Final answer:
The quotient of 2.40 x 10² divided by 3.0 x 10⁻¹ is 8.0 x 10² when expressed in scientific notation. This result is obtained by dividing the coefficients and subtracting the exponents of the powers of 10.
Step-by-step explanation:
To calculate the quotient of 2.40 x 10² divided by 3.0 x 10⁻¹ and express it in scientific notation, follow these steps:
Divide the coefficients (the numbers in front of the powers of 10): 2.40 ÷ 3.0 = 0.80.
Subtract the exponents of 10: 2 (from 10²) minus (-1) (from 10⁻¹) equals 3. This is because when you divide powers of 10, you subtract the exponents.
Combine the results of the first two steps: 0.80 x 10³.
To express 0.80 x 10³ in proper scientific notation, which requires the coefficient to be at least 1 but less than 10, shift one decimal place to the right: thus, 0.80 becomes 8.0, and the exponent decreases by 1, resulting in 8.0 x 10².
The final answer in scientific notation is 8.0 x 10².