Engineering ToolBox - Resources, Tools and Basic Information for Engineering and Design of Technical Applications!

# Numbers - Standard Form, Scientific and Engineering Notation

## The difference between standard, scientific and engineering number notation.

### Standard Form or Scientific Notation

A number written with one digit to the left of the decimal point and multiplied by 10 raised to some power is written in standard form or with scientific notation, ex.

43712 = 4.3712 104

0.036 = 3.6 10-2

### Engineering Notation

Engineering notation is similar to scientific notation except that the power of ten is always a multiple of 3, ex.

43712 = 43.712 103

= 0.043712 10

0.036 = 36 10-3

= 36000 10-6

Units used in engineering may be made smaller or larger with the use of prefixes, ex.

4.7 kJ = 4.7 103 J

= 4700 J

8 MV = 8 106 V

= 8000000 V

Prefixes used in the SI system.

Numbers written in scientific or engineering notation can be added or subtracted after they have been written with the same exponent. Example

4.3 104 + 2.4 103  =

4.3 104 + 0.24 104 =

(4.3 + 0.24) 104 =

4.54  104

#### Multiplication and Division

Numbers written in scientific or engineering notation can be multiplied or divided with the rules of exponential numbers.

#### Muliplication

N1 10x x N2 10y = (N1 x N2) 10x + y           (1)

##### Multiplcation Example

4.3 10 x 2.4 103  =

(4.3 x 2.4) 104+3 =

10.32  107

#### Division

N1 10x / N2 10y = (N1 / N2) 10x - y           (2)

##### Division Example

4.3 10 / 2.4 103  =

(4.3 / 2.4) 104-3 =

1.79  101

## Related Topics

• Mathematics - Mathematical rules and laws - numbers, areas, volumes, exponents, trigonometric functions and more.

## Engineering ToolBox - SketchUp Extension - Online 3D modeling!

Add standard and customized parametric components - like flange beams, lumbers, piping, stairs and more - to your Sketchup model with the Engineering ToolBox - SketchUp Extension - enabled for use with the amazing, fun and free SketchUp Make and SketchUp Pro .Add the Engineering ToolBox extension to your SketchUp from the SketchUp Pro Sketchup Extension Warehouse!

Translate

## Privacy

We don't collect information from our users. Only emails and answers are saved in our archive. Cookies are only used in the browser to improve user experience.

Some of our calculators and applications let you save application data to your local computer. These applications will - due to browser restrictions - send data between your browser and our server. We don't save this data.

## Citation

• Engineering ToolBox, (2011). Numbers - Standard Form, Scientific and Engineering Notation. [online] Available at: https://www.engineeringtoolbox.com/standard-form-scientific-engineering-notation-d_1801.html [Accessed Day Mo. Year].

Modify access date.

. .

#### Scientific Online Calculator 6 24