1 Ancient Numeration Systems Thank you Dr. Wyatt

2 Early man’s number concepts onetwo many

3 Egyptian Numeration , ,000 1,000,000 vertical staff heel bone coiled rope or scroll lotus flower pointing finger fish an astonished man

4 Roman numerals 1I 10X 100C 1000M 5V 50L 500D

5 ones I II III IV V VI VII VIII IX X XI XII tens X XX XXX XL L LX LXX LXXX XC C CX CXX hundreds C CC CCC CD D DC DCC DCCC CM M MC MCC thousands M MM MMM V VII IX XI

6 The subtractive principle IXC M V L D I is only subtracted from V and X X is only subtracted from L and C C is only subtracted from D and M

7 Roman numerals ≥ 4000 IV4000 VI6000 XI11000 XX20,000 XIIICD13,400 XXVIIILX28,060

8 79 MDIII 404 CDXCV 9059 MMLXIX 7926 CMLXXXVII Write the missing numeral 491 CCIX 862 DCCLXXIV 1095 CDXLVIII 2984 MCMXCII CDXCI 209 DCCCLXII 774 MXCV 448 MMCMLXXXIV 1992 LXXIX 1503 CDIV 495 IXLIX 2069 VIICMXXVI 987

9 Half of 12 is 7 XII

10 How can you take one from 19 and get 20? X I X

11 Greek numerals α alpha ß beta  gamma δ delta ε epsilon  zeta  eta  theta  iota  kappa lambda  mu nu  xi  omicron π pi  rho  sigma τ tau  upsilon  phi  chi  psi  omega

12   ’ Greek Numeration 57  δ’ δ’ 380   α’  α’ τ π’  ’   ’ 57  δ’ δ’ 380   α’  α’ τ π’  ’

13 Chinese-Japanese Chinese pronunciation of number names 1yee6ly 2uhr7chee 3sahn8bah 4suh9jo 5woo10shur

14 Mayan numerals

15 Mayan numerals

16 Counting by tens

17 How many thousands How many hundreds How many tens How many ones 10 x 10 x 1010 x How many 20 x 18 x 20 How many 18 x 20 How many 20 How many ones

18 Mayan numerals x x 1 5 x 20 0 x 1 12 x 20 4 x

19 Mayan numerals x x 1 2 x x x 1 3 x x x 1

20 Babylonian Numeration From 1 to 59, each number was written by the Babylonians with the same structure as the Egyptians wrote it. 14 = 32 = 55 =

21 Babylonian Numeration 61 = 64 = 72 = 96 = 60 =

= 250 = 383 = 674 = 2527 = Babylonian Numeration

23 Review of numeration systems

CMLXVI 1890 MMDCIX 4095 IXXLVIII 7926 CMLXXXIV Write the missing numeral 147 CDLXXXII 664 MCMVIII 937 MMDCLXXIV 7049 XDXC CXLVII 482 DCLXIV 1908 CMXXXVII 2674 VIIXLIX 10,590 CDXIX 966 MDCCCXC 2609 IVXCV 9048 VIICMXXVI 984

25 Mayan numerals x x 1 2 x x x 1 5 x x 20 3 x 1

26 Babylonian Numerals

27 You can’t teach what you don’t know any more than you can come back from where you ain’t been. - Will Rogers