The established value for the speed of light in a vacuum is 299 792 458 m/s. What is the order-of-magnitude of this number?
Looks like 200 million to me.
To determine the order-of-magnitude of a number, you need to determine the power of 10 that is closest to the given value. In this case, the speed of light in a vacuum is approximately 299 792 458 m/s.
To find the order-of-magnitude, you can count the number of digits in the given value, excluding any leading zeros. In this case, there are nine digits in the number.
Next, subtract 1 from the count of digits to determine the power of 10. So, in this case, the order-of-magnitude is 9 - 1 = 8.
Therefore, the order-of-magnitude of the speed of light in a vacuum (299 792 458 m/s) is 8.