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7.1B STUDENT ACTIVITY #1. (7.1) Number, operation, and quantitative reasoning. The student represents and uses rational numbers in a variety of equivalent forms. The student is expected to: - PowerPoint PPT Presentation
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(7.1) Number, operation, and quantitative reasoning.
The student represents and uses rational numbers in a variety of equivalent forms.
The student is expected to:(B) convert between fractions, decimals, whole numbers, and
percents mentally, on paper, or with a calculator.
7.1B STUDENT ACTIVITY #1
Part I: How do I convert ½ to a decimal?
Divide the ___________ by the ___________ . The quotient is ___________ . Therefore, ___________ is the decimal equivalent to
½.Write a decimal equivalent for the fraction in each box.
For each fraction converted to a decimal, divide the ___________ by the ___________ .
The quotient is the ___________ ___________ of the fraction.
numerator denominator
0.5
0.5
= 0.___ = 0.___ = 0.___ = 0.___3 5
2 8
4 5
1 8 = 0.___2
3
23
230.0.6
-182
00
Top In Bottom Out
6
Part I: How do I convert ½ to a decimal?
Divide the ___________ by the ___________ . The quotient is ___________ . Therefore, ___________ is the decimal equivalent to
½.Write a decimal equivalent for the fraction in each box.
For each fraction converted to a decimal, divide the ___________ by the ___________ .
The quotient is the ___________ ___________ of the fraction.
numerator denominator
0.5
0.5
= 0.___2 3 = 0.___ = 0.___ = 0.___67 3
52 8
4 5 = 0.___1
8
18
180.0.1
-82002
-164
005Top In Bottom Out
Part I: How do I convert ½ to a decimal?
Divide the ___________ by the ___________ . The quotient is ___________ . Therefore, ___________ is the decimal equivalent to
½.Write a decimal equivalent for the fraction in each box.
For each fraction converted to a decimal, divide the ___________ by the ___________ .
The quotient is the ___________ ___________ of the fraction.
numerator denominator
0.5
0.5
= 0.___2 3 = 0.___ = 0.___ = 0.___67 125 3
52 8
1 8 = 0.___4
5
45
450.0.8
-400
Top In Bottom Out
Part I: How do I convert ½ to a decimal?
Divide the ___________ by the ___________ . The quotient is ___________ . Therefore, ___________ is the decimal equivalent to
½.Write a decimal equivalent for the fraction in each box.
For each fraction converted to a decimal, divide the ___________ by the ___________ .
The quotient is the ___________ ___________ of the fraction.
numerator denominator
0.5
0.5
= 0.___2 3 = 0.___ = 0.___ = 0.___67 125 8 3
54 5
1 8 = 0.___2
8
28
280.0.2
-164
005
-40
Top In Bottom Out
Part I: How do I convert ½ to a decimal?
Divide the ___________ by the ___________ . The quotient is ___________ . Therefore, ___________ is the decimal equivalent to
½.Write a decimal equivalent for the fraction in each box.
For each fraction converted to a decimal, divide the ___________ by the ___________ .
The quotient is the ___________ ___________ of the fraction.
numerator denominator
0.5
0.5
= 0.___2 3 = 0.___ = 0.___ = 0.___67 125 8 252
84 5
1 8 = 0.___3
5
35
350.0.6
-300
Top In Bottom Out
Part I: How do I convert ½ to a decimal?
Divide the ___________ by the ___________ . The quotient is ___________ . Therefore, ___________ is the decimal equivalent to
½.Write a decimal equivalent for the fraction in each box.
For each fraction converted to a decimal, divide the ___________ by the ___________ .
The quotient is the ___________ ___________ of the fraction.
numerator denominator
0.5
0.5
numerator denominator
decimal equivalent
= 0.___2 3 = 0.___ = 0.___ = 0.___ = 0.___67 125 8 25 63
52 8
4 5
1 8
Part II: How do I convert 0.25 to a fraction?Use ________ as the denominator because it is the ________
________ of the digit farthest to the right of the ________ point.
Use ________ as the numerator because they are the ________ to the ________ of the ________ point.
Therefore, ___________ is the fraction equivalent to 0.25. Write a fraction equivalent for the decimal in each box.
For each decimal converted to a fraction, use the _________ _________ of the digit farthest to the right of the _________ _________ as the denominator. Then use the _________ to the right of the _________ _________ as the _________.
100 placevalue decimal
25 digitsright decimal
_25_100
0.75 = 0.5 = 0.4 = 0.625 = 0.375 =
0
ones
tent
hshu
ndre
dths
thou
sand
ths
.
