# How do you write #0.000 000 000 154# in scientific notation?

##### 2 Answers

#### Explanation:

In depth explanation of how to obtain

#### Explanation:

We need to be able to convert this number so that it looks line 1.54 but in such a way that its actual value has not changed.

Consider the example of 32. This would will to look like 3.2

If we divide it by 10 we then have

But this has changed its value so we need a slightly different approach.

For this type of calculation we need it to be of format

The way to use this method for our example is to do this:

Divide the denominator of 10 into 32 giving

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Given:

To achieve 1.54 we need to keep the decimal point where it is and slide the number towards the left for 10 digits.

To mathematically achieve this we have

But

So we need to multiply by

Apply the process of

But another way of writing

This gives: