To determine the correct way to represent 0.0035 kg in scientific notation, we need to follow the principles of converting a decimal number into scientific notation.
Scientific notation expresses a number as the product of a number between 1 and 10 and a power of 10. Here is the step-by-step process:
1. Identify the significant figures: The number given is 0.0035. The significant figures here are 3.5.
2. Determine the power of 10: To express 0.0035 in terms of a number between 1 and 10 times a power of 10, we need to count how many places we must move the decimal point to the right to get a number between 1 and 10.
- Moving the decimal point from 0.0035 to 3.5 involves three places to the right.
3. Express the number: Since moving the decimal point three places to the right corresponds to multiplying by [tex]\(10^{-3}\)[/tex] (because each move to the right decreases the exponent by one), we can now write the number in scientific notation as [tex]\(3.5 \times 10^{-3}\)[/tex].
Therefore, the correct way to represent 0.0035 kg in scientific notation is:
[tex]\[ \boxed{3.5 \times 10^{-3} \, \text{kg}} \][/tex]
