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Exponential function for negative x is defined by EXP(-x) = e-x, where e is the constant 2.718... (see Math Constants).
- You need to find the e-2.51
- Find the row with x = 2.5
- Find the column 1, the number inside the cell is .081268
See How To Read Numbers in Tables.
- The result is 0.081268
| x | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
| 0.0 | 1.00000 | .990050 | .980199 | .970446 | .960789 | .951229 | .941765 | .932394 | .923116 | .913931 |
| 0.1 | .904837 | .895834 | .886920 | .878095 | .869358 | .860708 | .852144 | .843665 | .835270 | .826959 |
| 0.2 | .818731 | .810584 | .802519 | .794534 | .786628 | .778801 | .771052 | .763379 | .755784 | .748264 |
| 0.3 | .740818 | .733447 | .726149 | .718924 | .711770 | .704688 | .697676 | .690734 | .683861 | .677057 |
| 0.4 | .670320 | .663650 | .657047 | .650509 | .644036 | .637628 | .631284 | .625002 | .618783 | .612626 |
| 0.5 | .606531 | .600496 | .594521 | .588605 | .582748 | .576950 | .571209 | .565525 | .559898 | .554327 |
| 0.6 | .548812 | .543351 | .537944 | .532592 | .527292 | .522046 | .516851 | .511709 | .506617 | .501576 |
| 0.7 | .496585 | .491644 | .486752 | .481909 | .477114 | .472367 | .467666 | .463013 | .458406 | .453845 |
| 0.8 | .449329 | .444858 | .440432 | .436049 | .431711 | .427415 | .423162 | .418952 | .414783 | .410656 |
| 0.9 | .406570 | .402524 | .398519 | .394554 | .390628 | .386741 | .382893 | .379083 | .375311 | .371577 |
| N | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
| 1.0 | .367879 | .364219 | .360595 | .357007 | .353455 | .349938 | .346456 | .343009 | .339596 | .336216 |
| 1.1 | .332871 | .329559 | .326280 | .323033 | .319819 | .316637 | .313486 | .310367 | .307279 | .304221 |
| 1.2 | .301194 | .298197 | .295230 | .292293 | .289384 | .286505 | .283654 | .280832 | .278037 | .275271 |
| 1.3 | .272532 | .269820 | .267135 | .264477 | .261846 | .259240 | .256661 | .254107 | .251579 | .249075 |
| 1.4 | .246597 | .244143 | .241714 | .239309 | .236928 | .234570 | .232236 | .229925 | .227638 | .225373 |
| 1.5 | .223130 | .220910 | .218712 | .216536 | .214381 | .212248 | .210136 | .208045 | .205975 | .203926 |
| 1.6 | .201897 | .199888 | .197899 | .195930 | .193980 | .192050 | .190139 | .188247 | .186374 | .184520 |
| 1.7 | .182684 | .180866 | .179066 | .177284 | .175520 | .173774 | .172045 | .170333 | .168638 | .166960 |
| 1.8 | .165299 | .163654 | .162026 | .160414 | .158817 | .157237 | .155673 | .154124 | .152590 | .151072 |
| 1.9 | .149569 | .148080 | .146607 | .145148 | .143704 | .142274 | .140858 | .139457 | .138069 | .136695 |
| N | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
| 2.0 | .135335 | .133989 | .132655 | .131336 | .130029 | .128735 | .127454 | .126186 | .124930 | .123687 |
| 2.1 | .122456 | .121238 | .120032 | .118837 | .117655 | .116484 | .115325 | .114178 | .113042 | .111917 |
| 2.2 | .110803 | .109701 | .108609 | .107528 | .106459 | .105399 | .104350 | .103312 | .102284 | .101266 |
