SOLUTION: write 1/300 using sientifc notation. i feel stupid for this but oh well.

Algebra ->  Decimal-numbers -> SOLUTION: write 1/300 using sientifc notation. i feel stupid for this but oh well.      Log On


   



Question 124702: write 1/300 using sientifc notation.
i feel stupid for this but oh well.

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
First divide 1%2F300 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%5E-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%2A10%5E-3


This means that the number 0.0033 in scientific notation is 3.3%2A10%5E-3


In other words, 0.0033=3.3%2A10%5E-3



So this also means that the approximate value for 1%2F300 is 3.3%2A10%5E-3