course 1 8-7 percents 6 th grade math homework page 420 #1-28 answers!
DESCRIPTION
Our Learning Goal for Chapter 8 Students will understand ratios, proportions, and percents by being able to write ratios, find unit rates, solve proportions, identify similar figures, find unknown measures, make scale drawings, understand relationships, and solve problems including those involving discounts, tips, sales tax, and simple interest.TRANSCRIPT
Course 1
8-7 Percents
6th Grade Math HOMEWORKPage 420
#1-28ANSWERS!
Course 1
8-8 Percents, Decimals, and Fractions6th Grade Math HOMEWORK
Page 424#1-26
Our Learning Goal for Chapter 8Students will understand ratios, proportions, and percents by being able to write ratios, find unit rates, solve proportions, identify similar figures, find unknown measures, make scale drawings, understand relationships, and solve problems including those involving discounts, tips, sales tax, and simple interest.
Our Learning Goal Assignments• Learn to write ratios and rates and to find unit rates (8-1)• Learn to write and solve proportions (8-2)• Learn to use proportions to make conversions within the
customary system (8-3)• Learn to use ratios to identify similar figures (8-4)• Learn to use proportions and similar figures to find unknown
measures (8-5)• Learn to read and use map scale and scale drawings (8-6)• Learn to write percents as decimals and as fractions (8-7)• Learn to write decimals and fractions as percents (8-8)• Learn to find the missing value in a percent problem (8-9)• Learn to solve percent problems that involve discounts, tips,
and sales tax (8-10)
8-8 Percents, Decimals, and Fractions
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Warm UpWarm Up
Lesson PresentationLesson PresentationProblem of the DayProblem of the Day
Warm UpWrite each percent as a fraction in simplest form.
1. 37% 2. 78%
Write each percent as a decimal.
3. 59% 4. 7%0.59 0.07
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8-8 Percents, Decimals, and Fractions
37100
___ 39 50
___
Problem of the DayJennifer gave Karen 50% of her comic books. Karen gave Jack 50% of the books she got from Jennifer. Jack gave Lucas 50% of the books he got from Karen. Lucas got 4 comic books. What percent of Jennifer’s comic books does Lucas have?12.5%
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8-8 Percents, Decimals, and Fractions
Today’s Learning Goal Assignment
Learn to write decimals and fractions as percents.
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8-8 Percents, Decimals, and Fractions
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8-8 Percents, Decimals, and FractionsAdditional Example 1A: Writing Decimals as
PercentsWrite each decimal as a percent.Method 1: Use place value.A. 0.7
Write the decimal as a fraction.
Write an equivalent fraction with 100 as the denominator.
0.7 = 710
__
7 • 1010 • 10
_______ = 70100
___
70100
___ = 70% Write the numerator with a percent symbol.
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8-8 Percents, Decimals, and FractionsTry This: Example 1A
Write each decimal as a percent.Method 1: Use place value.A. 0.9
Write the decimal as a fraction.
Write an equivalent fraction with 100 as the denominator.
0.9 = 910
__
9 • 1010 • 10
_______ = 90100
___
90100
___ = 90% Write the numerator with a percent symbol.
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8-8 Percents, Decimals, and FractionsAdditional Example 1B: Writing Decimals as
PercentsWrite each decimal as a percent.Method 1: Use place value.B. 0.16
Write the decimal as a fraction.0.16 = 16 100
__
16100
___ = 16% Write the numerator with a percent symbol.
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8-8 Percents, Decimals, and FractionsTry This: Example 1B
Write each decimal as a percent.Method 1: Use place value.B. 0.31
Write the decimal as a fraction.0.31 =
31100
___ = 31% Write the numerator with a percent symbol.
31100
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8-8 Percents, Decimals, and FractionsAdditional Example 1C: Writing Decimals as
PercentsWrite each decimal as a percent.Method 2: Multiply by 100.C. 0.4118
Multiply by 100.0.4118 • 10041.18% Add the percent symbol.
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8-8 Percents, Decimals, and FractionsTry This: Example 1C
Write each decimal as a percent.Method 2: Multiply by 100.C. 0.1225
Multiply by 100.0.1225 • 10012.25% Add the percent symbol.
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8-8 Percents, Decimals, and FractionsAdditional Example 1D: Writing Decimals as
PercentsWrite each decimal as a percent.Method 2: Multiply by 100.D. 0.067
Multiply by 100.0.067 • 1006.7% Add the percent symbol.
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8-8 Percents, Decimals, and FractionsTry This: Example 1D
Write each decimal as a percent.Method 2: Multiply by 100.D. 0.023
Multiply by 100.0.023 • 1002.3% Add the percent symbol.
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8-8 Percents, Decimals, and Fractions
When the denominator is a factor of 100, it is often easier to use method 1. When the denominator is not a factor of 100, it is usually easier to use method 2.
Helpful Hint
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8-8 Percents, Decimals, and FractionsAdditional Example 2A: Writing Fractions as
Percents
Write an equivalent fraction with 100 as the denominator.
9 • 425 • 4
______ = 36100
___
36100
___ = 36% Write the numerator with a percent symbol.
925
__
Write each fraction as a percent.Method 1: Write an equivalent fraction with a denominator of 100.A.
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8-8 Percents, Decimals, and FractionsTry This: Example 2A
Write each fraction as a percent.Method 1: Write an equivalent fraction with a denominator of 100.
A.
Write an equivalent fraction with 100 as the denominator.
7 • 250 • 2
______ = 14100
___
14100
___ = 14% Write the numerator with a percent symbol.
750
__
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8-8 Percents, Decimals, and FractionsAdditional Example 2B: Writing Fractions as
Percents
Divide the numerator by the denominator.
0.15 = 15% Multiply by 100 by moving the decimal point right two places. Add the percent symbol.
320
__
100
20 3.000.15
–20
–1000
Method 2: Use division to write the fraction as a decimal.B.
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8-8 Percents, Decimals, and FractionsTry This: Example 2B
Divide the numerator by the denominator.
0.16 = 16% Multiply by 100 by moving the decimal point right by two places. Add the percent symbol.
850
__
50 8.000.16
Method 2: Use division to write the fraction as a decimal.
B.
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8-8 Percents, Decimals, and FractionsAdditional Example 3: Application
One year, of people with home officeswere self-employed. What percent of people with home offices were self employed?
Write an equivalent fraction with a denominator of 100.
7 • 425 • 4
______ = 28100
___
28100
___ = 28%
725
__
725
__
28% of people with home offices were self-employed.
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8-8 Percents, Decimals, and FractionsTry This: Example 3
One year, of people who bought new cars bought cars that were yellow. What percent of people that bought new cars bought yellow cars?
Write an equivalent fraction with a denominator of 100.
3 • 250 • 2
______ = 6100 ___
6100
___ = 6%
350
__
350
__
6% of people with new cars bought yellow cars.
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8-8 Percents, Decimals, and Fractions
Lesson QuizWrite each decimal as a percent.
1. 0.26 2. 0.419
Write each fraction as a percent.
3. 4.
5. About of all the students at a local high
school own their own car. What percent is this?
41.9%26%
Insert Lesson Title Here
20% 56.25%
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8-8 Percents, Decimals, and Fractions
1 5
__ 916
__
116
__
6.25%