How do you write #204,000,000# in scientific notation?

1 Answer
Apr 30, 2018

Answer:

#2.04xx10^8#

Explanation:

A number in scientific notation has the form:
#axx10^b#, where #abs(a)<10#

#a# can be found by taking every number from the first non-zero number to the last non-zero number, in this case:
#color(red)(204),000,000#.

And since #abs(a)<10# we make #a=2.04#

Now to find #b#, we find the number of digits between the first number and including the last number:
#2color(green)(04),color(green)(000),color(green)(000)#, there are #color(green)(8)# numbers after the #2#. So #b=8#

Therefore out number is #2.04xx10^8#