Question

How do you convert 0.000347 into scientific notation?

Answer 1

The number in standard scientific notation is `3.47× 10^(-4)`.

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 `0.000347`.

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, `0.000347` becomes `00003.87`.

The leading zeroes are not significant, so `0003.87` becomes `3.87`.

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)`.

`0.000387 = 3.87 × 10^(-4)`