QQuestionMathematics
QuestionMathematics
Convert 4 / 9 into its decimal form and round to the nearest thousandth.
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Answer
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Step 1:I'll solve this problem step by step following the specified LaTeX formatting guidelines:
Step 2:: Set up the division
To convert $$\frac{4}{9}$$ to a decimal, we need to perform long division of 4 by 9.
Step 3:: Perform the division
4 \div 9 = 0.444444...
This is a repeating decimal where 4 repeats infinitely.
Step 4:: Round to the nearest thousandth
0.444444... \approx 0.444
To round to the nearest thousandth, we look at the fourth decimal place:
Step 5:: Verify the rounding
- The fourth decimal digit is 4 - Since 4 is less than 5, we round down - This means the third decimal place remains unchanged
Final Answer
Key Points: - The fraction \frac{4}{9} is a repeating decimal - When rounded to the thousandths place, it becomes 0.444 - The repeating 4 continues infinitely in the original decimal representation
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