Question

How do you convert -0.000134 into scientific notation?

Answer 1

The number in standard scientific notation is `-1.34 × 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 `-0.000134`.

When we convert to scientific notation, the negative sign stays the same.

We move the decimal point so there is only one non-zero digit in front of the decimal point.

So, `-0.000134` becomes `-00001.34`.

The "leading zeroes" are not significant and can be dropped, so the pre-exponential term is `-1.34`.

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

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

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

So `-0.000134 = -1.34 × 10^-4`.