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

  1. 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:

$$ 1 \div 9 = 0.111 \ldots $$

  1. 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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