How do we write #10345089.41# in scientific notation?

1 Answer
Sep 18, 2016

Answer:

#10345089.41=1.034508941xx10^7#

Explanation:

In scientific notation, we write a number so that it has single digit to the left of decimal sign and is multiplied by an integer power of #10#.

Note that moving decimal #p# digits to right is equivalent to multiplying by #10^p# and moving decimal #q# digits to left is equivalent to dividing by #10^q#.

Hence, we should either divide the number by #10^p# i.e. multiply by #10^(-p)# (if moving decimal to right) or multiply the number by #10^q# (if moving decimal to left).

In other words, it is written as #axx10^n#, where #1<=a<10# and #n# is an integer.

To write #10345089.41# in scientific notation, we will have to move the decimal point seven points to left, which literally means dividing by #10^7#.

Hence in scientific notation #10345089.41=1.034508941xx10^7# (note that as we have moved decimal seven points to left we are multiplying by #10^7# to compensate for division by #10^7#.