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Question 4.2.1: From a Babylonian to a Hindu–Arabic Numeral Write as a Hindu......

From a Babylonian to a Hindu–Arabic Numeral

Write as a Hindu–Arabic numeral.

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The place value of these three groups of numerals from left to right is

(60)², 60, 1

or   3600, 60, 1

The numeral in the group on the right has a value of 20 – 2, or 18. The numeral in the center group has a value of 10 + 1, or 11. The numeral on the left represents 1 + 1, or 2. Multiplying each group by its positional value gives

(2 × 60²) + (11 × 60) + (18 × 1)

= (2 × 3600) + (11 × 60) + (18 × 1)

= 7200 + 660 + 18

= 7878

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