How to simplify #(27,000,000)(0.0004)# in scientific notation?

1 Answer
May 20, 2018

Answer:

#27,000,000=2.7*10^(7)#
#0.0004=4*10^(-4)#
#2.7*10^(7)*4*10^(-4)=10.8*10^(3)#

Explanation:

#27,000,000=27*10^( color(red)(6))#

6-numbers of zeros, you can write 27 as:
#27=2.7*10#

#27,000,000=27*10^( color(red)(6))=2.7*10*10^( color(red)(6))=#
#=2.7*10^( color(red)(6)+1)=2.7*10^7#

#0.0004=4/10000=4/10^(color(red)(4))=4*10^(-4)#

#2.7*10^(7)*4*10^(-4)=2.7*4*10^(7-4)=10.8*10^3#