Mathematical English (a brief summary)

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1、MathematicalEnglish(abriefsummary)JanNekov´aˇrUniversit´eParis6cJanNekov´aˇr20111ArithmeticIntegers0zero10ten20twenty1one11eleven30thirty2two12twelve40forty3three13thirteen50fifty4four14fourteen60sixty5five15fifteen70seventy6six16sixteen80eighty7seven17seventeen90ninety8eight18eightee

2、n100onehundred9nine19nineteen1000onethousand−245minustwohundredandforty-five22731twenty-twothousandsevenhundredandthirty-one1000000onemillion56000000fifty-sixmillion1000000000onebillion[USusage,nowuniversal]7000000000sevenbillion[USusage,nowuniversal]1000000000000onetrillion[USusage,n

3、owuniversal]3000000000000threetrillion[USusage,nowuniversal]Fractions[=RationalNumbers]1onehalf3threeeighths281onethird26twenty-sixninths391onequarter[=onefourth]−5minusfivethirty-fourths4341onefifth23twoandthreesevenths57−1minusoneseventeenth17RealNumbers−0.067minusnoughtpointzerosix

4、seven81.59eighty-onepointfivenine−2.3·106minustwopointthreetimestentothesix[=−2300000minustwomillionthreehundredthousand]4·10−3fourtimestentotheminusthree[=0.004=4/1000fourthousandths]π[=3.14159...]pi[pronouncedas‘pie’]e[=2.71828...]e[baseofthenaturallogarithm]2ComplexNumbersii3+4ithr

5、eeplusfouri1−2ioneminustwoi1−2i=1+2ithecomplexconjugateofoneminustwoiequalsoneplustwoiTherealpartandtheimaginarypartof3+4iareequal,respectively,to3and4.BasicarithmeticoperationsAddition:3+5=8threeplusfiveequals[=isequalto]eightSubtraction:3−5=−2threeminusfiveequals[=...]minustwoMultip

6、lication:3·5=15threetimesfiveequals[=...]fifteenDivision:3/5=0.6threedividedbyfiveequals[=...]zeropointsix(2−3)·6+1=−5twominusthreeinbracketstimessixplusoneequalsminusfive1−3=−1/3oneminusthreeovertwoplusfourequalsminusonethird2+44![=1·2·3·4]fourfactorialExponentiation,Roots52[=5·5=25]

7、fivesquared53[=5·5·5=125]fivecubed54[=5·5·5·5=625]fivetothe(powerof)four5−1[=1/5=0.2]fivetotheminusone5−2[=1/52=0.04]fivetotheminustwo√3[=1.73205...]thesquarerootofthree√364[=4]thecuberootofsixtyfour√532[=2]thefifthrootofthirtytwo√Inthecomplexdomainthenotationnaisambiguous,sinceanynon

8、-zero