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3. a) Translate the following number written in our numeration system into Babylonian's numeration system. (Show work.) 8,752

1 Answer

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Answer: 2 25 52

Step-by-step explanation: They used a base of 60

from right to left a.60⁰, b.60¹, c.60², etc.

As 60³ = 216000 > 8752, we should start with 60².

As 60² = 3600, 8752/3600 = 2,43, we use 2.60²

8752 - 2.60² = 8752 - 7200 = 1552

1552/60 = 25,87; we use 25.60

1552 - 25.60 = 1552 - 1500 = 52

∴ 8752 = 2 25 52

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