18.14: Historical Counting

Math in Society · LibreTexts

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    From LibreTexts, under CC BY-SA 3.0, as the source states it; its equations are written in TeX, which the PDF shows typeset. This page at LibreTexts.

    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 \(12=\)clipboard_e3b08a678aad9aa453acee9507e89e1dc.png

    21. 10000 base \(10=5,9,5,4\) base \(12=\) clipboard_eabf062c0fe6e87914f5016d4e6288307.png

    23. \(135=6,15\) base \(20=\)clipboard_ea43fbfa8342f95aa3047371e1eef834a.png

    25. \(360=18,0\) base \(20=\)clipboard_ec33f42587b80e5e757f8bb7ddf74f779.png

    27. \(10500=1,6,5,0\) base 20 clipboard_e0c0e246f276705f7115e699f3d312667.png

    29. 1,2,12 base \(20=452\) base 10

    31. 3,0,3 base \(20=1203\) base 10

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

    clipboard_e69975d72d75f98a3d2f99c5c06094ff8.png

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

    clipboard_e30ef9f745fe1a4983c262375034921a0.png

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

    clipboard_e8597bd05fbcb25624d0372ac0bb10db0.png

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