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Chapter 4: Problem 73

Describe how a number is represented in the traditional Chinese numeration system.

Short Answer

Expert verified
In traditional Chinese numeration, numbers are represented by characters: 一 (1), 二 (2), etc. Numbers larger than 10 are shown using a combination of these characters, where higher units are represented by different characters (eg. 百 for 'hundred'). Zero or empty positions are typically omitted, but 零 is used when necessary. Large numbers are grouped into fours rather than threes.

Step by step solution

01

Basic Units

In the traditional Chinese numeration system, various Chinese characters are used to represent numbers. Here are the Chinese characters for the numbers from one to ten: 一 (1), 二 (2), 三 (3), 四 (4), 五 (5), 六 (6), 七 (7), 八 (8), 九 (9), 十 (10).
02

Higher Numbers

For numbers higher than 10, the Chinese numeration system uses a combination of these characters. An essential aspect of this system is a positional component where higher units are represented by different Chinese characters. For example, 百 represents 'hundred', 千 is 'thousand' and 万 is 'ten-thousands'. Hence, the number 123 would be represented as 一百二十三.
03

Zero and Empty Positions

Another aspect to note is that the Chinese numeration system does not have a character for zero. Empty positions are usually omitted, but when needed, the character 零 (considered equivalent to zero) is used. For example, 101 is represented as 一百零一.
04

Large Numbers

For large numbers, Chinese numeration groups digits into fours rather than threes as with Western numbering. For example, the number 'one million' is represented as 一百万 or 100 ten-thousands.

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Most popular questions from this chapter

In Exercises 19-32, mentally convert each base ten numeral to a numeral in the given base. 2 to base two

In Exercises 1-12, add in the indicated base. \(342_{\text {five }}\) \(+413_{\text {fivs }}$$\quad\)

In Exercises 19-32, mentally convert each base ten numeral to a numeral in the given base. 5 to base two

In Exercises 33-48, convert each base ten numeral to a numeral in the given base. 108 to base four

In Exercises \(39-46\), perform the indicated operations. \(\mathrm{D} 3_{\text {sixteen }} \times 8 \mathrm{~A}_{\text {sixteen }}\)
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