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 %%