roughly, it takes light less than 0.000000003 of a second to travel a one-meter distance. Express this number in the form a * 10 ^ n where 1 < a < 10 and is a one-digit number point)
In scientific notation, the number can be expressed as 3 * 10^(-9).
To express the number in the form of a * 10 ^ n, where 1 < a < 10 and a is a one-digit number, we can convert the given time in seconds to scientific notation.
The time it takes for light to travel a one-meter distance is less than 0.000000003 seconds.
We can write this in scientific notation as:
3 * 10^(-9) seconds.
Here, a = 3 and n = -9 in the desired format.
To express the number in the desired form a * 10^n, we need to convert 0.000000003 to a number between 1 and 10.
Step 1: Remove the decimal point:
0.000000003 = 3
Step 2: Count the number of decimal places after removing the decimal point:
Since we removed 9 decimal places, the exponent should be -9.
Step 3: Rewrite the number using scientific notation:
3 * 10 ^ -9
Therefore, the number 0.000000003 can be expressed as 3 * 10^-9.