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 ^ n where 1 < a < 10 and is a one-digit number. (1 point)
3 * 10 ^ - 8;
3 * 10 ^ 9;
3 * 10 ^ 8;
3 * 10 ^ - 8
The correct answer is 3 * 10^8.
To express the number in scientific notation, we need to move the decimal point until we have a number between 1 and 10. In this case, we need to move the decimal point 8 places to the left. Since we are moving the decimal left, the exponent will be negative.
Starting with the original number, 0.000000003, we can count the number of places we need to move the decimal to get a value between 1 and 10. In this case, we need to move the decimal point 8 places.
Thus, the number can be expressed as 3 * 10^(-8).
To express the number in the form of a * 10 ^ n, we need to determine the value of a and n given that it takes light less than 0.000000003 of a second to travel a one-meter distance.
0.000000003 can be written as 3 * 10^-9 (3 multiplied by 10 raised to the power of -9).
Since 3 is a one-digit number between 1 and 10, the correct answer is:
3 * 10^-9.