1. 1 Ancient Numeration Systems Thank you Dr. Wyatt

2. 2 Early man’s number concepts onetwo many

3. 3 Egyptian Numeration 1 10 100 1000 10,000 100,000 1,000,000 vertical staff heel bone coiled rope or scroll lotus flower pointing finger fish an astonished man

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

5. 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. 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. 7 Roman numerals ≥ 4000 IV4000 VI6000 XI11000 XX20,000 XIIICD13,400 XXVIIILX28,060

8. 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. 9 Half of 12 is 7 XII

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

11. 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. 12   ’ Greek Numeration 57  δ’ δ’ 380   α’  α’ 738 604 861 τ π’  ’   ’ 57  δ’ δ’ 380   α’  α’ 738 604 861 τ π’  ’

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

14. 14 Mayan numerals 1 3 2 7 4 5 6 8 9 10 11 12 13 14

15. 15 Mayan numerals 23 24 25 19 15 16 17 18 20 21 22 26

16. 16 Counting by tens 10 20 30 40 50 60 70 80 90 100 110 120

17. 17 How many thousands How many hundreds How many tens How many ones 10 x 10 x 1010 x 10101 How many 20 x 18 x 20 How many 18 x 20 How many 20 How many ones 3 7 5 2 7200 360 20 1

18. 18 Mayan numerals 3769131 55 2 x 20 15 x 1 5 x 20 0 x 1 12 x 20 4 x 1 100244

19. 19 Mayan numerals 188275532 334 939 1097 16 x 20 14 x 1 2 x 360 10 x 20 19 x 1 3 x 360 0 x 20 17 x 1

20. 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. 21 Babylonian Numeration 61 = 64 = 72 = 96 = 60 =

22. 22 151 = 250 = 383 = 674 = 2527 = Babylonian Numeration

23. 23 Review of numeration systems

24. 24 419 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. 25 Mayan numerals 833451398 191 911 1803 9 x 20 11 x 1 2 x 360 9 x 20 11 x 1 5 x 360 0 x 20 3 x 1

26. 26 Babylonian Numerals 173 304 892 1401 3016

27. 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