Question 124702
First divide {{{1/300}}} to get 0.00333333333333 which rounds to 0.0033




{{{3.3}}} Place a decimal between the first digit 3 and the second digit 3.


Now how many spots to the left must the decimal move to go from the number {{{3.3}}} to the number {{{0.0033}}}?


The decimal needs to move 3 places to the left. So this is equivalent to multiplying {{{3.3}}} by {{{10^-3}}} to move the decimal 3 places to the left. Notice how the exponent -3 corresponds to the number of spots the decimal needs to move.



So putting all of this information together, we get


{{{3.3*10^-3}}}



This means that the number {{{0.0033}}} in scientific notation is {{{3.3*10^-3}}}



In other words, {{{0.0033=3.3*10^-3}}}




So this also means that the approximate value for {{{1/300}}} is {{{3.3*10^-3}}}