Normalized notation Scientific notation

any given integer can written in form m×10^ in many ways: example, 350 can written 7002350000000000000♠3.5×10 or 7002350000000000000♠35×10 or 7002350000000000000♠350×10.

in normalized scientific notation (called standard form in uk), exponent n chosen absolute value of m remains @ least 1 less ten (1 ≤ |m| < 10). 350 written 7002350000000000000♠3.5×10. form allows easy comparison of numbers, exponent n gives number s order of magnitude. in normalized notation, exponent n negative number absolute value between 0 , 1 (e.g. 0.5 written 6999500000000000000♠5×10). 10 , exponent omitted when exponent 0.

normalized scientific form typical form of expression of large numbers in many fields, unless unnormalized form, such engineering notation, desired. normalized scientific notation called exponential notation—although latter term more general , applies when m not restricted range 1 10 (as in engineering notation instance) , bases other 10 (as in 3.15×2^).