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18.14: Historical Counting

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1. Partial answer: Jars: 3 singles, 3 @ $$x3, 2$$ @ $$x6, 1$$ @ $$x12. 3+9+12+12 = 36$$

3. $$113$$

5. $$3022$$

7. $$53$$

9. $$1100100$$

11. $$332$$

13. $$111100010$$

15. 7,1,10 base $$12=1030$$ base 10

17. 6,4,2 base $$12=914$$ base 10

19. 175 base $$10=1,2,7$$ base $$12=$$

21. 10000 base $$10=5,9,5,4$$ base $$12=$$

23. $$135=6,15$$ base $$20=$$

25. $$360=18,0$$ base $$20=$$

27. $$10500=1,6,5,0$$ base 20

29. 1,2,12 base $$20=452$$ base 10

31. 3,0,3 base $$20=1203$$ base 10

33. $$32+11=1,12_{20}+11_{20}=1,23_{20}=2,3_{20}=43$$

35. $$35+148=1,15_{20}+7,8_{20}=8,23_{20}=9,320=183$$

37. $$450+844=1,2,10_{20}+2,2,4_{20}=3,4,14_{20}=1294$$

18.14: Historical Counting is shared under a CC BY-SA 3.0 license and was authored, remixed, and/or curated by David Lippman via source content that was edited to conform to the style and standards of the LibreTexts platform; a detailed edit history is available upon request.