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To express the number \( 0.003447 \) in scientific notation:

1. Move the decimal point so that only one non-zero digit remains to the left of the decimal. In this case, we move the decimal point three places to the right, yielding:
   \[
   3.447 \times 10^{-3}
   \]

2. Round \( 3.447 \) to one decimal place. This gives:
   \[
   3.4 \times 10^{-3}
   \]

Thus, in scientific notation, \( 0.003447 \) is written as:
\[
b = 3.4, \quad n = -3
\]

Let me know if you need further clarification or details!

Here are 5 related questions:
1. How do you convert larger numbers (e.g., 123,000) into scientific notation?
2. What is the general form of scientific notation and its significance in mathematics?
3. Why is rounding necessary when working with significant figures in scientific notation?
4. How can scientific notation simplify multiplication and division of large or small numbers?
5. How do you convert between scientific and standard decimal notation?

**Tip**: When converting to scientific notation, always ensure that the decimal part is between 1 and 10 before adjusting the exponent.

0.003447 is written in scientific notation in the form b × 10ⁿ. Write b correct to 1 decimal place, and n as an integer.

Learn how to express 0.003447 in scientific notation, including rounding the coefficient to one decimal place. Understand the concept of scientific notation and practice converting and rounding numbers, suitable for students in Grades 6-8.

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