Warm Up Evaluate. 1.2. 3.4.
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Transcript of Warm Up Evaluate. 1.2. 3.4.
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Relating Decimals, Fractions, and Percents6-1Warm UpEvaluate.
1. 2.
3. 4.
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14
215
315 –7
123
12
4 5
7 2
123 1
445214
5 or
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Relating Decimals, Fractions, and Percents6-1
Learn to compare and order decimals, fractions, and percents.
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Relating Decimals, Fractions, and Percents6-1
Percent: Ratio that compares a number to 100.
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Relating Decimals, Fractions, and Percents6-1
Fraction3/4
Decimal0.75
Percent75%
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.
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Relating Decimals, Fractions, and Percents6-1Change the fraction to a decimal:
1.
3.
5.
Continue…….
41 2.
4.
6.
65
131134
10987
623
325
0.25 0.83
5.67 3.33
87.9 34.85
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Relating Decimals, Fractions, and Percents6-1Change decimals to percents
Continue…….
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Relating Decimals, Fractions, and Percents6-1
Change percents to decimals.
Continue…….
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Relating Decimals, Fractions, and Percents6-1Change percents to fractions.
Continue…….
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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
110a: 10% = 10
100=
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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%
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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
5410
=
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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%
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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 = 2
3
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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 = 7
88751000=
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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 Percents6-1Check 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 = 1
81251000=
c
a b
e
d
50%12 %
f
g
38
25%12
58
75%
1
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Relating Decimals, Fractions, and Percents6-1Check 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
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Relating Decimals, Fractions, and Percents6-1Check It Out: Example 1 Continued
c: 0.375 =38
= 37 %12
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
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Relating Decimals, Fractions, and Percents6-1Check 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
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Relating Decimals, Fractions, and Percents6-1Check It Out: Example 1 Continued
e: 0.625 =58
= 62 %12
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
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Relating Decimals, Fractions, and Percents6-1Check 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
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Relating Decimals, Fractions, and Percents6-1Check 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
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Relating Decimals, Fractions, and Percents6-1Additional Example 2A: Comparing Fractions, Decimals,
and PercentsCompare. Write <, >, or =.
40%1414 = 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 Percents6-1Additional Example 2B: Comparing Fractions, Decimals,
and PercentsCompare. 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 Percents6-1Check It Out: Example 2A
Compare. Write <, >, or =.
65%3434 = 0.75 = 75%
75% > 65%
Write as a percent.
Compare.34 > 65%
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Relating Decimals, Fractions, and Percents6-1Check 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 Percents6-1Additional Example 3: Ordering Fractions, Decimals, and
PercentsWrite 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 Percents6-1Check 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.
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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 Percents6-1Lesson Quiz: Part I
Find each equivalent value.
1. as a percent2. 20% as a fraction3. 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 Percents6-1Lesson 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 Systems59
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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 Systems38
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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