(7.1) number, operation, and quantitative reasoning
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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 PresentationTRANSCRIPT
(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
numerator denominator
decimal equivalent
= 0.___2 3
= 0.___ = 0.___ = 0.___ = 0.___67 125 8 25 63 5
2 8
4 5
1 8
23
230.0.6
-182
00
Top In Bottom Out
6
18
180.0.1
-82
002
-164
005
Top In Bottom Out
45
450.0.8
-400
Top In Bottom Out
28
280.0.2
-164
005
-40
Top In Bottom Out
35
350.0.6
-300
Top In Bottom Out
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
0 75. 10075
0 5. 105
0 4. 104
0 62. 1000625
5
0 37. 1000375
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%
multiply100 percent
0.6 = ___%66 0.35 = ___%35 0.25 = ___%25 0.625 = ____%62.5 0.80 = ___%80
066%
035%
025%
062 %5
080%
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 8
4 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%
3
Top In Bottom Out
34
340.0.7
-282
00075%
5
Top 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