| 2.3 | .100259 | .099261 | .098274 | .097296 | .096328 | .095369 | .094420 | .093481 | .092551 | .091630 |
| 2.4 | .090718 | .089815 | .088922 | .088037 | .087161 | .086294 | .085435 | .084585 | .083743 | .082910 |
| 2.5 | .082085 | .081268 | .080460 | .079659 | .078866 | .078082 | .077305 | .076536 | .075774 | .075020 |
| 2.6 | .074274 | .073535 | .072803 | .072078 | .071361 | .070651 | .069948 | .069252 | .068563 | .067881 |
| 2.7 | .067206 | .066537 | .065875 | .065219 | .064570 | .063928 | .063292 | .062662 | .062039 | .061421 |
| 2.8 | .060810 | .060205 | .059606 | .059013 | .058426 | .057844 | .057269 | .056699 | .056135 | .055576 |
| 2.9 | .055023 | .054476 | .053934 | .053397 | .052866 | .052340 | .051819 | .051303 | .050793 | .050287 |
| N | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
| 3.0 | .049787 | .049292 | .048801 | .048316 | .047835 | .047359 | .046888 | .046421 | .045959 | .045502 |
| 3.1 | .045049 | .044601 | .044157 | .043718 | .043283 | .042852 | .042426 | .042004 | .041586 | .041172 |
| 3.2 | .040762 | .040357 | .039955 | .039557 | .039164 | .038774 | .038388 | .038006 | .037628 | .037254 |
| 3.3 | .036883 | .036516 | .036153 | .035793 | .035437 | .035084 | .034735 | .034390 | .034047 | .033709 |
| 3.4 | .033373 | .033041 | .032712 | .032387 | .032065 | .031746 | .031430 | .031117 | .030807 | .030501 |
| 3.5 | .030197 | .029897 | .029599 | .029305 | .029013 | .028725 | .028439 | .028156 | .027876 | .027598 |
| 3.6 | .027324 | .027052 | .026783 | .026516 | .026252 | .025991 | .025733 | .025476 | .025223 | .024972 |
| 3.7 | .024724 | .024478 | .024234 | .023993 | .023754 | .023518 | .023284 | .023052 | .022823 | .022596 |
| 3.8 | .022371 | .022148 | .021928 | .021710 | .021494 | .021280 | .021068 | .020858 | .020651 | .020445 |
| 3.9 | .020242 | .020041 | .019841 | .019644 | .019448 | .019255 | .019063 | .018873 | .018686 | .018500 |
| N | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
| 4.0 | .018316 | .018133 | .017953 | .017774 | .017597 | .017422 | .017249 | .017077 | .016907 | .016739 |
| 4.1 | .016573 | .016408 | .016245 | .016083 | .015923 | .015764 | .015608 | .015452 | .015299 | .015146 |
| 4.2 | .014996 | .014846 | .014699 | .014552 | .014408 | .014264 | .014122 | .013982 | .013843 | .013705 |
| 4.3 | .013569 | .013434 | .013300 | .013168 | .013037 | .012907 | .012778 | .012651 | .012525 | .012401 |
| 4.4 | .012277 | .012155 | .012034 | .011914 | .011796 | .011679 | .011562 | .011447 | .011333 | .011221 |
| 4.5 | .011109 | .010998 | .010889 | .010781 | .010673 | .010567 | .010462 | .010358 | .010255 | .010153 |
| 4.6 | .010052 | 3z99518 | 3z98528 | 3z97548 | 3z96577 | 3z95616 | 3z94665 | 3z93723 | 3z92790 | 3z91867 |
| 4.7 | 3z90953 | 3z90048 | 3z89152 | 3z88265 | 3z87386 | 3z86517 | 3z85656 | 3z84804 | 3z83960 | 3z83125 |
| 4.8 | 3z82297 | 3z81479 | 3z80668 | 3z79865 | 3z79071 | 3z78284 | 3z77505 | 3z76734 | 3z75970 | 3z75214 |
