Roughly, it takes light less than 0.000000003 of a second to travel a one-meter distance. Express this number in a form of a x 10^n where 1<a<10 and is a one-digit number.
To express the number in scientific notation, we need to count the number of decimal places we need to shift to the right to make it a value between 1 and 10.
Starting with the given value of 0.000000003, we move the decimal point 9 places to the right to get 3.0.
Therefore, the number can be expressed as 3.0 × 10^9.
To express the number in the requested format, we can use scientific notation.
We know that it takes light less than 0.000000003 of a second to travel one meter. Written in scientific notation, this number is expressed as:
0.000000003 = 3 x 10^(-9)
Therefore, the number in the requested format, where 1 < "a" < 10, and "a" is a one-digit number, is 3 x 10^(-9).
To express the number in the form of a x 10^n, we need to convert it to scientific notation.
Given that it takes light less than 0.000000003 seconds to travel one meter, this can be expressed as 3 x 10^(-9) seconds.
Here's how you can calculate it step by step:
1. Start with the original number: 0.000000003.
2. Count the number of decimal places from the original number until the first non-zero digit. In this case, we have 9 decimal places.
3. Write down the number without the leading zeros, which gives us 3.
4. Then, append "x 10^" to the number.
5. Finally, write down the number of decimal places as the exponent. In this case, the exponent is -9.
So, the expression for the number 0.000000003 in scientific notation is 3 x 10^(-9).