QQuestionMathematics
QuestionMathematics
Express 8 / 11 as a repeating decimal. Mark the cycle of repeating digits with a bar.
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Answer
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Step 1:I'll solve this step by step, following the LaTeX formatting guidelines precisely:
Step 2:: Set up the division
To convert $$\frac{8}{11}$$ to a decimal, we'll perform long division of 8 ÷ 11.
Step 3:: Perform long division
- Divide 80 by 11: $$80 \div 11 = 7$$ remainder $$3
- Divide 80 by 11: 80 \div 11 = 7 remainder 3
Step 4:: Recognize the repeating pattern
Notice that we've returned to the remainder of 3, which means the decimal will start repeating from this point.
Final Answer
The bar over 72 indicates that these digits (72) repeat infinitely in the decimal representation.
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