Question

How do you write `339` in scientific notation?

Answer 1

`339= color(green)(3.39xx10^2`

Explanation:

Scientific notation is always in the form:
`color(white)("XXX")color(red)("mantissa with one digit to the left of the decimal point")xx10^color(blue)("scaling exponent")`

So
`color(white)("XXX")339` must be written with a `color(red)("mantissa")` of `color(red)(3.39)`

The `color(blue)("scaling exponent")` is the number of times the `color(red)("mantissa")` must be multiplied by `10` to get the intended value.

`color(white)("XXX")3.39xx10^0=3.39color(white)("XXX")`not intended value.
`color(white)("XXX")3.39xx10^1=33.9color(white)("XXX)`not intended value
`color(white)("XXX")3.39xx10^2=339color(white)("XXXx")color(green)("intended value")`