# How do you convert -0.000134 into scientific notation?

Jul 12, 2015

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.