How to simplify #(3.045times10^5) /( 6.853times10^3)# in scientific notation?

1 Answer
Jan 21, 2016

Answer:

#4.443*10^1#

Explanation:

The expression can be rewritten in two parts as #(3.045/6.853)*(10^5/10^3)#

#(3.045/6.853) ~~0.4443# which in scientific notation should be written as #4.443*10^-1#

The expression then becomes #4.443*(10^-1*10^5/10^3)#

By the rules for exponents the powers of #10# should be added/subtracted to give

#=4.443*(10^5/10^4) =4.443*10^1#