Sam is comparing the half-life of two isotopes of uranium. The half-life of Uranium-238 is 4.5 × 10° years The half-life of Uranium-233 is 1.6 x 10 years. He computed how much greater the half-life of Uranium-238 is than that of Uranium-233, and his calculator displayed the number 2.814. What is this number in scientific notation? (1 point)
O 2.81 × 104
0 4 × 10281
O 2.81 + 104
O 2.81 × 10 4
The number 2.814 can be written in scientific notation as 2.81 × 10^0, which simplifies to just 2.81.
The number 2.814 in scientific notation is 2.81 × 10^0.
To convert the number 2.814 into scientific notation, you need to move the decimal point to the right until you have a number between 1 and 10. In this case, you would need to move the decimal point two places to the right to get 2.81.
Now, you count the number of decimal places you moved the decimal point. In this case, you moved it two places to the right, so the exponent will be negative.
Finally, you write the number in scientific notation by multiplying the decimal part (2.81) by 10 raised to the power of the exponent (-2).
So, the number 2.814 in scientific notation is 2.81 × 10^0.