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 105 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)
In scientific notation, the number 2.814 can be expressed as 2.814 x 10^0.
To express the number 2.814 in scientific notation, we need to move the decimal point to the right until there is only one non-zero digit to the left of the decimal point.
Starting with 2.814, we move the decimal point one place to the right to obtain 28.14.
Again, move the decimal point one place to the right to get 281.4.
Finally, move the decimal point one more place to the right to get 2814.
Therefore, the number 2.814 in scientific notation is 2.814 x 10².
To express the number 2.814 in scientific notation, we need to move the decimal point so that there is one non-zero digit to the left of the decimal point.
The original number, 2.814, already satisfies this condition, so we don't need to move the decimal point.
We can write the number 2.814 in scientific notation as 2.814 x 10^0, since the exponent is 0.