# How do you convert 0.25 into scientific notation?

##### 2 Answers

The number in standard scientific notation is

#### Explanation:

In scientific notation, numbers are written in the form

Your number in decimal form is

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,

The leading zero is not significant, so

We moved the decimal point one place, so the exponent is

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

The exponential part is therefore

#### Explanation:

One way of approaching this is to write the decimal in fraction form.

Let's use the one given in red, because in scientific notation, we want one non-zero digit before the decimal point.

Using laws of indices we have:

This is exactly what we want!