| 4.9 | 3z74466 | 3z73725 | 3z72991 | 3z72265 | 3z71546 | 3z70834 | 3z70129 | 3z69431 | 3z68741 | 3z68057 |
| N | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
| 5.0 | 3z67379 | 3z66709 | 3z66045 | 3z65388 | 3z64737 | 3z64093 | 3z63456 | 3z62824 | 3z62199 | 3z61580 |
| 5.1 | 3z60967 | 3z60361 | 3z59760 | 3z59166 | 3z58577 | 3z57994 | 3z57417 | 3z56846 | 3z56280 | 3z55720 |
| 5.2 | 3z55166 | 3z54617 | 3z54073 | 3z53535 | 3z53003 | 3z52475 | 3z51953 | 3z51436 | 3z50924 | 3z50418 |
| 5.3 | 3z49916 | 3z49419 | 3z48928 | 3z48441 | 3z47959 | 3z47482 | 3z47009 | 3z46541 | 3z46078 | 3z45620 |
| 5.4 | 3z45166 | 3z44716 | 3z44271 | 3z43831 | 3z43395 | 3z42963 | 3z42536 | 3z42112 | 3z41693 | 3z41278 |
| 5.5 | 3z40868 | 3z40461 | 3z40058 | 3z39660 | 3z39265 | 3z38875 | 3z38488 | 3z38105 | 3z37726 | 3z37350 |
| 5.6 | 3z36979 | 3z36611 | 3z36246 | 3z35886 | 3z35529 | 3z35175 | 3z34825 | 3z34479 | 3z34136 | 3z33796 |
| 5.7 | 3z33460 | 3z33127 | 3z32797 | 3z32471 | 3z32148 | 3z31828 | 3z31511 | 3z31198 | 3z30887 | 3z30580 |
| 5.8 | 3z30276 | 3z29974 | 3z29676 | 3z29381 | 3z29088 | 3z28799 | 3z28512 | 3z28229 | 3z27948 | 3z27670 |
| 5.9 | 3z27394 | 3z27122 | 3z26852 | 3z26585 | 3z26320 | 3z26058 | 3z25799 | 3z25542 | 3z25288 | 3z25037 |
| N | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
| 6.0 | 3z24788 | 3z24541 | 3z24297 | 3z24055 | 3z23816 | 3z23579 | 3z23344 | 3z23112 | 3z22882 | 3z22654 |
| 6.1 | 3z22429 | 3z22206 | 3z21985 | 3z21766 | 3z21549 | 3z21335 | 3z21123 | 3z20912 | 3z20704 | 3z20498 |
| 6.2 | 3z20294 | 3z20092 | 3z19892 | 3z19695 | 3z19499 | 3z19305 | 3z19112 | 3z18922 | 3z18734 | 3z18548 |
| 6.3 | 3z18363 | 3z18180 | 3z17999 | 3z17820 | 3z17643 | 3z17467 | 3z17294 | 3z17122 | 3z16951 | 3z16783 |
| 6.4 | 3z16616 | 3z16450 | 3z16287 | 3z16125 | 3z15964 | 3z15805 | 3z15648 | 3z15492 | 3z15338 | 3z15185 |
| 6.5 | 3z15034 | 3z14885 | 3z14737 | 3z14590 | 3z14445 | 3z14301 | 3z14159 | 3z14018 | 3z13878 | 3z13740 |
| 6.6 | 3z13604 | 3z13468 | 3z13334 | 3z13202 | 3z13070 | 3z12940 | 3z12811 | 3z12684 | 3z12558 | 3z12433 |
| 6.7 | 3z12309 | 3z12187 | 3z12065 | 3z11945 | 3z11826 | 3z11709 | 3z11592 | 3z11477 | 3z11363 | 3z11250 |
| 6.8 | 3z11138 | 3z11027 | 3z10917 | 3z10809 | 3z10701 | 3z10595 | 3z10489 | 3z10385 | 3z10281 | 3z10179 |
| 6.9 | 3z10078 | 4z99776 | 4z98783 | 4z97800 | 4z96827 | 4z95864 | 4z94910 | 4z93965 | 4z93030 | 4z92105 |
| N | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
| 7.0 | 4z91188 | 4z90281 | 4z89383 | 4z88493 | 4z87613 | 4z86741 | 4z85878 | 4z85023 | 4z84177 | 4z83340 |
| 7.1 | 4z82510 | 4z81689 | 4z80877 | 4z80072 | 4z79275 | 4z78486 | 4z77705 | 4z76932 | 4z76167 | 4z75409 |
| 7.2 | 4z74659 | 4z73916 | 4z73180 | 4z72452 | 4z71731 | 4z71017 | 4z70311 | 4z69611 | 4z68919 | 4z68233 |
| 7.3 | 4z67554 | 4z66882 | 4z66216 | 4z65557 | 4z64905 | 4z64259 | 4z63620 | 4z62987 | 4z62360 | 4z61740 |
| 7.4 | 4z61125 | 4z60517 | 4z59915 | 4z59319 | 4z58729 | 4z58144 | 4z57566 | 4z56993 | 4z56426 | 4z55864 |
