Why do you think the Chinese alternated between the Zong and Hehg symbols? If only the Zong symbols were to be used Class 8

Why do you think the Chinese alternated between the Zong and Hehg symbols? If only the Zong symbols were to be used Class 8

Question 1.

Why do you think the Chinese alternated between the Zong and Hehg symbols? If only the Zong symbols were to be used, how would 41 be represented? Could this numeral be interpreted in any other way if there is no significant space between two successive positions? Class 8

Solution:

We think that the Chinese alternated between the Zong and Heng was just to make the interpretation of the numerals in a clear way.

Using only the Zong symbols, 41 can be represented as shown below :

No. It is easier to locate blank spaces in comparison to Mesopotamian system.

Question 2.

Form a base-2 place value system using ‘ukasar' and ‘urapon’ as the digits. Compare this system with that of the Gumulgal’s. Class 8

Solution:

Base-2 place value system can be as shown below :

1 = urapon =1

2 = ukasar - 10

3 = ukasar - urapon = 11

4 = ukasar - ukasar = 100

5 = ukasar - ukasar - urapon = 101

6 = ukasar - ukasar - ukasar =110

7 = ukasar - ukasar ukasar - urapon = 111, and so on.

Clearly, it is simpler and easier than the Gumulgal’s system.