The speed of light is about 671,000,000 miles per hour. How will you write this number in scientific notation?
1. 6.71 x 10^3
2. 6.71 x 10^8
3. 6.71 x 10^-8
4. 6.71 x 10^-3
2. 6.71 x 10^8
To write the speed of light in scientific notation, we need to convert the given number to a value between 1 and 10 and multiply it by an appropriate power of 10.
The given number is 671,000,000 miles per hour.
In scientific notation, we move the decimal point to the left until only one non-zero digit comes before the decimal point.
The new number is 6.71.
We moved the decimal point 8 places to the left, so the power of 10 is -8.
Therefore, the speed of light in scientific notation is 6.71 x 10^8 (option 2).
To write the speed of light in scientific notation, we need to express it as a number between 1 and 10, multiplied by a power of 10.
The speed of light is given as approximately 671,000,000 miles per hour. To write this number in scientific notation, we need to move the decimal point to the left until we have a number between 1 and 10.
So, to express 671,000,000 in scientific notation, we can write it as 6.71 x 10^8, since moving the decimal point 8 places to the left gives us 6.71.
Therefore, the correct answer is option 2: 6.71 x 10^8.