Answer
$2.26\times10^{-4}$
Work Step by Step
The final form of the expression should be: $a\times10^{n}$. The steps to convert from decimal to scientific notation include:
1. Determine $a$, the numerical factor. Move the decimal point in the given numberto obtain a number whose absolute value is between 1 and 10, including 1.
2. Determine $n$, the exponent on $10^{n}$. The absolute value of $n$ is the number of places the decimal point was moved. The exponent $n$ is positive if the decimal point was moved to the left, negative if the decimal point was moved to the right, and 0 if the decimal point was not moved.
For example: Convert $0.000226$ in scientific notation.
The numerical factor $a$ would have to be $2.26$ because moving the decimal point further to the right will give a value that’s greater than 10.
In obtaining $2.26$, the decimal point was moved $4$ places to the right. Following the statement above, $n$ would be negative.
Thus, writing this in the form $ a \times 10^{n}$ = $2.26\times10^{-4}$.
