Question

How do you convert 0.00083 into scientific notation?

Answer 1

The number in standard scientific notation is `8.3× 10^(-4)`.

In scientific notation, numbers are written in the form `a × 10^b`, where `a` is the "pre-exponential" part and `10^b` is the "exponential part".

Your number in decimal form is `0.00083`.

The negative sign remains unchanged.

To get to "standard" scientific notation, we move the decimal point so there is only one non-zero digit in front of the decimal point.

So, `0.00083` becomes `00008.3`.

The leading zeroes are not significant, so `00008.3` becomes `8.3`.

We moved the decimal point four places, so the exponent is `4`.

We moved the decimal point to the right, so the exponent is negative.

The exponential part is therefore `10^(-4)`.

`0.00083 = 8.3 × 10^(-4)`