Scientific notation is written as a number multiplied by a power of
Let's look at it using decimals, fractions and indices.
However, we need to keep the same number of significant figures in the answer as we started with, so the zeroes need to be shown as well.
If there are more place holders than in this example, then you count how many places the decimal point has moved.
The number is big, therefore the index of 10 is positive.
The number is a very small decimal therefore the index of 1 is negative
The answer in scientific notation must be written as one digit to the left of the decimal and the rest of the digits that are significant to the right of the decimal multiplied by a power of ten.
dividing by 10 is the same as
The zeros in