Question

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

Answer 1

`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`