# How to Convert a Number Less Than 1 to Engineering Notation

## Converting a Number Less Than 1 to Engineering Notation

A number can be written in engineering notation.

Imagine we wanted to write 0.0123 in engineering notation.

## How to Convert a Number Less Than 1 to Engineering Notation

Converting a number less than 1 to engineering notation is easy.

### Question

What is 0.0123 in engineering notation?

### Step-by-Step:

# 1

Move the decimal point 3 places to the right.

Is there at least 1 but no more than 3 digits to the left of the decimal point (that are not 0s) now that it has been moved? **Yes**. There are 2 digits to the left of the new decimal point:

**Note:** If there are more than 3 digits to the left of the new decimal point, move the decimal point another 3 places to the right, and another, until there are between 1 and 3 digits to the left of the decimal point.

# 2

Ignore the 0s before the first non-0 digit.

**12.3** will appear in the answer.

# 3

Count how many places the decimal point has been moved right. In our example, the decimal point has been moved **3** places to the right.

# 4

Take the negative of the answer to **Step 3**. The negative of 3 is **−3**.

# 5

Make the answer to **Step 4** (−3) the exponent of a power of 10.

**10 ^{−3}** will appear in the answer.

# 6

The number in engineering notation will consist of the number between 1 and 1,000 found in **Step 2** (12.3) multiplying the power of 10 found in **Step 5** (10^{−3}).

### Answer:

We have converted the number less than 1 to engineering notation: