Question

How do you write 0.00498 in scientific notation?

Answer 1

`4.98times10^-3`

Explanation:

`4.98times10^-3`

is the answer.

Answer 2

`4.98 xx 10^-3`

Explanation:

To change a decimal into scientific notation, move the decimal place. The number of places you move is the number you will use as the exponent of `10`:

`0color(red)(.)00498`

Now move the decimal place, counting how many places it moves as you go:

`0color(red)(.)00498`

`00color(red)(.)0498` (1 space)

`000color(red)(.)498` (2 spaces)

`0004color(red)(.)98` (3 spaces)

The decimal was moved `3` spaces. Since the decimal was moved to the right, you will use a negative exponent.

`"move to the right = negative"`
`"move to the left = positive"`

So use the number of spaces you moved, and make it negative:

`4.98 xx 10^color(blue)(-3)`

Answer 3

`4.98xx10^(-3)`

Explanation:

The number 0.00498 has to be between 1 and 10 and then it is multiplied by 10 to a power. `10^(-3)` =`1/1000` so you are dividing by 1000