converting repeating decimals to fractions take out a calculator!
DESCRIPTION
Repeating Decimal Patterns. CONVERTING REPEATING DECIMALS TO FRACTIONS Take out a calculator!. Decimal Patterns. Write each as a decimal. .1111 = .1. .142857. .2222 = .2. .285714. . 428571. .3333 = .3. .571428. .4444 = .4. .714285. .5555 = .5. 11 Pattern. 9 Pattern. - PowerPoint PPT PresentationTRANSCRIPT
![Page 1: CONVERTING REPEATING DECIMALS TO FRACTIONS Take out a calculator!](https://reader033.vdocuments.us/reader033/viewer/2022061513/56815c59550346895dca5c34/html5/thumbnails/1.jpg)
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CONVERTING REPEATING DECIMALS TO FRACTIONS
Take out a calculator!
![Page 2: CONVERTING REPEATING DECIMALS TO FRACTIONS Take out a calculator!](https://reader033.vdocuments.us/reader033/viewer/2022061513/56815c59550346895dca5c34/html5/thumbnails/2.jpg)
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1)72)7
a
b
3)74)75)76)77)7
c
d
e
f
g
1)92)93)94)95)96)97)9
a
b
c
d
e
f
g
1)112)
113)
114)
115)
116)
117)118)11
a
b
c
d
e
f
g
h
1
.09
.18
.27
.36
.45
.54
.63
.72
.142857
.285714
.428571
.571428
.714285
.857142
.1111 = .1
.2222 = .2
.3333 = .3
.4444 = .4
.5555 = .5
.6666 = .6
.7Rolling Pattern
13
23
9
Pattern11 Pattern
Write each as a decimal
![Page 3: CONVERTING REPEATING DECIMALS TO FRACTIONS Take out a calculator!](https://reader033.vdocuments.us/reader033/viewer/2022061513/56815c59550346895dca5c34/html5/thumbnails/3.jpg)
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19
0.1
29
0.2
39
0.3 13
110
0.1
210
0.2
Terminating
Terminating
310
0.3 Terminating
What do you notice about the repeating decimals compared to the terminating decimals?
Repeating
Repeating
Repeating
![Page 4: CONVERTING REPEATING DECIMALS TO FRACTIONS Take out a calculator!](https://reader033.vdocuments.us/reader033/viewer/2022061513/56815c59550346895dca5c34/html5/thumbnails/4.jpg)
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19
0.1
29
0.2
39
0.3 13
110
0.1
210
0.2
Terminating
Terminating
310
0.3 Terminating
Repeating
Repeating
Repeating
49 0.4
59 0.5
69
0.6 23
Writing Repeating Decimals as fractions can be a challenge. But following a pattern really helps!
![Page 5: CONVERTING REPEATING DECIMALS TO FRACTIONS Take out a calculator!](https://reader033.vdocuments.us/reader033/viewer/2022061513/56815c59550346895dca5c34/html5/thumbnails/5.jpg)
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1399
0.13
2499
0.24
3699
0.36
13100
0.13
24100
0.24
Terminating
Terminating
36100
0.36 Terminating
What do you notice about the repeating decimals compared to the terminating decimals?
Repeating
Repeating
Repeating
![Page 6: CONVERTING REPEATING DECIMALS TO FRACTIONS Take out a calculator!](https://reader033.vdocuments.us/reader033/viewer/2022061513/56815c59550346895dca5c34/html5/thumbnails/6.jpg)
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123999
0.123
21549999
0.2154
56
0.83
1231000
0.123
215410000
0.2154
Terminating
Terminating
83100
0.83 Terminating
Try these challenging ones!
Repeating
Repeating
RepeatingWhen one digit is terminating this can be a challenge!
![Page 7: CONVERTING REPEATING DECIMALS TO FRACTIONS Take out a calculator!](https://reader033.vdocuments.us/reader033/viewer/2022061513/56815c59550346895dca5c34/html5/thumbnails/7.jpg)
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THE END!Take out your
study guide
![Page 8: CONVERTING REPEATING DECIMALS TO FRACTIONS Take out a calculator!](https://reader033.vdocuments.us/reader033/viewer/2022061513/56815c59550346895dca5c34/html5/thumbnails/8.jpg)
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#5
one tenth0.1
19 0.1
110
one less than 10 repeating
22 hundredths0.22 22100
2299
0.22 one less than 100 repeating
three tenths0.3
39
0.3
310
one less than 10repeating
123 thousandths0.123 123
1000
123999
0.123 one less than 1000repeating3
3 13
![Page 9: CONVERTING REPEATING DECIMALS TO FRACTIONS Take out a calculator!](https://reader033.vdocuments.us/reader033/viewer/2022061513/56815c59550346895dca5c34/html5/thumbnails/9.jpg)
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12143413
=
=
=
=
50%
25%
75%
33.3%
=
=
=
=
66.6%
20%
40%
60%
23152535
#6
![Page 10: CONVERTING REPEATING DECIMALS TO FRACTIONS Take out a calculator!](https://reader033.vdocuments.us/reader033/viewer/2022061513/56815c59550346895dca5c34/html5/thumbnails/10.jpg)
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TEACHER NOTE: The following slides on memorize these
equivalents were used in Algebra Readiness but saved for later in Pre-Algebra for when you teach
Percents.
![Page 11: CONVERTING REPEATING DECIMALS TO FRACTIONS Take out a calculator!](https://reader033.vdocuments.us/reader033/viewer/2022061513/56815c59550346895dca5c34/html5/thumbnails/11.jpg)
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CONVERTING REPEATING DECIMALS TO FRACTIONS
andMEMORIZING
DECIMAL EQUIVALENTS
Take out a calculator!
