relating decimals, fractions, and percents 6-1 warm up evaluate. 1.2. 3.4. 1 3 1 3 + 14 2 15 3 – 7...
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![Page 1: Relating Decimals, Fractions, and Percents 6-1 Warm Up Evaluate. 1.2. 3.4. 1 3 1 3 + 14 2 15 3 – 7 12 3 4 5 7 2 1 2 3 1 4 4 5 2 14 5 or](https://reader036.vdocuments.us/reader036/viewer/2022081515/56649e7b5503460f94b7b944/html5/thumbnails/1.jpg)
Relating Decimals, Fractions, and Percents6-1
Warm UpEvaluate.
1. 2.
3. 4.
13
1
3+
14
215
315
–7
123
12
4 5
7 2
123 1
44
5214
5or
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Relating Decimals, Fractions, and Percents6-1
Learn to compare and order decimals, fractions, and percents.
![Page 3: Relating Decimals, Fractions, and Percents 6-1 Warm Up Evaluate. 1.2. 3.4. 1 3 1 3 + 14 2 15 3 – 7 12 3 4 5 7 2 1 2 3 1 4 4 5 2 14 5 or](https://reader036.vdocuments.us/reader036/viewer/2022081515/56649e7b5503460f94b7b944/html5/thumbnails/3.jpg)
Relating Decimals, Fractions, and Percents6-1
Percent: Ratio that compares a number to 100.
![Page 4: Relating Decimals, Fractions, and Percents 6-1 Warm Up Evaluate. 1.2. 3.4. 1 3 1 3 + 14 2 15 3 – 7 12 3 4 5 7 2 1 2 3 1 4 4 5 2 14 5 or](https://reader036.vdocuments.us/reader036/viewer/2022081515/56649e7b5503460f94b7b944/html5/thumbnails/4.jpg)
Relating Decimals, Fractions, and Percents6-1
Fraction
3/4
Decimal
0.75
Percent
75%
Read It (3 ÷ 4)
Write It 4 3Solve It .75
Move the decimal 2 times to the left.
Move the decimal 2 times to the right.
Write the percent as a fraction over 100. Then simplify.
![Page 5: Relating Decimals, Fractions, and Percents 6-1 Warm Up Evaluate. 1.2. 3.4. 1 3 1 3 + 14 2 15 3 – 7 12 3 4 5 7 2 1 2 3 1 4 4 5 2 14 5 or](https://reader036.vdocuments.us/reader036/viewer/2022081515/56649e7b5503460f94b7b944/html5/thumbnails/5.jpg)
Relating Decimals, Fractions, and Percents6-1
Change the fraction to a decimal:
1.
3.
5.
Continue…….
4
1 2.
4.
6.
6
5
13
1134
10
987
6
23
3
25
0.25 0.83
5.67 3.33
87.9 34.85
![Page 6: Relating Decimals, Fractions, and Percents 6-1 Warm Up Evaluate. 1.2. 3.4. 1 3 1 3 + 14 2 15 3 – 7 12 3 4 5 7 2 1 2 3 1 4 4 5 2 14 5 or](https://reader036.vdocuments.us/reader036/viewer/2022081515/56649e7b5503460f94b7b944/html5/thumbnails/6.jpg)
Relating Decimals, Fractions, and Percents6-1
Change decimals to percents
Continue…….
![Page 7: Relating Decimals, Fractions, and Percents 6-1 Warm Up Evaluate. 1.2. 3.4. 1 3 1 3 + 14 2 15 3 – 7 12 3 4 5 7 2 1 2 3 1 4 4 5 2 14 5 or](https://reader036.vdocuments.us/reader036/viewer/2022081515/56649e7b5503460f94b7b944/html5/thumbnails/7.jpg)
Relating Decimals, Fractions, and Percents6-1
Change percents to decimals.
Continue…….
![Page 8: Relating Decimals, Fractions, and Percents 6-1 Warm Up Evaluate. 1.2. 3.4. 1 3 1 3 + 14 2 15 3 – 7 12 3 4 5 7 2 1 2 3 1 4 4 5 2 14 5 or](https://reader036.vdocuments.us/reader036/viewer/2022081515/56649e7b5503460f94b7b944/html5/thumbnails/8.jpg)
Relating Decimals, Fractions, and Percents6-1
Change percents to fractions.
Continue…….
