# Standard Form, Scientific and Engineering Notation

## Writing of numbers

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### 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 10 ^{4 }*

* 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 10 ^{3} = 0.043712 10^{6 } *

* 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 10 ^{3} J = 4700 J *

*8 MV = 8 10 ^{6} V = 8000000 V*

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