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 x 10^n where 1 < a < 10 and is a one-digit number.
1. 3 x 10^8
2. 3 x 10^-9
3. 3 x 10^9
4. 3 x 10^-8
The correct answer is: 2. 3 x 10^-9
To express a number in the form of a x 10^n, you need to determine the value of a and n based on the given number. In this case, the given number is less than 0.000000003.
Start by counting the number of zeros after the decimal point, which is 9 in this case (0.000000003 has 9 zeros after the decimal point). The power of 10, denoted by n, will be negative in this case because the number is less than 1.
Next, remove the zeros after the decimal point and any leading zeros. In this case, the number becomes 3.
Now, express the number in the form of a x 10^n, where a is a one-digit number. Since the number is 3, the value of a becomes 3.
Finally, combine the values of a and n to get the final answer. In this case, the answer is 3 x 10^-9.
Therefore, option 2: 3 x 10^-9 is the correct answer.
To express the number in the form of a x 10^n, we need to move the decimal point 9 places to the right to get a number between 1 and 10. This means the correct answer is 3 x 10^-9.
Option 2: 3 x 10^-9