![Page 9: Relating Decimals, Fractions, and Percents 6-1 Warm Up Evaluate. 1.2. 3.4. 1 3 1 3 + 14 2 15 3 – 7 12 3 4 5 7 2 1 2 3 1 4 4 5 2 14 5 or](https://reader036.vdocuments.us/reader036/viewer/2022081515/56649e7b5503460f94b7b944/html5/thumbnails/9.jpg)
Relating Decimals, Fractions, and Percents6-1
Find the missing ratio or percent equivalent for each letter a–g on the number line.
Additional Example 1: Finding Equivalent Ratios and Percents
1
10a: 10% =
10100
=
![Page 10: Relating Decimals, Fractions, and Percents 6-1 Warm Up Evaluate. 1.2. 3.4. 1 3 1 3 + 14 2 15 3 – 7 12 3 4 5 7 2 1 2 3 1 4 4 5 2 14 5 or](https://reader036.vdocuments.us/reader036/viewer/2022081515/56649e7b5503460f94b7b944/html5/thumbnails/10.jpg)
Relating Decimals, Fractions, and Percents6-1
Find the missing ratio or percent equivalent for each letter a–g on the number line.
Additional Example 1 Continued
b: 0.25 =14
= 25%
![Page 11: Relating Decimals, Fractions, and Percents 6-1 Warm Up Evaluate. 1.2. 3.4. 1 3 1 3 + 14 2 15 3 – 7 12 3 4 5 7 2 1 2 3 1 4 4 5 2 14 5 or](https://reader036.vdocuments.us/reader036/viewer/2022081515/56649e7b5503460f94b7b944/html5/thumbnails/11.jpg)
Relating Decimals, Fractions, and Percents6-1
Find the missing ratio or percent equivalent for each letter a–g on the number line.
Additional Example 1 Continued
c: 40% =40100
=2
5
4
10=
![Page 12: Relating Decimals, Fractions, and Percents 6-1 Warm Up Evaluate. 1.2. 3.4. 1 3 1 3 + 14 2 15 3 – 7 12 3 4 5 7 2 1 2 3 1 4 4 5 2 14 5 or](https://reader036.vdocuments.us/reader036/viewer/2022081515/56649e7b5503460f94b7b944/html5/thumbnails/12.jpg)
Relating Decimals, Fractions, and Percents6-1
Find the missing ratio or percent equivalent for each letter a–g on the number line.
Additional Example 1 Continued
d: 0.60 =35
= 60%
![Page 13: Relating Decimals, Fractions, and Percents 6-1 Warm Up Evaluate. 1.2. 3.4. 1 3 1 3 + 14 2 15 3 – 7 12 3 4 5 7 2 1 2 3 1 4 4 5 2 14 5 or](https://reader036.vdocuments.us/reader036/viewer/2022081515/56649e7b5503460f94b7b944/html5/thumbnails/13.jpg)
Relating Decimals, Fractions, and Percents6-1
Find the missing ratio or percent equivalent for each letter a–g on the number line.
Additional Example 1 Continued
e: 23
% =66 0.666 = 23
![Page 14: Relating Decimals, Fractions, and Percents 6-1 Warm Up Evaluate. 1.2. 3.4. 1 3 1 3 + 14 2 15 3 – 7 12 3 4 5 7 2 1 2 3 1 4 4 5 2 14 5 or](https://reader036.vdocuments.us/reader036/viewer/2022081515/56649e7b5503460f94b7b944/html5/thumbnails/14.jpg)
Relating Decimals, Fractions, and Percents6-1
Find the missing ratio or percent equivalent for each letter a–g on the number line.
Additional Example 1 Continued
f: 12
% =87 0.875 = 78
8751000
=
![Page 15: Relating Decimals, Fractions, and Percents 6-1 Warm Up Evaluate. 1.2. 3.4. 1 3 1 3 + 14 2 15 3 – 7 12 3 4 5 7 2 1 2 3 1 4 4 5 2 14 5 or](https://reader036.vdocuments.us/reader036/viewer/2022081515/56649e7b5503460f94b7b944/html5/thumbnails/15.jpg)
Relating Decimals, Fractions, and Percents6-1
Find the missing ratio or percent equivalent for each letter a–g on the number line.
