Sam is comparing the half-life of two isotopes of uranium. The half-life of Uranium-238 is 4.5×109 years. The half-life of Uranium-233 is 1.6×105 years. He computed how much greater the half-life of Uranium-238 is than that of Uranium-233, and his calculator displayed the number 2.81E4. What is this number in scientific notation?(1 point)
Responses
2.81+104
2.81 plus 10 superscript 4 baseline
4×102.81
4 times 10 superscript 2.81 baseline
2.81×104
2.81 times 10 superscript 4 baseline
2.81×10−4
2.81×10^4
The number 2.81E4 in scientific notation is 2.81×10^4.
To express the number 2.81E4 in scientific notation, we need to move the decimal point to the left until there is only one non-zero digit in front of it. In this case, the decimal point is after the digit 1. So, we can write it as 2.81 × 10^4. Therefore, the correct option is:
2.81×10^4.