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

Sep 26, 2016

$7.4983 \times 10$

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:
$0.0074983 \times {10}^{4} = 7.4983 \times {10}^{4 - 3}$

Or you can uses two indices of 10.
$0.0074983 \times {10}^{4}$ is the same as $7.4983 \times {10}^{-} 3 \times {10}^{4}$

Which simplifies to $7.4983 \times 10$