Significant figures Scientific notation

-


a significant figure digit in number adds precision. includes nonzero numbers, zeroes between significant digits, , zeroes indicated significant. leading , trailing zeroes not significant because exist show scale of number. therefore, 1,230,400 has 5 significant figures: 1, 2, 3, 0, , 4; final 2 zeroes serve placeholders , add no precision original number.


when number converted normalized scientific notation, scaled down number between 1 , 10. of significant digits remain, place holding zeroes no longer required. 1,230,400 become 1.2304 × 10. however, there possibility number may known 6 or more significant figures, in case number shown (for instance) 1.23040 × 10. thus, additional advantage of scientific notation number of significant figures clearer.


estimated final digit(s)

it customary in scientific measurements record known digits measurements, , estimate @ least 1 additional digit if there information @ available enable observer make estimate. resulting number contains more information without digit(s), , (or they) may considered significant digit because conveys information leading greater precision in measurements , in aggregations of measurements (adding them or multiplying them together).


additional information precision can conveyed through additional notations. useful know how exact final digit(s) are. instance, accepted value of unit of elementary charge can expressed 6981160217662079999♠1.6021766208(98)×10 c, shorthand 6981160217662079999♠(1.6021766208±0.0000000098)×10 c.








Comments

Post a Comment

Popular posts from this blog

Independence United Arab Emirates

-
historic photo depicting first hoisting of united arab emirates flag rulers of emirates @ union house, dubai on 2nd of december 1971. zayed bin sultan al nahyan first president of united arab emirates , recognized father of nation. by 1966, had become clear british government no longer afford administer , protect united arab emirates. british mps debated preparedness of royal navy defend sheikhdoms. secretary of state defence denis healey reported british armed forces overstretched , in respects dangerously under-equipped defend sheikhdoms. on 24 january 1968, british prime minister harold wilson announced government s decision, reaffirmed in march 1971 prime minister edward heath end treaty relationships 7 trucial sheikhdoms, had been, bahrain , qatar, under british protection. days after announcement, ruler of abu dhabi, sheikh zayed bin sultan al nahyan, fearing vulnerability, tried persuade british honour protection treaties offering pay full costs of keeping british armed forces i
Read more

History Alexandra College

-
alexandra college (on right) circa 1890 the school founded in 1866 , takes name princess alexandra of denmark, school s patron. school colours, red , white, adopted danish flag in honour. alexandra college founded anne jellicoe, quaker educationist, in name of furthering women s education. under anne jellicoe, school grew small establishment focused on providing governess-style education irish protestant ladies pioneering force women s rights , education, providing education women equivalent available in boys schools, grounding in mathematics, history, classics , philosophy. alexandra settled role, anne jellicoe convinced major obstacle liberal education of women exclusion university campus. passionately believed until women admitted trinity college dublin (founded in 1592), voice of women not commonly heard in politics, literature or in academic debate. the royal university of ireland act 1879 allowed females take university degrees on same basis males. students prepared examination
Read more

Management School of Computer Science, University of Manchester

-
^ anon (2010). dai edwards: helping turing use manchester mark 1 . www.bl.uk. british library.  ^ anon (2014). voices of science: david dai edwards. born david beverley george edwards, 1928 . www.bl.uk. british library. archived original on 2014-01-16.  ^ kilburn, t. (1951). new universal digital computing machine @ university of manchester . nature. 168 (4264): 95. doi:10.1038/168095a0.  ^ lavington, simon (2001). obituary: tom kilburn (1921–2001) . nature. 409 (6823): 996. doi:10.1038/35059201. pmid 11241994. 
Read more