Find the following quotient. If the quotient is a repeating​ decimal, write the answer with a bar over the repeating digit or digits.
1divided by0.9
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Part 1
Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice.
A.
The quotient is a terminating decimal. 1divided by0.9equals
  
enter your response here
​(Type a whole number or a​ decimal.)
B.
The answer is a repeating decimal. 1divided by0.9equals. 1 1 rep
C.
The answer is a repeating decimal. 1divided by0.9equals1. 1 rep

To solve \( \frac{1}{0.9} \), we can convert it to a fraction:

\[
\frac{1}{0.9} = \frac{1}{\frac{9}{10}} = \frac{1 \times 10}{9} = \frac{10}{9}
\]

Now, we can convert \( \frac{10}{9} \) to a decimal:

\[
\frac{10}{9} = 1.1111\ldots
\]

This is a repeating decimal with the digit 1 repeating. So, the answer is:

\[
1.\overline{1}
\]

The correct choice is:
C. The answer is a repeating decimal, \( 1.\overline{1} \).

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Do you want more details, or do you have any questions?  
Here are some related questions you can explore:

1. What is the result of \( \frac{1}{0.8} \)?
2. How can you convert \( \frac{5}{6} \) to a decimal?
3. What is \( \frac{1}{0.7} \) as a repeating decimal?
4. How do you convert a repeating decimal to a fraction?
5. What is \( \frac{1}{0.6} \) in decimal form?

**Tip:** When dividing by a decimal, you can multiply both the numerator and the denominator by 10 to eliminate the decimal before performing division.

Find the following quotient. If the quotient is a repeating decimal, write the answer with a bar over the repeating digit or digits. 1 divided by 0.9.

Learn how to divide 1 by 0.9 and understand why the result is a repeating decimal. This problem explains the process of converting fractions to decimals and covers key concepts in division. Suitable for students in Grades 6-8.

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