A number can be written in engineering notation.
Imagine we wanted to write 1,230,000 in engineering notation.
To convert the number to engineering notation, we must move the decimal point from the end of the number to the left in groups of 3 places until there is at least 1 but no more than 3 digits to the left of the decimal point.
Please tell us using

## How to Convert a Number to Engineering Notation

Converting a number to engineering notation is easy.## Question

What is 1,230,000 in engineering notation?## Step-by-Step:

## 1

Write the decimal point at the end of the number.

## 2

Move the decimal point 3 places to the left.
Is there at least 1 but no more than 3 digits to the left of the decimal point?

**No**. There are 4 digits to the left of the decimal point.## 3

Move the decimal point another 3 places to the left.
Is there at least 1 but no more than 3 digits to the left of the decimal point?

**Yes**. There is only 1 digit to the left of the decimal point.## 4

Ignore the 0s after the last non-0 digit.

**1.23**will appear in the answer.## 5

Count how many places the decimal point has been moved left. In our example, the decimal point has been moved

**6**places to the left.## 6

## 7

The number in engineering notation will consist of the number between 1 and 1,000 found in

**Step 4**(1.23) multiplying the power of 10 found in**Step 6**(10^{6}).## Answer:

We have converted the number to engineering notation:## Powers of 10

A power of 10 is 10 raised to a exponent. For example,**10**is a power of 10. The small 3 written beside the 10 means it is raised to an exponent of 3. This means 10 is multiplied by itself 3 times.^{3}
10

The answer will have 3 0s after the 1:
^{3}= 10 × 10 × 10
10

^{3}= 1,000## What Is a Multiple of 3?

The exponent of the power of 10 in engineering notation must be a multiple of 3. A multiple of 3 is a number that results from multiplying 3 by a whole number. Multiples of 3 are:
3, 6, 9, 12, 15, 18, 21...

Multiples of 3 can be negative as well:
−3, −6, −9, −12, −15, −18, −21...

## You might also like...

notationunderstanding engineering notationconverting a number less than 1 to engineering notationconverting engineering notation to a number

#### Help Us Improve Mathematics Monster

- Do you disagree with something on this page?
- Did you spot a typo?

__this form__.

#### Find Us Quicker!

- When using a search engine (e.g., Google, Bing), you will find Mathematics Monster quicker if you add
**#mm**to your search term.

#### Share This Page

If you like Grammar Monster (or this page in particular), please link to it or share it with others.

If you do, __please tell us__. It helps us a lot!

#### Create a QR Code

Use our handy widget to create a QR code for this page...or any page.