75. 10075
Part II: How do I convert 0.25 to a fraction?Use ________ as the denominator because it is the ________
________ of the digit farthest to the right of the ________ point.
Use ________ as the numerator because they are the ________ to the ________ of the ________ point.
Therefore, ___________ is the fraction equivalent to 0.25. Write a fraction equivalent for the decimal in each box.
For each decimal converted to a fraction, use the _________ _________ of the digit farthest to the right of the _________ _________ as the denominator. Then use the _________ to the right of the _________ _________ as the _________.
100 placevalue decimal
25 digitsright decimal
_25_100
0.75 = 75100 0.5 = 0.4 = 0.625 = 0.375 =
0
ones
tent
hshu
ndre
dths
thou
sand
ths
.
5. 105
Part II: How do I convert 0.25 to a fraction?Use ________ as the denominator because it is the ________
________ of the digit farthest to the right of the ________ point.
Use ________ as the numerator because they are the ________ to the ________ of the ________ point.
Therefore, ___________ is the fraction equivalent to 0.25. Write a fraction equivalent for the decimal in each box.
For each decimal converted to a fraction, use the _________ _________ of the digit farthest to the right of the _________ _________ as the denominator. Then use the _________ to the right of the _________ _________ as the _________.
100 placevalue decimal
25 digitsright decimal
_25_100
0.75 = 75100 0.5 = 5
10 0.4 = 0.625 = 0.375 =
0
ones
tent
hshu
ndre
dths
thou
sand
ths
.
4. 104
Part II: How do I convert 0.25 to a fraction?Use ________ as the denominator because it is the ________
________ of the digit farthest to the right of the ________ point.
Use ________ as the numerator because they are the ________ to the ________ of the ________ point.
Therefore, ___________ is the fraction equivalent to 0.25. Write a fraction equivalent for the decimal in each box.
For each decimal converted to a fraction, use the _________ _________ of the digit farthest to the right of the _________ _________ as the denominator. Then use the _________ to the right of the _________ _________ as the _________.
100 placevalue decimal
25 digitsright decimal
_25_100
0.75 = 75100 0.5 = 5
10 0.4 = 0.625 = 0.375 = 410
0
ones
tent
hshu
ndre
dths
thou
sand
ths
.
62. 1000625
5
Part II: How do I convert 0.25 to a fraction?Use ________ as the denominator because it is the ________
________ of the digit farthest to the right of the ________ point.
Use ________ as the numerator because they are the ________ to the ________ of the ________ point.
Therefore, ___________ is the fraction equivalent to 0.25. Write a fraction equivalent for the decimal in each box.
For each decimal converted to a fraction, use the _________ _________ of the digit farthest to the right of the _________ _________ as the denominator. Then use the _________ to the right of the _________ _________ as the _________.
100 placevalue decimal
25 digitsright decimal
_25_100
0.75 = 75100 0.5 = 5
10 0.4 = 0.625 = 0.375 = 6251000
410
0
ones
tent
hshu
ndre
dths
thou
sand
ths
.
37. 1000375
5
Part II: How do I convert 0.25 to a fraction?Use ________ as the denominator because it is the ________
________ of the digit farthest to the right of the ________ point.
Use ________ as the numerator because they are the ________ to the ________ of the ________ point.
Therefore, ___________ is the fraction equivalent to 0.25. Write a fraction equivalent for the decimal in each box.
For each decimal converted to a fraction, use the _________ _________ of the digit farthest to the right of the _________ _________ as the denominator. Then use the _________ to the right of the _________ _________ as the _________.
100 placevalue decimal
25 digitsright decimal
_25_100
place valuedecimal point
digitsdecimal point numerator
0.75 = 75100 0.5 = 5
10 0.4 = 0.625 = 0.375 = 3751000
6251000
410
Part III: How do I convert 0.75 to a percent?
Move the ________ ________ two places to the ________.Put a ________ sign after the number to replace the ________
point.Therefore, ________ is the percent equivalent to 0.75.
Write a percent equivalent for the decimal in each box.
For each decimal converted to a percent, ________ the decimal by ________. Place a ________ sign after the product.
decimal point rightpercent decimal
75%
0.6 = ___%66 0.35 = ___%35 0.25 = ___%25 0.625 = ____% 0.80 = ___%
066%
Part III: How do I convert 0.75 to a percent?
Move the ________ ________ two places to the ________.Put a ________ sign after the number to replace the ________
point.Therefore, ________ is the percent equivalent to 0.75.
Write a percent equivalent for the decimal in each box.
