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Warm Up

Problem of the Day

Lesson Presentation

- 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

How Did That Work?

- Let N
- Then 1000N 123.123123123
- We can subtract N from 1000N
- 999N 123, so

Place Value

- 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

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

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

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.

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.

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

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

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.

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.

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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

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

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

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

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.

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.

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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