Question

How do you write `42,000` in scientific notation?

Answer 1

`4.2xx10^3`

Explanation:

These take a little bit of getting used to.

Multiply by 1 and you do not change the inherent value. 1 can be written in many ways. So you can change the way something looks without changing its inherent value.

Example: multiply 3 by 1 but in the form of `1=4/4`

`3xx4/4= (3xx4)/4=12/4`
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
The objective is to have just 1 non zero value to the left of the decimal point and everything else to its right.

Given:`" "42000`

Multiply by 1 but in the form of `1=10000/10000`

`42000xx1000/1000`

`42000/1000xx1000`

`4.2xx1000`

But `1000` is the same as `10^3`

So `4.2xx1000" "->" "4.2xx10^3`