A number in scientific notation 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#