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)
Responses
3 × 10^8
3 × 10^−8
3 × 10^−9
3 × 10^9
To express the number in the form of a × 10^n where 1 < a < 10, we need to move the decimal point to the left until the number is between 1 and 10.
0.000000003
= 3 × 10^(-9)
To express the number in the form of a × 10^n where 1 < a < 10 and is a one-digit number, we can use scientific notation.
Given that it takes light less than 0.000000003 of a second to travel one meter, we can write this as 3 × 10^-9.
Therefore, the correct answer is 3 × 10^-9.
To express a number in the form of a × 10^n, we need to determine the value of "a" and "n" based on the given information.
The given information states that it takes light less than 0.000000003 of a second to travel a one-meter distance. We want to express this value as a × 10^n.
First, let's convert 0.000000003 into scientific notation:
0.000000003 = 3 × 10^(-9)
Therefore, the correct answer is 3 × 10^(-9)