Express 811 as a repeating decimal. Mark the cycle of repeating digits with a bar.
811 as a repeating decimal is 811.000...
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I apologize for the error in my previous response. Let me correct it:
To express 811 as a repeating decimal, we can divide 811 by 1 to get the quotient 811 and remainder 0. Therefore, 811 can be expressed as 811.000...
Since the remainder is 0, there is no repeating cycle of digits in this case.
To express 811 as a repeating decimal, we need to perform long division.
Let's divide 811 by 9.
First, we write 811 as 811.0000 to indicate the decimal part.
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9 | 811.0000
The quotient obtained when dividing 811 by 9 is 90 with a remainder of 1.
Next, we bring down the decimal point and divide the remainder 1 by 9.
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9 | 811.0000
- 81
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100
The quotient obtained when dividing 100 by 9 is 11 with a remainder of 1.
We bring down the decimal point again and divide the remainder 1 by 9.
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9 | 811.0000
- 81
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100
- 99
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1000
The quotient obtained when dividing 1000 by 9 is 111 with a remainder of 1.
As we can see, the remainder of 1 keeps repeating. Therefore, the decimal representation of 811 as a repeating decimal is:
811/9 = 90.111... (The bar is placed over the repeating digits 111)