QQuestionMathematics
QuestionMathematics
The decimal equivalent of 3 / 7 rounded to the nearest hundredth is _____.
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Answer
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Step 1:I'll solve this step by step following the specified LaTeX formatting guidelines:
Step 2:: Divide 3 by 7 to get the decimal representation
3 \div 7 = 0.428571428...
Step 3:: Identify the digits to the hundredths place
0.428571428...
To round to the nearest hundredth, we look at the third decimal digit (the thousandths place): The third digit is 8, which is greater than or equal to 5.
Step 4:: Apply rounding rules
0.428571428... \approx 0.43
When the third digit is 5 or greater, we round up the second digit:
Final Answer
Key Points: - The division of 3 by 7 results in a repeating decimal - Rounding to the nearest hundredth involves looking at the third decimal digit - Since 8 is ≥ 5, we round up from 0.42 to 0.43
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