can someone please help me i am lost. S this is kind of like your problems i can help you and you can help me ***

the speed of the light in a vacuum is 299,792,458 meter per second which number, written in scientific notation, is the best approximation of the speed of light?

3.0 x 10^8 m/s

thank you!!

To find the best approximation of the speed of light in scientific notation, we need to convert the given number into a format that consists of a coefficient and a power of 10. Here's how you can do it:

1. Start with the given number: 299,792,458 meters per second.
2. Count the number of decimal places between the first non-zero digit and the end of the number. In this case, there are 8 decimal places.
3. Rewrite the number by moving the decimal point 8 places to the left:
299,792,458.0 becomes 2.99792458
4. The coefficient should be between 1 and 10, so adjust the number by dividing it by 10 until it falls within that range:
2.99792458 ÷ 10 = 0.299792458
5. The power of 10 will be positive since we divided by 10. The power depends on the number of times you divided by 10, which, in this case, is 8:
10^8 = 100,000,000 (1 followed by 8 zeros)
6. Put it all together: The best approximation of the speed of light in scientific notation is approximately 2.99792458 × 10^8 meters per second.

Therefore, in scientific notation, the best approximation of the speed of light is 2.99792458 × 10^8 m/s.