Which of the following is the correct scientific notation for 0.00097?

• A. 0.97 imes 10^{-3}
• B. 9.7 imes 10^{-5}
• C. 9.7 imes 10^{-3}
• D. 9.7 imes 10^{-4}

Answer: (D)

Verified step by step guidance

1. Identify the decimal number given: 0.00097.
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. So, move the decimal point in 0.00097 to the right until you have a number between 1 and 10.
3. Count how many places you moved the decimal point. For 0.00097, moving the decimal point 4 places to the right gives 9.7.
4. Since you moved 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 in scientific notation as \$9.7 \times 10^{-4}$.