Question
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Answer
\( 0.000002178 \) in scientific notation is \( 2.178 \times 10^{-6} \).
Solution
To express \( 0.000002178 \) in scientific notation, follow these steps:
1. **Identify the Significant Figures**:
- The number \( 0.000002178 \) has the significant figures \( 2.178 \).
2. **Determine the Exponent**:
- Since the decimal is moved 6 places to the right to obtain \( 2.178 \), the exponent will be \( -6 \).
3. **Combine into Scientific Notation**:
- The scientific notation is \( 2.178 \times 10^{-6} \).
**Final Answer:**
\[ 2.178 \times 10^{-6} \]
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Simplify this solution Beyond the Answer
To express 0.000002178 in scientific notation, you'll want to move the decimal point to the right until you have a number between 1 and 10. Here, it becomes 2.178. Since you moved the decimal point 6 places to the right, it’s represented as 2.178 x 10^-6. This format makes it easier to work with very small (or very large) numbers, especially in fields like science and engineering, where precision is key and vast quantities need compact representation.
