Which of the following shows 0.00897 written in scientific notation?

• A. 0.897 × 10^{-2}
• B. 8.97 × 10^{3}
• C. 8.97 × 10^{-3}
• D. 89.7 × 10^{-4}

Answer: (C)

Verified step by step guidance

1. Understand that scientific notation expresses a number as a product of a number between 1 and 10 and a power of 10, in the form \(a \times 10^{n}\) where \$1 \leq a < 10\( and \)n$ is an integer.
2. Start with the given number: 0.00897. To write it in scientific notation, move the decimal point to the right until you have a number between 1 and 10.
3. Count how many places you move the decimal point. For 0.00897, moving the decimal 3 places to the right gives 8.97.
4. Since you moved the decimal point 3 places to the right, the exponent on 10 will be negative 3, because moving right corresponds to a negative power of 10.
5. Write the number in scientific notation as \$8.97 \times 10^{-3}$, which matches the correct answer.