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What can the maximum number of digits be in the repeating block of digits in the decimal expansion of 1_17 ? Perform the division to check your answer.?
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What can the maximum number of digits be in the repeating block of dig...
Maximum number of digits in the repeating block of digits in the decimal expansion of 1/17
Here, we are looking to find the maximum number of digits in the repeating block of digits in the decimal expansion of the fraction 1/17.
Performing the division
To find the decimal expansion of 1/17, we perform long division as follows:
```
0.0588235294117647...
```
From the above division, we can see that the repeating block of digits in the decimal expansion of 1/17 is "0588235294".
Explanation
When we divide 1 by 17, we get a repeating decimal where the repeating block of digits starts from the first non-zero digit after the decimal point. In this case, the repeating block is "0588235294".
To find the maximum number of digits in the repeating block, we can observe that the repeating block will have a maximum length of 16 digits, which is the number of digits in the denominator (17) minus 1.
Therefore, the maximum number of digits in the repeating block of digits in the decimal expansion of 1/17 is 16.
Community Answer
What can the maximum number of digits be in the repeating block of dig...
17 100
-85
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150
-136
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-40
-34
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60
51
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90
-85
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50
-34
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160
-153
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70
- 68
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20
-17
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30
-17
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130
- 119
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110
-102
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80
-68
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120
-119
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1
_ The repeating block has to digit.
-85
_
150
-136
_
-40
-34
_
60
51
_
90
-85
_
50
-34
_
160
-153
_
70
- 68
_
20
-17
_
30
-17
_
130
- 119
_
110
-102
_
80
-68
_
120
-119
_
1
_ The repeating block has to digit.
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What can the maximum number of digits be in the repeating block of digits in the decimal expansion of 1_17 ? Perform the division to check your answer.?
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What can the maximum number of digits be in the repeating block of digits in the decimal expansion of 1_17 ? Perform the division to check your answer.? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about What can the maximum number of digits be in the repeating block of digits in the decimal expansion of 1_17 ? Perform the division to check your answer.? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What can the maximum number of digits be in the repeating block of digits in the decimal expansion of 1_17 ? Perform the division to check your answer.?.
What can the maximum number of digits be in the repeating block of digits in the decimal expansion of 1_17 ? Perform the division to check your answer.? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about What can the maximum number of digits be in the repeating block of digits in the decimal expansion of 1_17 ? Perform the division to check your answer.? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What can the maximum number of digits be in the repeating block of digits in the decimal expansion of 1_17 ? Perform the division to check your answer.?.
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