# College Algebra Tutorial 3

College Algebra
Tutorial 3: Scientific Notation

Step 1:  Move the decimal point so that you have a number that is between 1 and 10.

*Decimal is at the end of the number

*Move decimal to create a number between 1 and 10

Step 2:   Count the number of decimal places moved in Step 1 .

How many decimal places did we end up moving?
We started at the end of the number 123400 and moved it between the 1 and 2.  That looks like a move of 5 places.

What direction did it move?
Looks like we moved it to the left.

So, our count is +5.

Step 3:   Write as a product of the number (found in Step 1) and 10 raised to the power of the count (found in Step 2).

Note how the number we started with is a bigger number than the one we are multiplying by in the scientific notation.  When that is the case, we will end up with a positive exponent.

*Move the decimal 6 to the left

*When mult. like bases you add your exponents: 7 + (-2) = 5

*Move the decimal 5 to the right

*When div. like bases you subtract your exponents: -4 - 9 = -13

*Move the decimal 13 to the left