Sam is comparing the half-life of two isotopes of uranium. the half-life of Uranium-238 is 4.5 time 10^9 years. The half-life of Uranium-233 is 1.6 time 10^5 years. he computed how much greater the half-life of Uranium-238 is than that of Uranium-233, and his calculator displays the number 2.81E4. what is this number in scientific notation?

2.81 time 10^negative 4
2.81 + 10^4
4 times 10^2.81
2.81 times 10^4

1 answer

The number displayed on Sam's calculator, 2.81E4, is already in scientific notation. In scientific notation, "E" represents "times 10 to the power of," so 2.81E4 is the same as \( 2.81 \times 10^4 \).

Thus, the correct answer is:

2.81 times 10^4.