When you write a number in scientific notation, you write it as a product of two numbers: the first number is a number between 1 and 10 (greater than 1 but less than 10) and the second number is a power of 10.
You use scientific notation to eliminate trailing zeroes and zeroes that precede non-zero digits. You cannot eliminate zeroes that are between non-zero digits, however.
In your problem all the zeroes preceding 327 can be eliminated. You have to keep all non-zero digits and all zeroes that fall between non-zero digits. You keep the 327 in that order !
Where do you put the decimal point so that the number is between 1 and 10 ?
0.327 ?, 3.27 ?, 32.7 ?, 327. ?
0.327 is less than 1 and 32.7 and 327. are greater than 10 so the answer is 3.27 !
3.27 is our first number. The second number must be a power of 10.
Look at the decimal point in the number 3.27; how many places and in which direction must it be moved to get back to the original number ? You must move the decimal point 22 places to the left to get back to the original number. Remember, you cannot change the value of the original number, only the way it is written.
The final answer is 3.27*10^(-22). You have to move to the left past the 3 and put 21 0's in front of the
327 ! Why is the exponent negative ? The exponent is negative because you moved the decimal point to the left. If you move the decimal point to the right, the exponent will be positive.
Finally, if either number is 1, you can leave it out of the answer.
Example:8.36=8.36*10^0(anything to the zero power is 1 except 0 to the zero power which does not exist)
8.36=8.36*10^0=8.36*1=8.36(in other words, don't change 8.36 because it is already between 1 and 10)