Math Problem Statement
Write 11/18 as a decimal. If necessary, use a bar to indicate which digit or group of digits repeats.
Solution
To write as a decimal, we'll perform the division .
Let's calculate:
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Divide 11 by 18: The result is , where the digit "1" repeats indefinitely.
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Expressing the decimal: Since the digit "1" repeats, we can write the decimal as: The bar over the "1" indicates that it repeats.
Therefore, as a decimal is .
Would you like further details or have any questions?
Here are some related questions to consider:
- What is as a percentage?
- How can you identify the repeating digit in a decimal without performing long division?
- What is the decimal representation of ?
- How do you convert a repeating decimal like back into a fraction?
- Why do some fractions result in repeating decimals while others do not?
Tip: Remember, if a fraction's denominator is composed of factors other than 2 or 5, the decimal will repeat.
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Math Problem Analysis
Mathematical Concepts
Fractions
Decimal representation
Repeating decimals
Formulas
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Theorems
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Suitable Grade Level
Grades 6-8