ࡱ> :<9 9bjbjO O 7$-a-a9 00 <AAAUWWWWWW$|{A"AAA{9   AU AU    )W. A0   4AA AAAAA{{=AAAAAAAAAAAAAAAA0 P: Roman Numerals The Romans were active in trade and commerce, and from the time of learning to write they needed a way to indicate numbers. The system they developed lasted many centuries, and still sees some specialized use today. Roman numerals traditionally indicate the order of rulers or ships that share the same name (i.e. Queen Elizabeth II). They are also sometimes still used in the publishing industry for copyright dates, and on cornerstones and gravestones when the owner of a building or the family of the deceased wishes to create an impression of classical dignity. The Roman numbering system also lives on in our languages, which still use Latin word roots to express numerical ideas. A few examples: unilateral, duo, quadriceps, septuagenarian, decade, and milliliter. The big differences between Roman and Hindu-Arabic numerals (the ones we use today) are that Romans didn't have a symbol for zero, and that numeral placement within a number can sometimes indicate subtraction rather than addition. Here are the basics: PRIVATEIThe easiest way to note down a number is to make that many marks - little Is. Thus I means 1, II means 2, III means 3. However, four strokes seemed like too many....VSo the Romans moved on to the symbol for 5 - V. Placing I in front of the V or placing any smaller number in front of any larger number indicates subtraction. So IV means 4. After V comes a series of additions - VI means 6, VII means 7, VIII means 8. XX means 10. But wait what about 9? Same deal. IX means to subtract I from X, leaving 9. Numbers in the teens, twenties and thirties follow the same form as the first set, only with X's indicating the number of tens. So XXXI is 31, and XXIV is 24.LL means 50. Based on what you've learned, I bet you can figure out what 40 is. If you guessed XL, you're right = 10 subtracted from 50. And thus 60, 70, and 80 are LX, LXX and LXXX.CC stands for centum, the Latin word for 100. A centurion led 100 men. We still use this in words like "century" and "cent." The subtraction rule means 90 is written as XC. Like the X's and L's, the C's are tacked on to the beginning of numbers to indicate how many hundreds there are: CCCLXIX is 369.DD stands for 500. As you can probably guess by this time, CD means 400. So CDXLVIII is 448. (See why we switched systems?)MM is 1,000. You see a lot of Ms because Roman numerals are often used to indicate dates. For instance, this page was written in the year 2015 CE (Common Era; Christians use AD for Anno Domini, "year of our Lord"). 2015 would be written as MMXV in Roman numerals!   : @       I i }~+,KLit!49Ҽhp=Mh*U6h h*U6hp=M h*UCJ0jh*UU h*Ujh*UU h*UCJ hp=MCJ h*UCJh*Ujh UmHnHu-   lkdd$$IfK0!04 KaK$If` $Iflkd$$IfK0!04 KaK|$Iflkd$$IfK0!04 KaK|}$Iflkd&$$IfK0!04 KaK*$Iflkd$$IfK0!04 KaK*+-6 $Ifgdp=M$IflkdR$$IfK0!04 KaK6789lkd$$IfK0!04 KaK50P/ =!"#$% DpdD!KEEmEE0!|E0!{vE0!@}E0!@}HE 0!{E  0![3E  0!|E0!{$$IfK!vh#v#v:V K0,5544 KaK$$IfK!vh#v#v:V K0,5544 KaK$$IfK!vh#v#v:V K0,5544 KaK$$IfK!vh#v#v:V K0,5544 KaK$$IfK!vh#v#v:V K0,5544 KaK$$IfK!vh#v#v:V K0,5544 KaK$$IfK!vh#v#v:V K0,5544 KaK^ 2 0@P`p2( 0@P`p 0@P`p 0@P`p 0@P`p 0@P`p 0@P`p8XV~_HmH nH sH tH 8`8 Normal_HmH sH tH 8@8  Heading 1$@&CJ DA D Default Paragraph FontVi@V  Table Normal :V 44 la (k (No List HC@H Body Text Indent `CJ4>@4 Title$a$>*CJ0PK![Content_Types].xmlN0EH-J@%ǎǢ|ș$زULTB l,3;rØJB+$G]7O٭V$ !)O^rC$y@/yH*񄴽)޵߻UDb`}"qۋJחX^)I`nEp)liV[]1M<OP6r=zgbIguSebORD۫qu gZo~ٺlAplxpT0+[}`jzAV2Fi@qv֬5\|ʜ̭NleXdsjcs7f W+Ն7`g ȘJj|h(KD- dXiJ؇(x$( :;˹! I_TS 1?E??ZBΪmU/?~xY'y5g&΋/ɋ>GMGeD3Vq%'#q$8K)fw9:ĵ x}rxwr:\TZaG*y8IjbRc|XŻǿI u3KGnD1NIBs RuK>V.EL+M2#'fi ~V vl{u8zH *:(W☕ ~JTe\O*tHGHY}KNP*ݾ˦TѼ9/#A7qZ$*c?qUnwN%Oi4 =3N)cbJ uV4(Tn 7_?m-ٛ{UBwznʜ"Z xJZp; {/<P;,)''KQk5qpN8KGbe Sd̛\17 pa>SR! 3K4'+rzQ TTIIvt]Kc⫲K#v5+|D~O@%\w_nN[L9KqgVhn R!y+Un;*&/HrT >>\ t=.Tġ S; Z~!P9giCڧ!# B,;X=ۻ,I2UWV9$lk=Aj;{AP79|s*Y;̠[MCۿhf]o{oY=1kyVV5E8Vk+֜\80X4D)!!?*|fv u"xA@T_q64)kڬuV7 t '%;i9s9x,ڎ-45xd8?ǘd/Y|t &LILJ`& -Gt/PK! ѐ'theme/theme/_rels/themeManager.xml.relsM 0wooӺ&݈Э5 6?$Q ,.aic21h:qm@RN;d`o7gK(M&$R(.1r'JЊT8V"AȻHu}|$b{P8g/]QAsم(#L[PK-![Content_Types].xmlPK-!֧6 0_rels/.relsPK-!kytheme/theme/themeManager.xmlPK-!0C)theme/theme/theme1.xmlPK-! ѐ' theme/theme/_rels/themeManager.xml.relsPK] 9 $9  |*69 8@(  V  3  #" `?B S  ?9 $*t+ 3 ; sx 5 ; 33:@hiK L i o s t      4 5 5 6 6 8 ; :@hiK L i o s t      4 5 5 6 6 8 8 ;  .p=M{*Uv9 ; @ 4 4 4 4 @{9 @UnknownG*Ax Times New Roman5Symbol3. *Cx ArialA$BCambria Math"hj*1'1!244 4 3HX ?.2!xx Roman NumeralsMedford Schools Windows UserOh+'0 ( H T ` lxRoman NumeralsMedford SchoolsNormalWindows User8Microsoft Office Word@f`@UI@@v{@V-)՜.+,0 hp|   4  Roman Numerals Title  !"#$%&'(*+,-./02345678;Root Entry Fp- )=Data 1TableWordDocument7$SummaryInformation()DocumentSummaryInformation81CompObjr  F Microsoft Word 97-2003 Document MSWordDocWord.Document.89q