Additional Example 1 Continued
g: 125% =125 100
=5
4=
1
41
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Relating Decimals, Fractions, and Percents6-1
Check It Out: Example 1
Find the missing ratio or percent equivalent for each letter a–g on the number line.
a: 12
% =12 0.125 = 18
1251000
=
c
a b
e
d
50%12 %
f
g
38
25%12
58
75%
1
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Relating Decimals, Fractions, and Percents6-1
Check It Out: Example 1 Continued
b: 25% =25100
=1
4
Find the missing ratio or percent equivalent for each letter a–g on the number line.
c
a b
e
d
50%12 %
f
g
38
25%12
58
75%
1
![Page 18: Relating Decimals, Fractions, and Percents 6-1 Warm Up Evaluate. 1.2. 3.4. 1 3 1 3 + 14 2 15 3 – 7 12 3 4 5 7 2 1 2 3 1 4 4 5 2 14 5 or](https://reader036.vdocuments.us/reader036/viewer/2022081515/56649e7b5503460f94b7b944/html5/thumbnails/18.jpg)
Relating Decimals, Fractions, and Percents6-1
Check It Out: Example 1 Continued
c: 0.375 =38
= 37 %1
2
Find the missing ratio or percent equivalent for each letter a–g on the number line.
c
a b
e
d
50%12 %
f
g
38
25%12
58
75%
1
![Page 19: Relating Decimals, Fractions, and Percents 6-1 Warm Up Evaluate. 1.2. 3.4. 1 3 1 3 + 14 2 15 3 – 7 12 3 4 5 7 2 1 2 3 1 4 4 5 2 14 5 or](https://reader036.vdocuments.us/reader036/viewer/2022081515/56649e7b5503460f94b7b944/html5/thumbnails/19.jpg)
Relating Decimals, Fractions, and Percents6-1
Check It Out: Example 1 Continued
d: 50% =50100
=1
2
Find the missing ratio or percent equivalent for each letter a–g on the number line.
c
a b
e
d
50%12 %
f
g
38
25%12
58
75%
1
![Page 20: Relating Decimals, Fractions, and Percents 6-1 Warm Up Evaluate. 1.2. 3.4. 1 3 1 3 + 14 2 15 3 – 7 12 3 4 5 7 2 1 2 3 1 4 4 5 2 14 5 or](https://reader036.vdocuments.us/reader036/viewer/2022081515/56649e7b5503460f94b7b944/html5/thumbnails/20.jpg)
Relating Decimals, Fractions, and Percents6-1
Check It Out: Example 1 Continued
e: 0.625 =58
= 62 %1
2
Find the missing ratio or percent equivalent for each letter a–g on the number line.
c
a b
e
d
50%12 %
f
g
38
25%12
58
75%
1
![Page 21: Relating Decimals, Fractions, and Percents 6-1 Warm Up Evaluate. 1.2. 3.4. 1 3 1 3 + 14 2 15 3 – 7 12 3 4 5 7 2 1 2 3 1 4 4 5 2 14 5 or](https://reader036.vdocuments.us/reader036/viewer/2022081515/56649e7b5503460f94b7b944/html5/thumbnails/21.jpg)
Relating Decimals, Fractions, and Percents6-1
Check It Out: Example 1 Continued
f: 75% =75100
=3
4
Find the missing ratio or percent equivalent for each letter a–g on the number line.
c
a b
e
d
50%12 %
f
g
38
25%12
58
75%
1
![Page 22: Relating Decimals, Fractions, and Percents 6-1 Warm Up Evaluate. 1.2. 3.4. 1 3 1 3 + 14 2 15 3 – 7 12 3 4 5 7 2 1 2 3 1 4 4 5 2 14 5 or](https://reader036.vdocuments.us/reader036/viewer/2022081515/56649e7b5503460f94b7b944/html5/thumbnails/22.jpg)
Relating Decimals, Fractions, and Percents6-1
Check It Out: Example 1 Continued
g: 1 =100 100
= 100%
Find the missing ratio or percent equivalent for each letter a–g on the number line.
c
a b
e
d
50%12 %
f
g
38
25%12
58
75%
1
![Page 23: Relating Decimals, Fractions, and Percents 6-1 Warm Up Evaluate. 1.2. 3.4. 1 3 1 3 + 14 2 15 3 – 7 12 3 4 5 7 2 1 2 3 1 4 4 5 2 14 5 or](https://reader036.vdocuments.us/reader036/viewer/2022081515/56649e7b5503460f94b7b944/html5/thumbnails/23.jpg)
Relating Decimals, Fractions, and Percents6-1
Additional Example 2A: Comparing Fractions, Decimals, and Percents
Compare. Write <, >, or =.
40%14
14
= 0.25 = 25%
25% < 40%
Write as a percent.
Compare.
14
< 40%
When multiplying a decimal by 100, simply move the decimal point two spaces to the right.
Remember!
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Relating Decimals, Fractions, and Percents6-1
Additional Example 2B: Comparing Fractions, Decimals, and Percents
Compare. Write <, >, or =.
0.893 50%
0.893 = 89.3%
89.3% > 50%
Write as a percent.
Compare.
