Express the following hindu-Arabic numerals 3200 into (I) Roman (ii) Egyptian (III) Babylonian
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Step-by-step solution
4 stepsLet's express 3200 in different numeral systems.
I) Roman Numerals
The Roman numeral system uses letters to represent numbers.
M = 1000
C = 100
For 3200:
3000 = MMM
200 = CC
Combining these, we get:
3200 = MMMCC
II) Egyptian Numerals
The Egyptian numeral system uses hieroglyphs.
𓆸 = 1000 (lotus flower)
𓍢 = 100 (coiled rope)
For 3200:
3000 = 𓆸𓆸𓆸
200 = 𓍢𓍢
Combining these, we get:
3200 = 𓆸𓆸𓆸𓍢𓍢
III) Babylonian Numerals
The Babylonian numeral system is a base-60 system, but within each place value, it uses base-10 symbols.
▼ = 1 (unit wedge)
◀ = 10 (chevron)
To express 3200 in base 60:
Divide 3200 by 60.
3200 ÷ 60 = 53 with a remainder of 20.
This means 3200 = (53 × 60) + 20.
So, in base 60, it's represented as 53 in the 60¹ place and 20 in the 60⁰ place.Represent 53 using Babylonian symbols.
53 = 5 × 10 + 3 × 1
53 = ◀◀◀◀◀▼▼▼Represent 20 using Babylonian symbols.
20 = 2 × 10
20 = ◀◀Combine the representations, separated by a space to denote different place values.
3200 = ◀◀◀◀◀▼▼▼ ◀◀
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