Final answer:
To perform the multiplication operation, multiply the two numbers and express the answer in scientific notation with the correct number of significant figures.
Step-by-step explanation:
To perform the multiplication operation, multiply the two numbers together: 0.002115 x 0.0000405 = 0.00000008582775. To express the answer in scientific notation, move the decimal point to the right until there is one non-zero digit to the left of the decimal point. The result is 8.582775 x 10-8. To determine the correct number of significant figures, count the number of significant figures in each number being multiplied. In this case, 0.002115 has four significant figures and 0.0000405 has three significant figures. The result should have the same number of significant figures as the least precise number, which is three. Therefore, the final answer, expressed with the correct number of significant figures, is 8.58 x 10-8.
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