![Page 12: CONVERTING REPEATING DECIMALS TO FRACTIONS Take out a calculator!](https://reader033.vdocuments.us/reader033/viewer/2022061513/56815c59550346895dca5c34/html5/thumbnails/12.jpg)
copyright©amberpasillas2010
1)72)7
a
b
3)74)75)76)77)7
c
d
e
f
g
1)92)93)94)95)96)97)9
a
b
c
d
e
f
g
1)112)
113)
114)
115)
116)
117)118)11
a
b
c
d
e
f
g
h
1
.09
.18
.27
.36
.45
.54
.63
.72
.142857
.285714
.428571
.571428
.714285
.857142
.1111 = .1
.2222 = .2
.3333 = .3
.4444 = .4
.5555 = .5
.6666 = .6
.7Rolling Pattern
13
23
9
Pattern11 Pattern
Write each as a decimal
![Page 13: CONVERTING REPEATING DECIMALS TO FRACTIONS Take out a calculator!](https://reader033.vdocuments.us/reader033/viewer/2022061513/56815c59550346895dca5c34/html5/thumbnails/13.jpg)
copyright©amberpasillas2010
19
0.1
29
0.2
39
0.3 13
110
0.1
210
0.2
Terminating
Terminating
310
0.3 Terminating
What do you notice about the repeating decimals compared to the terminating decimals?
Repeating
Repeating
Repeating
![Page 14: CONVERTING REPEATING DECIMALS TO FRACTIONS Take out a calculator!](https://reader033.vdocuments.us/reader033/viewer/2022061513/56815c59550346895dca5c34/html5/thumbnails/14.jpg)
copyright©amberpasillas2010
19
0.1
29
0.2
39
0.3 13
110
0.1
210
0.2
Terminating
Terminating
310
0.3 Terminating
Repeating
Repeating
Repeating
49 0.4
59 0.5
69
0.6 23
Writing Repeating Decimals as fractions can be a challenge. But following a pattern really helps!
![Page 15: CONVERTING REPEATING DECIMALS TO FRACTIONS Take out a calculator!](https://reader033.vdocuments.us/reader033/viewer/2022061513/56815c59550346895dca5c34/html5/thumbnails/15.jpg)
copyright©amberpasillas2010
1399
0.13
2499
0.24
3699
0.36
13100
0.13
24100
0.24
Terminating
Terminating
36100
0.36 Terminating
What do you notice about the repeating decimals compared to the terminating decimals?
Repeating
Repeating
Repeating
![Page 16: CONVERTING REPEATING DECIMALS TO FRACTIONS Take out a calculator!](https://reader033.vdocuments.us/reader033/viewer/2022061513/56815c59550346895dca5c34/html5/thumbnails/16.jpg)
copyright©amberpasillas2010
123999
0.123
21549999
0.2154
56
0.83
1231000
0.123
215410000
0.2154
Terminating
Terminating
83100
0.83 Terminating
Try these challenging ones!
Repeating
Repeating
RepeatingWhen one digit is terminating this can be a challenge!
![Page 17: CONVERTING REPEATING DECIMALS TO FRACTIONS Take out a calculator!](https://reader033.vdocuments.us/reader033/viewer/2022061513/56815c59550346895dca5c34/html5/thumbnails/17.jpg)
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2 = 50%1
![Page 18: CONVERTING REPEATING DECIMALS TO FRACTIONS Take out a calculator!](https://reader033.vdocuments.us/reader033/viewer/2022061513/56815c59550346895dca5c34/html5/thumbnails/18.jpg)
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4 = 25%1
![Page 19: CONVERTING REPEATING DECIMALS TO FRACTIONS Take out a calculator!](https://reader033.vdocuments.us/reader033/viewer/2022061513/56815c59550346895dca5c34/html5/thumbnails/19.jpg)
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4 = 75%3
![Page 20: CONVERTING REPEATING DECIMALS TO FRACTIONS Take out a calculator!](https://reader033.vdocuments.us/reader033/viewer/2022061513/56815c59550346895dca5c34/html5/thumbnails/20.jpg)
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3 =1 33.3%
![Page 21: CONVERTING REPEATING DECIMALS TO FRACTIONS Take out a calculator!](https://reader033.vdocuments.us/reader033/viewer/2022061513/56815c59550346895dca5c34/html5/thumbnails/21.jpg)
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3 =2 66.6%
![Page 22: CONVERTING REPEATING DECIMALS TO FRACTIONS Take out a calculator!](https://reader033.vdocuments.us/reader033/viewer/2022061513/56815c59550346895dca5c34/html5/thumbnails/22.jpg)
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5 =1 20%
![Page 23: CONVERTING REPEATING DECIMALS TO FRACTIONS Take out a calculator!](https://reader033.vdocuments.us/reader033/viewer/2022061513/56815c59550346895dca5c34/html5/thumbnails/23.jpg)
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5 =2 40%
![Page 24: CONVERTING REPEATING DECIMALS TO FRACTIONS Take out a calculator!](https://reader033.vdocuments.us/reader033/viewer/2022061513/56815c59550346895dca5c34/html5/thumbnails/24.jpg)
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5 =3 60%
![Page 25: CONVERTING REPEATING DECIMALS TO FRACTIONS Take out a calculator!](https://reader033.vdocuments.us/reader033/viewer/2022061513/56815c59550346895dca5c34/html5/thumbnails/25.jpg)
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5 =4 80%
![Page 26: CONVERTING REPEATING DECIMALS TO FRACTIONS Take out a calculator!](https://reader033.vdocuments.us/reader033/viewer/2022061513/56815c59550346895dca5c34/html5/thumbnails/26.jpg)
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THE END!Take out your
study guide