Question
How do you write 3.9060 in scientific notation?
Ask by Higgins Wade. in the United States
Feb 11,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
3.9060 in scientific notation is \(3.9060 \times 10^0\).
Solution
To write the number 3.9060 in scientific notation, follow these steps:
1. **Identify the significant figures**: The number 3.9060 has four significant figures (the trailing zero is significant because it indicates precision).
2. **Move the decimal point**: In scientific notation, we express numbers as a product of a number between 1 and 10 and a power of 10. For 3.9060, the decimal point is already in the correct position (after the first non-zero digit).
3. **Express in scientific notation**: The number can be written as:
\[
3.9060 \times 10^0
\]
Since moving the decimal point does not change the value of the number, the exponent is 0.
Thus, the scientific notation for 3.9060 is:
\[
3.9060 \times 10^0
\]
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Simplify this solution Bonus Knowledge
To convert 3.9060 into scientific notation, you need to express it as a number between 1 and 10 multiplied by a power of ten. Since 3.9060 is already in that range, you can simply write it as 3.9060 x 10^0, as anything multiplied by 10^0 is itself! While rounding can change how you express decimals, in scientific notation, maintaining the significant figures from the original number is important. So, keep those trailing zeros in mind; they indicate precision!
