Math Problem Statement
Write 18/11 as a decimal. If necessary, use a bar to indicate which digit or group of digits repeats.
Solution
To write as a decimal, we perform the division of .
Step-by-step solution:
- (since )
- Remainder:
- Bring down a to make , and divide:
- (since )
- Remainder:
- Bring down another to make , and divide:
- (since )
- Remainder:
At this point, the remainder repeats (we're back at ), meaning the decimal repeats. The result is:
The repeating part is , indicated with a bar.
Would you like further clarification or assistance with similar problems?
Related Questions:
- How do you convert other fractions like into repeating decimals?
- What is the difference between terminating and repeating decimals?
- How can we express repeating decimals as fractions?
- Why do some fractions result in repeating decimals, while others terminate?
- How do you determine the repeating sequence length in a decimal?
Tip:
Always check the remainder carefully when dividing to ensure you catch when it starts repeating!
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Math Problem Analysis
Mathematical Concepts
Division
Decimals
Repeating Decimals
Formulas
Division Algorithm
Theorems
Concept of Repeating Decimals
Suitable Grade Level
Grades 6-8