Question

How do you convert 3683000 into scientific notation?

Answer 1

The number in standard scientific notation is `3.683 × 10^6`.

Explanation:

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 `3683000`.

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, `3683000` becomes `3.683000`.

The trailing zeroes are not significant, so `3.683000` becomes `3.683`.

We moved the decimal point six places, so the exponent is `6`.

We moved the decimal point to the left, so the exponent is positive.

The exponential part is therefore `10^6`.

`3683000 = 3.683 × 10^6`