Question

How do you write `0.007 498 3 times 10^4` in scientific notation?

Answer 1

`7.4983 xx 10`

Explanation:

This number is already in exponential form, but not in scientific notation because the number in front of the decimal point is 0.

You need to move the decimal point 3 places to the left which will affect the exponent.

If the point moves to the left, the index increases.
If the point moves to the right the index decreases.

This gives:
`0.0074983 xx 10^4 = 7.4983 xx 10^(4-3)`

Or you can uses two indices of 10.
`0.0074983 xx 10^4` is the same as `7.4983 xx 10^-3 xx 10^4`

Which simplifies to `7.4983 xx10`