0.893 > 50%
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Relating Decimals, Fractions, and Percents6-1
Check It Out: Example 2A
Compare. Write <, >, or =.
65%34
34
= 0.75 = 75%
75% > 65%
Write as a percent.
Compare.
34
> 65%
![Page 26: Relating Decimals, Fractions, and Percents 6-1 Warm Up Evaluate. 1.2. 3.4. 1 3 1 3 + 14 2 15 3 – 7 12 3 4 5 7 2 1 2 3 1 4 4 5 2 14 5 or](https://reader036.vdocuments.us/reader036/viewer/2022081515/56649e7b5503460f94b7b944/html5/thumbnails/26.jpg)
Relating Decimals, Fractions, and Percents6-1
Check It Out: Example 2B
Compare. Write <, >, or =.
0.136 20%
0.136 = 13.6%
13.6% < 20%
Write as a percent.
Compare.
0.136 < 20%
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Relating Decimals, Fractions, and Percents6-1
Additional Example 3: Ordering Fractions, Decimals, and Percents
Write 0.075%, , 0.41, and 100% in order
from least to greatest.
34
34
= 0.75 = 75%
0.41 = 41%
Write as percents.
Compare.
34
0.075% < 41% < 75% < 100%
0.075%, 0.41, , 100%
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Relating Decimals, Fractions, and Percents6-1
Check It Out: Example 3
Write 35%, 0.25, , and 200% in order
from least to greatest.
12
12
= 0.50 = 50%
0.25 = 25%
Write as percents.
Compare.
12
25% < 35% < 50% < 200%
0.25, 35%, , 200%
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Relating Decimals, Fractions, and Percents6-1
Gold that is 24 karat is 100% pure gold. Gold that is 14 karat is 14 parts pure gold and 10 parts another metal, such as copper, zinc, silver, or nickel. What percent of 14 karat gold is pure gold?
Additional Example 4: Physical Science Application
Set up a ratio and reduce.
parts pure goldtotal parts
1424
712
=
712
= 7 12 = Find the percent.0.583 = 58.3%
13So 14-karat gold is 58.3%, or 58 % pure
gold.
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Relating Decimals, Fractions, and Percents6-1
A baker’s dozen is 13. When a shopper purchases a dozen items at the bakery they get 12. It is said that the baker eats 1 item from every batch. What percent of the food does the baker eat?
Check It Out: Example 4
Set up a ratio and reduce.
items eatentotal items
113
113
= 1 13 Find the percent.0.077 7.7%
The baker eats about 7.7% of the items they bake.
![Page 31: Relating Decimals, Fractions, and Percents 6-1 Warm Up Evaluate. 1.2. 3.4. 1 3 1 3 + 14 2 15 3 – 7 12 3 4 5 7 2 1 2 3 1 4 4 5 2 14 5 or](https://reader036.vdocuments.us/reader036/viewer/2022081515/56649e7b5503460f94b7b944/html5/thumbnails/31.jpg)
Relating Decimals, Fractions, and Percents6-1
Standard Lesson Quiz
Lesson Quizzes
Lesson Quiz for Student Response Systems
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Relating Decimals, Fractions, and Percents6-1
Lesson Quiz: Part I
Find each equivalent value.
1. as a percent
2. 20% as a fraction
3. as a decimal
Compare. Write <, >, or =.
4. 30%
5. 0.650 97% <
37.5%
0.625
>
38
711
15
58
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Relating Decimals, Fractions, and Percents6-1
Lesson Quiz: Part II
6. Write 245%, , 0.133, and 66.6% in order
from least to greatest.
5. About 342,000 km2 of Greenland’s total area (2,175,000 km2) is not covered with ice. To the nearest percent, what percent of Greenland’s total area is not covered with ice?
16%
0.133, , 66.6%, 245%
15
15
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Relating Decimals, Fractions, and Percents6-1
1. Identify the equivalent value of as a percent.
A. 45.3%
B. 55.5%
C. 78.3%
D. 86.5%
Lesson Quiz for Student Response Systems
59
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Relating Decimals, Fractions, and Percents6-1
2. Identify the equivalent value of 45% as a fraction.
A.
B.
C.
D.
Lesson Quiz for Student Response Systems
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Relating Decimals, Fractions, and Percents6-1
3. Identify the equivalent value of as a decimal.
A. 0.252
B. 0.375
C. 0.456
D. 0.698
Lesson Quiz for Student Response Systems
38
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Relating Decimals, Fractions, and Percents6-1
4. Identify the correct symbol to compare.0.430___50%
A. >
B. <
C. =
D. >
Lesson Quiz for Student Response Systems