| 7.5 | 4z55308 | 4z54758 | 4z54213 | 4z53674 | 4z53140 | 4z52611 | 4z52088 | 4z51569 | 4z51056 | 4z50548 |
| 7.6 | 4z50045 | 4z49547 | 4z49054 | 4z48566 | 4z48083 | 4z47604 | 4z47131 | 4z46662 | 4z46197 | 4z45738 |
| 7.7 | 4z45283 | 4z44832 | 4z44386 | 4z43944 | 4z43507 | 4z43074 | 4z42646 | 4z42221 | 4z41801 | 4z41385 |
| 7.8 | 4z40973 | 4z40566 | 4z40162 | 4z39763 | 4z39367 | 4z38975 | 4z38587 | 4z38203 | 4z37823 | 4z37447 |
| 7.9 | 4z37074 | 4z36705 | 4z36340 | 4z35979 | 4z35621 | 4z35266 | 4z34915 | 4z34568 | 4z34224 | 4z33883 |
| N | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
| 8.0 | 4z33546 | 4z33212 | 4z32882 | 4z32555 | 4z32231 | 4z31910 | 4z31593 | 4z31278 | 4z30967 | 4z30659 |
| 8.1 | 4z30354 | 4z30052 | 4z29753 | 4z29457 | 4z29164 | 4z28874 | 4z28586 | 4z28302 | 4z28020 | 4z27741 |
| 8.2 | 4z27465 | 4z27192 | 4z26922 | 4z26654 | 4z26388 | 4z26126 | 4z25866 | 4z25609 | 4z25354 | 4z25101 |
| 8.3 | 4z24852 | 4z24604 | 4z24360 | 4z24117 | 4z23877 | 4z23640 | 4z23404 | 4z23172 | 4z22941 | 4z22713 |
| 8.4 | 4z22487 | 4z22263 | 4z22041 | 4z21822 | 4z21605 | 4z21390 | 4z21177 | 4z20966 | 4z20758 | 4z20551 |
| 8.5 | 4z20347 | 4z20144 | 4z19944 | 4z19745 | 4z19549 | 4z19355 | 4z19162 | 4z18971 | 4z18782 | 4z18596 |
| 8.6 | 4z18411 | 4z18227 | 4z18046 | 4z17866 | 4z17689 | 4z17513 | 4z17338 | 4z17166 | 4z16995 | 4z16826 |
| 8.7 | 4z16659 | 4z16493 | 4z16329 | 4z16166 | 4z16005 | 4z15846 | 4z15688 | 4z15532 | 4z15378 | 4z15225 |
| 8.8 | 4z15073 | 4z14923 | 4z14775 | 4z14628 | 4z14482 | 4z14338 | 4z14196 | 4z14054 | 4z13914 | 4z13776 |
| 8.9 | 4z13639 | 4z13503 | 4z13369 | 4z13236 | 4z13104 | 4z12974 | 4z12845 | 4z12717 | 4z12590 | 4z12465 |
| N | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
| 9.0 | 4z12341 | 4z12218 | 4z12097 | 4z11976 | 4z11857 | 4z11739 | 4z11622 | 4z11507 | 4z11392 | 4z11279 |
| 9.1 | 4z11167 | 4z11055 | 4z10945 | 4z10837 | 4z10729 | 4z10622 | 4z10516 | 4z10412 | 4z10308 | 4z10205 |
| 9.2 | 4z10104 | 4z10003 | 5z99039 | 5z98053 | 5z97078 | 5z96112 | 5z95155 | 5z94209 | 5z93271 | 5z92343 |
| 9.3 | 5z91424 | 5z90515 | 5z89614 | 5z88722 | 5z87839 | 5z86965 | 5z86100 | 5z85243 | 5z84395 | 5z83555 |
| 9.4 | 5z82724 | 5z81901 | 5z81086 | 5z80279 | 5z79480 | 5z78690 | 5z77907 | 5z77131 | 5z76364 | 5z75604 |
| 9.5 | 5z74852 | 5z74107 | 5z73370 | 5z72640 | 5z71917 | 5z71201 | 5z70493 | 5z69791 | 5z69097 | 5z68409 |
| 9.6 | 5z67729 | 5z67055 | 5z66388 | 5z65727 | 5z65073 | 5z64426 | 5z63785 | 5z63150 | 5z62522 | 5z61899 |
| 9.7 | 5z61283 | 5z60674 | 5z60070 | 5z59472 | 5z58881 | 5z58295 | 5z57715 | 5z57140 | 5z56572 | 5z56009 |
| 9.8 | 5z55452 | 5z54900 | 5z54354 | 5z53813 | 5z53277 | 5z52747 | 5z52222 | 5z51703 | 5z51188 | 5z50679 |
| 9.9 | 5z50175 | 5z49675 | 5z49181 | 5z48692 | 5z48207 | 5z47728 | 5z47253 | 5z46783 | 5z46317 | 5z45856 |
| 10.0 | 5z45400 | 5z44948 | 5z44501 | 5z44058 | 5z43620 | 5z43186 | 5z42756 | 5z42331 | 5z41909 | 5z41492 |
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