lesson 11. what does percent mean? “out of 100”percent means “out of 100” example: 60 100...
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42510011 0010 1010 1101 0001 0100 1011
Lesson 11Lesson 11
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WHAT DOES PERCENT MEAN?
• Percent means “out of 100”“out of 100”
• EXAMPLE:
60100
== 0.60.6 212100
== 2.122.12
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HOW TO CHANGE PERCENT TO A FRACTION
• Make an equivalent fraction out of 100
• Numerator is the answer with a % sign.
620
== 30100
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TRY THESE
2534 615
==x20
x20
40100
==x25
x25
75100
==÷3
÷3
25
==x20
x20
40100
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HOW TO CHANGE A DECIMAL TO PERCENT
• Place ValuePlace Value 0.0.441155
tenthstenthshundredthshundredths
thousandthsthousandths
EXAMPLE:
0.90.9 == 910
x10
x10
== 90100
== 9090 %%
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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”
0.900.90 == 9090 %%
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TRY THESE
0.560.56
0.3490.349
1.261.26
0.70.7
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HOW TO CHANGE PERCENT TO A FRACTION IN LOWEST
TERMS EXAMPLEEXAMPLE
3636 %% == 36100
÷2
÷2
==1850
÷2
÷2
==925
USE DIVISIBILITY RULES TO MAKE THIS USE DIVISIBILITY RULES TO MAKE THIS FASTERFASTER
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HOW TO CHANGE PERCENT TO A FRACTION IN LOWEST
TERMS EXAMPLEEXAMPLE
125125 == 125100
÷25
÷25
==54
== 1 14
Why do we say move the decimal two places to Why do we say move the decimal two places to the left?the left?
We are dividing by 100 because percent is We are dividing by 100 because percent is “out of 100”“out of 100”
%%
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HOW TO FIND THE PERCENT OF A NUMBER
EXAMPLEEXAMPLE
2525 %% OFOF 40401) Change Percent to a fraction and multiply1) Change Percent to a fraction and multiply
2525 %% == 14
x 4040 == 40 4
== 1010
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HOW TO FIND THE PERCENT OF A NUMBER
2) If both numbers end in 0, multiply the first digits 2) If both numbers end in 0, multiply the first digits togethertogether
2020 %% OFOF 6060
22 x 66 == 1212
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DETERMINE THE NUMBER
5050 %% OF A NUMBER ISOF A NUMBER IS 1010
__________ x 5050%% == 1010
12
1010 ÷ == ??211010 x == 2020
1010 ÷ 5050 == ??%%
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EXAMPLEEXAMPLE
6060 %% OF A NUMBER ISOF A NUMBER IS 4242
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WHAT “PERCENT OF”“PERCENT OF” QUESTIONS
WHAT PERCENT OF WHAT PERCENT OF 8080 ISIS 1616
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WHAT “PERCENT OF”“PERCENT OF” QUESTIONS
WHAT PERCENT OF WHAT PERCENT OF 8080 ISIS 1616x __________ == 16168080
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WHAT “PERCENT OF”“PERCENT OF” QUESTIONS
WHAT PERCENT OF WHAT PERCENT OF 8080 ISIS 1616
1680
== ??
x __________ == 16168080
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WHAT “PERCENT OF”“PERCENT OF” QUESTIONS
WHAT PERCENT OF WHAT PERCENT OF 8080 ISIS 1616x __________ == 16161680
== ??REDUCE TO REDUCE TO LOWEST LOWEST TERMSTERMS
8080
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WHAT “PERCENT OF”“PERCENT OF” QUESTIONS
WHAT PERCENT OF WHAT PERCENT OF 8080 ISIS 1616
0.20.2
x __________ == 16161680
== ??REDUCE TO REDUCE TO LOWEST LOWEST TERMSTERMS
210
==
8080
== 2020 %%
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Try this
Microwave costs $119.00
• Sale: 15% regular price
• Find the change in Price
• Find the sale Price
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Microwave costs $119.00Sale: 15% regular price
• Find the change in price
$119$119 x 0.150.15 == $17.48$17.48
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• Find the sale price
$119$119 x 0.150.15 == $17.85$17.85
$119$119 - $17.85$17.85 == $101.15$101.15
$119$119 x 0.850.85 == $101.15$101.15oror
Microwave costs $119.00Sale: 15% regular price
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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
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A Frisbee costs $5.98 after a 20% discount.
Find the original priceFind the original price
80%80%x__________ == $5.98$5.98
$5.98 0.8
== $7.48$7.48
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TRY THIS
DVD is regularly $130 is on sale for $89.
What was the discount ( in %)
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DVD is regularly $130 is on sale for $89.
What was the discount ( in %)
Original - New Original
$130 - $89 $130
== $41$130
== 31.531.5 %%
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