Question

use scientific notation quick check
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? (1 point)
○ 4×10^2.81
○ 2.81×10^4
○ 2.81×10^(-4)
○ 2.81 + 10^4

Explanation:

Step1: Understand scientific - notation format

Scientific notation is of the form $a\times10^{n}$, where $1\leqslant|a|\lt10$ and $n$ is an integer. When a calculator displays a number in the form $aEb$, it means $a\times10^{b}$.

Step2: Convert calculator display to scientific notation

The calculator displays $2.81E4$. In scientific - notation, this is equivalent to $2.81\times10^{4}$.

Answer:

B. $2.81\times 10^{4}$