A number in is in the form

##a * 10^b##

Generally

##1 <= a < 10##
For ##3427## the decimal point is on the right of 7
##3427.0##
We need to move the decimal such that ##1 <= a < 10## will be satisfied.
However we also need to retain its value.
For each movement of the decimal place to the left multiply the number by 10.
To satisfy ##1 <= a < 10## the decimal place needs to move by 3 places to the left.
Hence we have
##3.427 * 10^3##
For the longer version of converting to scientific notation we have
##3427 * (1) = 3427##
##3427 * (1/10 * 10) = 3427##
##(3427 * 1/10) * 10 = 3427##
##342.7 * 10 = 3427##
##342.7 * 1 * 10 = 3427##
##342.7 * (1/10 * 10) * 10 = 3427##
##(342.7 * 1/10) * (10 * 10) = 3427##
##34.27 * (10^2) = 3427##
##34.27 * 1 * (10^2) = 3427##
##34.27 * (1/10 * 10) * (10^2) = 3427##
##(34.27 * 1/10) * (10 * 10^2) = 3427##
##3.427 * 10^3 = 3427##