How do you convert 0.00083 into scientific notation?

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Answer 1 · 2015-07-13T00:02:48

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 $10^(-4)$ .

$0.00083 = 8.3 × 10^(-4)$