How do you write 1/9 as a decimal?
Understand the Problem
The question is asking how to convert the fraction 1/9 into its decimal form. This involves performing the division of 1 by 9.
Answer
0.111...
Answer for screen readers
The final answer is 0.111...
Steps to Solve
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Set up the division
The division we need to perform is $1 \div 9$. This can be written as long division with 1 as the dividend and 9 as the divisor.
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Perform the division
Since 1 is less than 9, we need to add a decimal point and zeroes to the dividend. Here's the step-by-step process:
- Divide 10 by 9, which goes 1 time (1 x 9 = 9). Write 1 after the decimal point.
- Subtract 9 from 10, which leaves a remainder of 1.
- Bring down a 0 to make it 10 again and repeat.
This pattern will continue indefinitely, giving us a repeating decimal.
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Write the repeating decimal
The repeating pattern is 0.111... So, $\frac{1}{9}$ as a decimal can be written as $0.\overline{1}$, where the overline indicates that 1 is repeated.
The final answer is 0.111...
More Information
A fun fact is that when any number with repeating decimal digits just like the $\frac{1}{9}$ is multiplied by 9, you get a number with all 9's in decimal (i.e., $1$).
Tips
A common mistake is not recognizing that the decimal repeats. Always check if there is a repeating pattern in the remainder.
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