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QUESTION

# How do I convert 3427 into scientific notation?

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##