Question #34e81

1 Answer
May 21, 2016

Answer:

I hope it helps:

Explanation:

The good thing about scientific notation is that you do not need to deal with a lot of zeros and the operations are quite simplified. The problem is that you need to remember some rules of exponents!
In your case you have a multiplication that can be written as:
#(8.2*2.1)*(10^2*10^5)=#
here you take advantage of the fact that the order in the multiplication is irrelevant.

The first multiplication is easy to do while the second can be solved remembering that: #x^m*x^n=x^(m+n)#

so, basically, if the base is the same (#10#) you simply add the exponents:
#10^2*10^5=10^(2+5)=10^7#
your number then becomes:
#(8.2*2.1)*(10^2*10^5)=17.22*10^7# or #1.722*10^8#

Consider a division now and see, by yourself, what will be the result!