Question

How do you convert 3690 into scientific notation?

Answer 1

The number in standard scientific notation is `3.69 × 10^3`.

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 `3690`.

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, `3690` becomes `3.690`.

The trailing zero is not significant, so we ignore it.

`3.690` becomes `3.69`.

We moved the decimal point three places, so the exponent is `3`.

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

The exponential part is therefore `10^3`.

`3690 = 3.69 × 10^3`