Which of the following is the correct scientific notation for 0.00015?

• A. 1.5 × 10^{4}
• B. 15 × 10^{-5}
• C. 1.5 × 10^{-4}
• D. 1.5 × 10^{-5}

Answer: (C)

Verified step by step guidance

1. Identify the decimal number given: 0.00015.
2. To write a number in scientific notation, express it as a product of a number between 1 and 10 and a power of 10.
3. Move the decimal point in 0.00015 to the right until you have a number between 1 and 10. Count how many places you move the decimal point.
4. Since you move the decimal point 4 places to the right, the exponent on 10 will be negative 4, because the original number is less than 1.
5. Write the number as \(1.5 \times 10^{-4}\), which is the correct scientific notation for 0.00015.