Final answer:
To add and subtract values in scientific notation, rewrite the numbers with the same exponent, combine the numbers, and express the answer in scientific notation.Option D is the correct answer.
Step-by-step explanation:
To add and subtract values expressed in scientific notation, we need to ensure that the exponents are the same. In this case, we can rewrite the numbers as:
(6.15 × 10^8) - (0.025 × 10^9) + (34 × 10^8)
Next, we can combine the numbers:
(6.15 - 0.025 + 34) × 10^8 = 40.125 × 10^8
Finally, we can express the answer in scientific notation:
40.125 × 10^8 = 4.0125 × 10^9
When adding or subtracting values in scientific notation, aligning the exponents is crucial. In this example, the given numbers are (6.15 × 10^8) - (0.025 × 10^9) + (34 × 10^8). To simplify, we rewrite them with the same exponent: (6.15 - 0.025 + 34) × 10^8. Combining the numbers yields 40.125 × 10^8. The final step is expressing the result in scientific notation, resulting in 4.0125 × 10^9. This process ensures accurate arithmetic with numbers in scientific notation, emphasizing the importance of aligning exponents for a correct and concise representation of the final result.