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

1 Answer
May 20, 2018

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