
Mark H. answered 11/21/19
Tutoring in Math and Science at all levels
Scientific notation:
A._____ * 10x
Example: 3.45 * 103 is the same as 3450.0
Note that the exponent has been moved 3 places to the right. Remember that moving the decimal point 1 place to the right is the same as multiplying by 10.
We are given 0.00000089
Starting with 8.9, we would have to move the decimal point 7 places to the LEFT. This means
that our answer in scientific notation is 8.9 * 10-7
This may help with understanding:
0.00xy0 = x.y * 10-3
0.0xy0 = x.y * 10-2
0.xy0 = x.y * 10-1
x.y = x.y * 100 <<remember that n0 = 1>>
xy.0 = x.y * 101
xy0.0 = x.y * 102
xy00.0 = x.y * 103