For each decimal converted to a percent, ________ the decimal by ________. Place a ________ sign after the product.
decimal point rightpercent decimal
75%
0.6 = ___%66 0.35 = ___% 0.25 = ___% 0.625 = ____% 0.80 = ___%
035%
Part III: How do I convert 0.75 to a percent?
Move the ________ ________ two places to the ________.Put a ________ sign after the number to replace the ________
point.Therefore, ________ is the percent equivalent to 0.75.
Write a percent equivalent for the decimal in each box.
For each decimal converted to a percent, ________ the decimal by ________. Place a ________ sign after the product.
decimal point rightpercent decimal
75%
0.6 = ___%66 0.35 = ___%35 0.25 = ___% 0.625 = ____% 0.80 = ___%
025%
Part III: How do I convert 0.75 to a percent?
Move the ________ ________ two places to the ________.Put a ________ sign after the number to replace the ________
point.Therefore, ________ is the percent equivalent to 0.75.
Write a percent equivalent for the decimal in each box.
For each decimal converted to a percent, ________ the decimal by ________. Place a ________ sign after the product.
decimal point rightpercent decimal
75%
0.6 = ___%66 0.35 = ___%35 0.25 = ___%25 0.625 = ____% 0.80 = ___%
062 %5
Part III: How do I convert 0.75 to a percent?
Move the ________ ________ two places to the ________.Put a ________ sign after the number to replace the ________
point.Therefore, ________ is the percent equivalent to 0.75.
Write a percent equivalent for the decimal in each box.
For each decimal converted to a percent, ________ the decimal by ________. Place a ________ sign after the product.
decimal point rightpercent decimal
75%
0.6 = ___%66 0.35 = ___%35 0.25 = ___%25 0.625 = ____%62.5 0.80 = ___%
080%
Part III: How do I convert 0.75 to a percent?
Move the ________ ________ two places to the ________.Put a ________ sign after the number to replace the ________
point.Therefore, ________ is the percent equivalent to 0.75.
Write a percent equivalent for the decimal in each box.
For each decimal converted to a percent, ________ the decimal by ________. Place a ________ sign after the product.
decimal point rightpercent decimal
75%
multiply100 percent
0.6 = ___%66 0.35 = ___%35 0.25 = ___%25 0.625 = ____%62.5 0.80 = ___%80
Part IV: How do I convert ¾ to a percent?Convert the ________ to a ________.Divide the ________ by the __________. The quotient is ______.Therefore, ________ is the decimal equivalent to ¾.Then, convert the ________ to a ________.Move the ________ ________ two places to the ________.Put a ________ sign after the number. The decimal point can
be omitted if it is to the right of all the digits.Therefore, ________ is the percent equivalent to 0.75, and
therefore is the percent equivalent to the fraction ________.
Write a percent equivalent for the fraction in each box.
For each fraction converted to a percent, ________ the ________ by the __________.Convert the ________ to a percent by multiplying by ________ and writing a ________ sign after the product.
= ___%1 3 = ___% = ___% = ___% = ____%33 75 40 50 87.57
84 8
2 5
3 4
fraction decimalnumerator denominator 0.75
0.75decimal percent
decimal point rightpercent
75%¾
dividenumerator denominator
decimal100 percent
13
130.0.3
-91
00033%
3Top In Bottom Out
34
340.0.7
-282
00075%
5Top In Bottom Out
25
250.0.4
-200
040%
Top In Bottom Out
48
480.0.5
-400
050%
Top In Bottom Out
78
780.0.8
-646
00087 %
7
-56
0
4
05
5
Top In Bottom Out
Part V: How do I convert 6.75 to a percent?
Move the ________ ________ two places to the ________.Put a ________ sign after the number.Therefore, ________ is the percent equivalent to 6.75.
Write a percent equivalent for the mixed decimal in each box.
For each decimal I converted to a percent, I move the ________ ________ two places to the ________.Then I put a ________ sign after the number.If the decimal point is to the ________ of the digits, I do not have to write it in the percent number. ________ is the only one of these percents above that I must write the decimal point.
decimal point rightpercent
675%
3.35 = ___%335 12.08 = ____%1208 1.20 = ___%120 3.63 = ____%363 9.091 = _____%909.1
decimal point rightpercent
right909.1
335%
208%1
120%
363%
909 %1
(7.1) Number, operation, and quantitative reasoning.
The student represents and uses rational numbers in a variety of equivalent forms.
The student is expected to:(B) convert between fractions, decimals, whole numbers, and
percents mentally, on paper, or with a calculator.
7.1B STUDENT ACTIVITY #2
Part I: How do I convert 3.275 to a mixed fraction?
