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PERCENT(%) Lesson 11

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**60 100 212 100 = 0.6 = 2.12 WHAT DOES PERCENT MEAN?**

Percent means “out of 100” EXAMPLE: 60 100 212 100 = 0.6 = 2.12

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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. 6 20 30 100 =

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TRY THESE x20 2 5 40 100 = x20 3 4 x25 75 100 = x25 6 15 40 100 2 5 ÷3 x20 = = ÷3 x20

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**HOW TO CHANGE A DECIMAL TO PERCENT**

Place Value 0.415 thousandths tenths hundredths EXAMPLE: x10 9 10 90 100 = 90 % 0.9 = = x10

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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” 0.90 = 90 %

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TRY THESE 0.7 0.56 0.349 1.26

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**HOW TO CHANGE PERCENT TO A FRACTION IN LOWEST TERMS**

EXAMPLE ÷2 9 25 ÷2 36 100 18 50 % 36 = = = ÷2 ÷2 USE DIVISIBILITY RULES TO MAKE THIS FASTER

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**HOW TO CHANGE PERCENT TO A FRACTION IN LOWEST TERMS**

EXAMPLE 1 4 ÷25 5 4 125 100 = 1 125 % = = ÷25 Why do we say move the decimal two places to the left? We are dividing by 100 because percent is “out of 100”

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**HOW TO FIND THE PERCENT OF A NUMBER**

EXAMPLE 25 % 40 OF 1) Change Percent to a fraction and multiply 1 4 40 4 40 10 25 % = x = =

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**HOW TO FIND THE PERCENT OF A NUMBER**

2) If both numbers end in 0, multiply the first digits together 20 % 60 OF 2 6 = 12 x

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**50 % 10 50 % = 10 10 50 = ? % 10 = ? 10 = 20 DETERMINE THE NUMBER x x**

OF A NUMBER IS _____ x 50 % = 10 10 ÷ 50 = ? % 1 2 10 ÷ = ? 2 1 10 x = 20

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EXAMPLE 60 % 42 OF A NUMBER IS

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**WHAT “PERCENT OF” QUESTIONS**

80 IS 16

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**WHAT “PERCENT OF” QUESTIONS**

80 IS 16 80 = 16 x _____

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**WHAT “PERCENT OF” QUESTIONS**

80 IS 16 x _____ = 16 80 16 80 = ?

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**WHAT “PERCENT OF” QUESTIONS**

80 IS 16 80 = 16 x _____ REDUCE TO LOWEST TERMS 16 80 ? =

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**WHAT “PERCENT OF” QUESTIONS**

80 IS 16 80 = 16 x _____ REDUCE TO LOWEST TERMS 16 80 ? = 2 10 = 0.2 20 % =

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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 $119.00 Sale: 15% regular price**

Find the change in price $119 x 0.15 = $17.48

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**Microwave costs $119.00 Sale: 15% regular price**

Find the sale price $119 x 0.15 = $17.85 $119 - $17.85 = $101.15 or $119 x 0.85 = $101.15

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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 price 80% x __________ = $5.98 $5.98 0.8 = $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 = = 31.5 %

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