Roughly, it takes light less than 0.000000003 of a second to travel a one-meter distance. Express this number in the form of a × 10% where 1 < a < 10 and is a one digit number. (1 point)
0 3 × 108
0 3 × 10 8
0 3 × 10°
O 3 × 10°
0 3 × 10 8
To express the number in the form of a × 10%, we want to find a value for "a" that is between 1 and 10, and then express the given number in scientific notation.
The distance it takes for light to travel one meter is less than 0.000000003 seconds.
In scientific notation, this number can be expressed as 3 × 10^(-9) since we are moving the decimal point 9 places to the left.
However, the given options are:
1) 0 3 × 108
2) 0 3 × 10 8
3) 0 3 × 10°
4) O 3 × 10°
None of these options accurately represent 3 × 10^(-9). Therefore, none of the given options is the correct answer.
To express a number in the form a × 10ⁿ, we need to write the number in scientific notation.
Given that it takes light less than 0.000000003 of a second to travel a one-meter distance, we can express this in scientific notation as 3 × 10⁻⁹ seconds.
Now, to express this number in the form of a × 10%, where 1 < a < 10 and a is a one-digit number, we first need to move the decimal point after the first non-zero digit in the number 3 × 10⁻⁹. In this case, after moving the decimal point, we get the number 0.3 × 10⁻⁸.
Finally, we can convert 0.3 × 10⁻⁸ to the correct scientific notation format, which is: 3 × 10⁻⁹ or O 3 × 10° (Option D).