, and from a decimal to a percent
FRACTION
to
DECIMAL
to
PERCENT
Divide
move decimal to the right 2 places
START HERE:
Example 1
3
To convert a decimal to
3
The fraction
is the
Write
as a decimal
a percent, move the
4
4
decimal point two
same as 3 divided by 4,
places to the right and
so do the division,
write with a percent (%)
adding a decimal and
sign.
zeroes as necessary.
. 0
75
. 0
75
75
%
4
3
0 .
3
. 0
75
4
Example 2
7
7
The fraction
is the
Write
as a decimal
To convert a decimal to
8
8
a percent, move the
same as 7 divided by 8,
decimal point two
so do the division,
places to the right and
adding a decimal and
write with a percent (%)
zeroes as necessary.
sign.
. 0
875
8
. 7
00
. 0
875
87
5 .
%
7
. 0
875
8
C.Stewart 2011
page 1

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