Question

How do you simplify and write `2.5 times 10^3 times 520` in scientific notation?

Answer 1

`1.3xx10^6`

Explanation:

Lets get rid of the decimal!

Write `2.5xx10^3" as "25xx10^2`

Now we have:

`25xx520xx10^2 =13000xx10^2`
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Rather than write the solution straight off I am going to do the following so you can see what the stages are and their relationships.

`color(blue)("All the following have the same value. They just look different!")`

`13000xx10^2`
`1300xx10^3`
`130xx10^4`
`13xx10^5`
`1.3xx10^6 larr" This is Scientific notation"`