Question

How to convert `"433 kg"` to `"mg"` in scientific notation?

Answer 1

see explanation

Explanation:

mg = milligram
`1kg = 1,000,000 mg = 1xx10^6 mg`
`433kg = 433xx1xx10^6 = 4.33xx10^8 mg`

Answer 2

`"433 kg" = ?`

Well, you can go from `"kg"` to `"g"` to `"mg"` to make it easier. There's never any reason to skip steps, especially when you aren't comfortable yet...

`433 cancel"kg" xx (10^3 cancel"g")/cancel"kg" xx (10^3 "mg")/cancel"g"`

`= 433 xx 10^6 "mg"`

`= color(blue)(4.33xx10^8 "mg")`

Remember that scientific notation asks you to have the base number as `1.bar0 < x < 9.bar9`. So slip that decimal point two magnitudes back.

`433 xx 10^6 "mg"`

`= 433 xx 10^(8 - 2) "mg"`

`= 433 xx 10^(-2) xx 10^(8) "mg"`

`= 4.33 xx 10^8 "mg"`