I use ________ as the ________ ________ part of the ________ because it is to the ________ of the ________ point.
I use ________ as the denominator because it is the ________ ________ of the digit farthest to the right of the ________ point.
I use ________ as the numerator because they are the ________ to the ________ of the ________ point.
Therefore, ________ is the mixed fraction equivalent to 3.275.
Write a mixed fraction equivalent for the decimal in each box.
For each decimal number I convert to a mixed number, I use the ________ ________ of the digit farthest to the right of the ________ ________ as the denominator. I then use the ________ to the right of the ________ ________ as the ________.Finally, I use any ________ to the left of the decimal point as the ________-number part of the ________ fraction.
21.5 = _____ 33.2 = _____ 8.75 = _____ 1.25 = _____ 87.4 = _____
3 whole number fractionleft decimal
1000 placevalue decimal
275 digitsright decimal
3 2751000
place valuedecimal point
digits decimal pointnumerator
digitswhole mixed
21 33 8 1 87510
210
75100
25100
410
21 5. 105on
este
nths
hund
redt
hsth
ousa
ndth
s
.tens
21
33 2. 102on
este
nths
hund
redt
hsth
ousa
ndth
s
.tens
33
8 75. 10075on
este
nths
hund
redt
hsth
ousa
ndth
s
.tens
8
1 25. 10025on
este
nths
hund
redt
hsth
ousa
ndth
s
.tens
1
87 4. 104on
este
nths
hund
redt
hsth
ousa
ndth
s
.tens
87
Part II: How do I convert 4.5% to a decimal?
Move the ________ ________ two places to the ________,Place a leading ________ before the number. Drop the
________ sign after the number.Therefore, ________ is the decimal equivalent to 4.5%.
Write a decimal equivalent for the percent in each box.
For each percent converted to a decimal, move the ________ ________ two places to the ________.Then drop the ________ sign after the number.
25% = _____ 3.7% = _____ 9% = _____ 32.8% = ______ 5.5% = _____
0.045
decimal point leftpercent
0.25 0.037 0.09 0.328 0.055
decimal point leftpercent
zero
025%
037%0
009%
328%0
055%0
Part III: How do I convert 75% to a fraction?
Express the ________ as a ________ with a denominator of ________.
Therefore, ________ is the fraction equivalent to 75%.
Write a percent equivalent for the decimal in each box.
For each percent converted to a fraction, express the percent as a fraction with a denominator of ________. Then simplify the fraction if needed.
20% = ____ 10% = ____ 45% = ____ 30% = ____ 25% = ____
percent fraction100 75
100
100
20100
10100
45100
30100
25100
20%100
10%100
45%100
30%100
25%100
Part IV: How do I convert 145 percent to a fraction?
Express the ________ as a ________ with a denominator of ________.
The percent is greater than ________%, so it may be expressed as a ________ fraction.
Therefore, ________ is the fraction equivalent to 145% and ________ is the ________ fraction equivalent of 145%.
Write a fraction or mixed fraction equivalent for the percent in each box.
For each percent converted to a fraction, express the ________ as a ________ with a denominator of ________.If the percent is greater than ________%, express the fraction equivalent as a ________ ________.
150% = 555% = 272% = 37.1% = 87.4% =
percent fraction100
100mixed
145100
145
100 mixed
percent fraction100
100mixed fraction
50100
55100
72100
87.4100
37.11001 5 2
50%10011
55%10055
72%10022
37.2%100
1%10
3737 .on
este
nths
hund
redt
hsth
ousa
ndth
s
.tens
87.4%100
4%10
8787 .on
este
nths
hund
redt
hsth
ousa
ndth
s
.tens
Part V: Simeon answered 21 out of 25 questions correctly on his quiz. What percent of the quiz questions did he
answer correctly?
The fraction of questions Simeon answered correctly is
Convert the decimal to a percent by moving the decimal point _____ places to the _____.The decimal _____ is equivalent to _____ %.Simeon answered _____ % of the quiz questions correctly.
2125
Convert this fraction to a decimal by dividing _____ by _____.
21 25
The fraction is equivalent to the decimal ______.2125
0.84
2125 .08
-20010
0
0
4
-1000
two right0.84 84
84
0.
Part V: At a school football game 45% of the people watching the game were
middle school students. What fraction of the people watching the game were
middle school students?
Convert ________ to a decimal. Move the decimal point _____ places to the _____.
Of the people watching the game, were middle school students.
______% = ______
Rewrite the decimal 0.45 as a fraction.
Simplify the fraction.
percent twoleft
45 0.45
.45 =10045
10045
209=
209