9.23-Response-Ancient Egyptian mathematics: Numeration
Similarities:
Both
systems use symbols to represent numbers. The Babylonians used wedge-shaped
marks, while the Egyptians used pictures, like lines and symbols, for different
amounts.
Both
systems had separate symbols for larger numbers. There is no single numbers
like 2,3,4… The Egyptians used one symbol for 10,100,1000,10000…while the
Babylonians used their base-60 system to handle large numbers.
Differences:
The
Babylonian system is a positional system, where the value of a symbol changes
based on its place in the number, similar to our system today. The Egyptian
system is an additive system, where you simply add the symbols together to get
the number. Each symbol represents a fixed value (e.g., 1, 10, 100) regardless
of where it appears.Base system:
The
Roman numeral system is similar to the Egyptian system because it's also
additive. However, Roman numerals use some subtraction rules (e.g., IV for 4),
which the Egyptian system does not.
Advantages
and Disadvantages:
Egyptian
system:It’s simple and easy to use for smaller numbers.For large numbers, it
requires more symbols, which can make things complicated, it needs to draw many
same symbols.
Babylonian
system:Babylonian system allows for more efficient writing and calculation,
especially for large numbers.
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