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January 25, 2012Learn to write decimals and fractions as a percent
EQ: Can you find the two methods you
use to write ¾ as a percent!
Homework pg. 335 #12-26
http://new.schoolnotes.com/Course 2
6-2 Fractions, Decimals, and Percents
6-2 Fractions, Decimals, and Percents
Course 2
Warm UpWarm Up
Problem of the DayProblem of the Day
Lesson PresentationLesson Presentation
Write each fraction in the simplest form
Course 2
6-2 Fractions, Decimals, and Percents
1. 410
850
2.
3. 75100
4. 1236
5. 6. 1848
25
34
13
35
38
425
915
Warm-up page 327 #13-20
Course 2
6-2 Fractions, Decimals, and PercentsGrade HW
Vocabulary –a.decimalb.fractionc. percent
d.ratioe.simplest form
Power Point Lesson 6:2 KIN Page 145-146
Course 2
6-2 Fractions, Decimals, and Percents
0 200 400 600 800 1,000 1,200 1,400 1,600 1,800 2,000
0 15
25
35
45
55
00 0.2 0.4 0.6 0.8 1.0
0 20% 40% 60% 80% 100%
The model shows that 800 out of 2,000 can be written as , ,
0.4, or 40%. The students have reached 40% of their goal.
8002000
25
Write 0.7 as a percent.
Additional Example 1: Writing Decimals as Percents
Course 2
6-2 Fractions, Decimals, and Percents
Method 1: Use pencil and paper.
0.7 = 70100
= 70%
Write the decimal as a fraction with a denominator of 100.
Write the numerator with a percent sign.
710
=
Write 0.7 as a percent.
Additional Example 1 Continued
Course 2
6-2 Fractions, Decimals, and Percents
Method 2: Use mental math.
0.70 =
= 70%
Move the decimal point two places to the right and add a percent sign.
70%
Write 0.3 as a percent.
Check It Out: Example 1
Course 2
6-2 Fractions, Decimals, and Percents
Method 1: Use pencil and paper.
0.3 = 30100
= 30%
Write the decimal as a fraction with a denominator of 100.
Write the numerator with a percent sign.
310
=
Write 0.9 as a percent.
Check It Out: Example 1 Continued
Course 2
6-2 Fractions, Decimals, and Percents
Method 2: Use mental math.
0.90 =
= 90%
Move the decimal point two places to the right and add a percent sign.
90%
Course 2
6-2 Fractions, Decimals, and Percents
Write as a percent.58
58
= 5 ÷ 8
= .625
= 62.5%
Use division to write the fraction as a decimal.
Write the decimal as a percent.
Additional Example 2: Writing Fractions as Decimals
Method 1: Use pencil and paper.
To divide 5 by 8, use long division and place a decimal point followed by a zero after the 5.
8 5.00
Remember!
.625
Course 2
6-2 Fractions, Decimals, and Percents
5 ● 12.5 8 ● 12.5
Write an equivalent fraction with a denominator of 100.
=
Write as a percent.58
Additional Example 2 Continued
Method 2: Use mental math.
62.5 100
Write the numerator with a percent sign.= 62.5%
Course 2
6-2 Fractions, Decimals, and Percents
Write as a percent.35
35
= 3 ÷ 5
= 0.60
= 60%
Use division to write the fraction as a decimal.
Write the decimal as a percent.
Check It Out: Example 2
Method 1: Use pencil and paper.
Course 2
6-2 Fractions, Decimals, and Percents
3 • 20 5 • 20
Write an equivalent fraction with a denominator of 100.
=
Write as a percent.35
Check It Out: Example 2 Continued
Method 2: Use mental math.
60 100
Write the numerator with a percent sign.= 60%
Course 2
6-2 Fractions, Decimals, and Percents
Choose the most useful method of computation. Then solve.
27 out of 50 =
Using pencil and paper is the best method.
Think: 27 ÷ 50 divides evenly.
Write the decimal as a percent.
Additional Example 3: Choosing a Method of Computation
If 27 out of 50 people have the newspaper delivered to their home, what percent of these people have the newspaper delivered to their home?
2750
= 0.54
= 54%
54% of the people have the newspaper delivered to their home.
Course 2
6-2 Fractions, Decimals, and Percents
Choose a useful method of computation. Then solve.
10 out of 50 =
Mental math or pencil and paper is the best method.
Think: The denominator is a multiple of 100.
Write the decimal as a percent.
Check It Out: Example 3
If 10 out of 50 students have blue backpacks, what percent of the students have blue backpacks?
1050
= 0.20
= 20%
20% of the students have blue backpacks.
20100
=
Lesson Quiz
Insert Lesson Title Here
60%
Course 2
6-2 Fractions, Decimals, and Percents
1. Write 0.65 as a percent.
2. Write as a percent. 610
Choose the most useful method of computation. Then solve.
65%
Calculator; 45%
3. If 36 out of 80 people surveyed have been on a boat, what percent of these people have been on a boat?