To convert the numerical value [tex]\(0.000002\)[/tex] ounces to scientific notation, follow these steps:
1. Identify the decimal point: The given value is [tex]\(0.000002\)[/tex].
2. Move the decimal point: Move the decimal point to the right until there is only one non-zero digit to its left. In this case, you move the decimal point six places to the right:
[tex]\[
0.000002 \quad \rightarrow \quad 2.0
\][/tex]
3. Count the number of places moved: We moved the decimal point six places to the right. This movement will be represented as a negative exponent in the scientific notation because we are dealing with a number smaller than one.
4. Write in scientific notation: Combine the single digit and the exponent. The number [tex]\(2.0\)[/tex] is multiplied by [tex]\(10\)[/tex] raised to the power of the number of places the decimal was moved. Therefore, the scientific notation of [tex]\(0.000002\)[/tex] is:
[tex]\[
2.00 \times 10^{-6}
\][/tex]
So, the weight of a grain of rice written in scientific notation is [tex]\(2.00 \times 10^{-6}\)[/tex] ounces.
