Final Answer:
C. 25 x 10^8 Hz
The microwave frequency of 2,500,000,000 Hz in scientific notation is 2.5 × 10^9 Hz. Choosing option C converts this to 25 × 10^8 Hz, maintaining the same numerical value in a different form.
Step-by-step explanation:
The microwave oven operates at a frequency of 2,500,000,000 Hz. In scientific notation, this is expressed as 2.5 × 10^9 Hz. To convert this to the required multiple-choice format, we can express it as 25 × 10^8 Hz.
In scientific notation, a number is expressed as the product of a coefficient and a power of 10. In this case, the coefficient is 2.5, and since we are moving the decimal point nine places to the left to express it in standard scientific notation, the power of 10 becomes positive 9. Therefore, 2.5 × 10^9 Hz is the original frequency.
Now, looking at the provided options, we choose option C, which is 25 × 10^8 Hz. To verify, 25 × 10^8 is the same as 2.5 × 10^9 because multiplying 25 by 10^8 is equivalent to multiplying it by 10, giving us 250, and then multiplying by the remaining 10^1 results in 2,500. So, C. 25 × 10^8 Hz is the correct scientific notation for the microwave oven's frequency.