Certainly! To convert the number [tex]\(4.16 \times 10^{-5}\)[/tex] to standard notation, follow these steps:
1. Understand that the exponent [tex]\(-5\)[/tex] indicates that the decimal point should be moved 5 places to the left.
2. Start with the number 4.16.
3. Move the decimal point 5 places to the left. To make the number smaller, each move of the decimal point adds a zero in front of the number:
- Moving one place: [tex]\(0.416\)[/tex]
- Moving two places: [tex]\(0.0416\)[/tex]
- Moving three places: [tex]\(0.00416\)[/tex]
- Moving four places: [tex]\(0.000416\)[/tex]
- Moving five places: [tex]\(0.0000416\)[/tex]
So, [tex]\(4.16 \times 10^{-5}\)[/tex] in standard notation is [tex]\(0.0000416\)[/tex].
Hence, the correct answer is [tex]\(0.0000416\)[/tex].
