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## Warm Up

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### 7-8 Warm Up Problem of the Day Lesson Presentation Course 1 Percents, Decimals, and Fractions How Did That Work? Let N = Then 1000N = 123.123123123 – PowerPoint PPT presentation

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Title: Warm Up

1
Warm Up
Problem of the Day
Lesson Presentation
2
• Repeating Decimals as Fractions
• Note how many digits are being repeated.
• Place that amount of 9s in the denominator.
• Write the repeated digit(s) as the numerator.
• Examples

3
How Did That Work?
• Let N
• Then 1000N 123.123123123
• We can subtract N from 1000N
• 999N 123, so

4
Place Value
5
• To change a decimal into a percent, multiply the
decimal by 100.
• Remember that percent is based on 100. A whole is
100.
• Examples
• 0.7 0.7x100 70 (the decimal moved 2
spaces to the right)
• 0.07 0.07x100 7

6
Additional Example 1A Writing Decimals as
Percents Write the decimal as a percent. Method
1 Use place value. 0.7
Write the decimal as a fraction.
0.7
Write an equivalent fraction with 100 as the
denominator.

Write the numerator with a percent symbol.
70
7
Additional Example 1B Writing Decimals as
Percents Write the decimal as a percent. Method
1 Use place value. 0.16
Write the decimal as a fraction.
0.16
Write the numerator with a percent symbol.
16
8
Additional Example 1C Writing Decimals as
Percents Write the decimal as a percent. Method
2 Multiply by 100. 0.4118
Multiply by 100.
0.4118 100
41.18
Add the percent symbol.
9
Additional Example 1D Writing Decimals as
Percents Write the decimal as a percent. Method
2 Multiply by 100. 0.067
Multiply by 100.
0.067 100
6.7
Add the percent symbol.
10
Check It Out Example 1A Write the decimal as a
percent. Method 1 Use place value. 0.9
Write the decimal as a fraction.
0.9
Write an equivalent fraction with 100 as the
denominator.

Write the numerator with a percent symbol.
90
11
Check It Out Example 1B Write the decimal as a
percent. Method 1 Use place value. 0.31
Write the decimal as a fraction.
0.31
Write the numerator with a percent symbol.
31
12
Check It Out Example 1C Write the decimal as a
percent. Method 2 Multiply by 100. 0.1225
Multiply by 100.
0.1225 100
12.25
Add the percent symbol.
13
Check It Out Example 1D Write the decimal as a
percent. Method 2 Multiply by 100. 0.023
Multiply by 100.
0.023 100
2.3
Add the percent symbol.
14
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15
Additional Example 2A Writing Fractions as
Percents
Write the fraction as a percent. Method 1 Write
an equivalent fraction with a denominator of 100.
Write an equivalent fraction with 100 as the
denominator.

Write the numerator with a percent symbol.
36
16
Additional Example 2B Writing Fractions as
Percents
Method 2 Use division to write the fraction as a
decimal.
Divide the numerator by the denominator.
Multiply by 100 by moving the decimal point right
two places. Add the percent symbol.
0.15 15
17
Check It Out Example 2A Write the fraction as a
percent. Method 1 Write an equivalent fraction
with a denominator of 100.
Write an equivalent fraction with 100 as the
denominator.

Write the numerator with a percent symbol.
14
18
Check It Out Example 2B
Method 2 Use division to write the fraction as a
decimal.
Divide the numerator by the denominator.
Multiply by 100 by moving the decimal point right
by two places. Add the percent symbol.
0.16 16
19
Additional Example 3 Application One year,
of people with home offices were self-employed.
What percent of people with home offices were
self employed?
Write an equivalent fraction with a denominator
of 100.

28
28 of people with home offices were
self-employed.
20
Check It Out 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.

6
6 of people with new cars bought yellow cars.
21
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22
Lesson Quiz
Write 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
56.25
20
6.25
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