To express the number [tex]\(5.0006 \cdot 10^8\)[/tex] in scientific notation, let's follow these steps:
1. Identify the Coefficient: The number [tex]\(5.0006\)[/tex] is the coefficient in scientific notation. Scientific notation requires the coefficient to be a number between 1 and 10.
2. Identify the Exponent: The exponent in this expression is 8. This tells us how many places the decimal point in the coefficient should move. Specifically, a positive exponent indicates that the decimal point should move to the right.
3. Combine the Coefficient and Exponent: Write the coefficient followed directly by the exponent in scientific notation format. The format is typically a coefficient followed by an "e" (which stands for exponent) and then the exponent itself.
Hence, the number [tex]\(5.0006 \cdot 10^8\)[/tex] is written in scientific notation as [tex]\(5.0006e+08\)[/tex].
To summarize, the number [tex]\(5.0006 \cdot 10^8\)[/tex] in scientific notation is:
[tex]\[ 5.0006 \text{e} + 08 \][/tex]
