Which of the following is the correct way to represent 0.0035 kg in scientific notation?

• A. 35 imes 10^{-4} ext{ kg}
• B. 3.5 imes 10^{3} ext{ kg}
• C. 0.35 imes 10^{-2} ext{ kg}
• D. 3.5 imes 10^{-3} ext{ kg}

Answer: (D)

Verified step by step guidance

1. Identify the given number: 0.0035 kg.
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 0.0035 to the right until you get a number between 1 and 10. Here, moving the decimal 3 places to the right gives 3.5.
4. Since you moved the decimal 3 places to the right, multiply by \(10^{-3}\) to keep the value the same.
5. Write the number in scientific notation as \(3.5 \times 10^{-3}\) kg.