Wednesday, September 18, 2024

Babylonian-style base 60 multiplication table for 45 - Blog Response #5

Here are some pairings of numbers that multiply to 45 that utilize base 60 fractions:

$$2 \times 22,30 = 45$$ since $2 \times 22.5 = 45$ so we can represent $0.5$ as $\frac{30}{60}$.

$$4 \times 11,25$$ since $4 \times 11.25 =45$ so we can represent $0.25$ as $\frac{15}{60}$.  

$$6 \times 7,30 = 45$$ since $6 \times 7.5 = 45$ so we can represent $0.5$ as $\frac{30}{60}$.

$$8 \times 5,37,30 = 45$$ since $8 \times 5.625 = 45$ so we can represent $0.62$ as $\frac{37}{60}$ and $0.005$ as $\frac{5}{60^2}$.

$$12 \times 3,45$$ since $12 \times 3.75 =45$ so we can represent $0.75$ as $\frac{45}{60}$.

  


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