Which of the following is the correct scientific notation for 0.00063?

• A. 6.3 \times 10^{-3}
• B. 63 \times 10^{-5}
• C. 6.3 \times 10^{-4}
• D. 6.3 \times 10^{4}

Answer: (C)

Verified step by step guidance

1. Identify the original number: 0.00063.
2. Recall that scientific notation expresses a number as \(a \times 10^{n}\), where \$1 \leq a < 10\( and \)n$ is an integer.
3. Move the decimal point in 0.00063 to the right until you get a number between 1 and 10. Count how many places you move the decimal.
4. Since moving the decimal point 4 places to the right converts 0.00063 to 6.3, the exponent \(n\) will be negative 4 (because the original number is less than 1).
5. Write the number in scientific notation as \$6.3 \times 10^{-4}$.