1/9 in decimal
Understand the Problem
The question is asking for the decimal representation of the fraction 1/9. This requires performing a division to express it as a decimal.
Answer
0.\overline{1}
Answer for screen readers
The final answer is 0.\overline{1}
Steps to Solve
- Perform long division of 1 by 9
The first step is to divide 1 by 9. Since 1 is less than 9, we add a decimal point and a zero to make 10. Then, perform the division:
$$ 1 \div 9 = 0.111 \ldots $$
- Observe the repeating pattern
Continue the division process and you will notice that the digit 1 keeps repeating. This means the decimal form is a repeating decimal:
$$ 0.1111\ldots = 0.\overline{1} $$
The final answer is 0.\overline{1}
More Information
A fun fact about repeating decimals: any rational number (a fraction of two integers) can be expressed either as a terminating decimal or a repeating decimal.
Tips
A common mistake is to stop too early in the division process, missing out on identifying the repeating pattern.
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