To eliminate the decimals in the equation \(-200k - 3.01 = 3.3\), we need to find a number that, when multiplied by the entire equation, will convert all decimals to whole numbers.
The largest decimal in the equation is 3.3 (which has one decimal place), followed by -3.01 (which has two decimal places). Therefore, multiplying by 100 will eliminate both decimals, as it will shift the decimal point two places to the right for -3.01 and one place for 3.3.
Let’s check what happens if we multiply the equation by 100:
\[ 100(-200k - 3.01) = 100(3.3) \]
This gives:
\[ -20000k - 301 = 330 \]
Now all the coefficients are whole numbers.
Therefore, the correct answer is 100.