Sam is comparing the half-life of two isotopes of uranium. The half-life of Uranium-238 is 4.5×10^9 years. The half-life of Uranium-233 is 1.6×10^5 years. He computed how much greater the half-life of Uranium-238 is than that of Uranium-233, and his calculator displayed the number 2.81E4. What is this number in scientific notation?
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To express the number 2.81E4 in scientific notation, we note that E4 means "times ten raised to the power of 4". Therefore, 2.81E4 can be rewritten as:
\[ 2.81 \times 10^4 \]
This is already in proper scientific notation, as it follows the format of \( a \times 10^n \), where \( 1 \leq a < 10 \) and \( n \) is an integer.
Thus, the number 2.81E4 in scientific notation is:
\[ 2.81 \times 10^4 \]
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