Today we will talk about two important number systems that form the basis of mathematics and our daily lives as well. All of us are aware of the numbers, 0 to 9, which forms the basis of the Hindu-Arabic number system. The other system we are going to discuss is Roman numbers.These are two different systems related to numbers that may form the identification for the numbered objects or even the position of the product.

Table of Contents

## Hindu-Arabic numbers

The Hindu- Arabic numerals are normal numbers starting from 0 and never-ending anywhere. These form the base of basic arithmetic calculations. These may be used in comparisons of quantities as well. The respective number system is also used to analyse the numerically accurate magnitude of our surrounding objects. There are certain terms and rules that are correlated with the topic.

- Comparison of the quantities and as per the number of digits.
- Order (ascending order and descending order) of the numbers of the system.
- Format and shifting of the numbers.
- Place values and face values.
- Basic calculations.
- Smallest and largest concepts as well as approximations.
- PEMDAS or BODMAS.

## Roman numbers

Romans and Europeans used the Roman system because they weren’t aware of the Hindu-Arabic system. The system was actually used until the 14^{th} century. But these were actually replaced by Hindu-Arabic numerals as these lack the probability of writing large numbers. Then also these found their utility in numbering pages, locating position, showing time in clocks and watches showing or numbering the consecutive big events, numbering chapters etc. Thus, roman numerals find their utility in our day to day lives as well.

Certain terms that are commonly used in the same system are Conversion to Hindu-Arabic, addition and subtraction of the same, greater than or smaller than etc.

Fun fact: The concept of Roman numerals does not have any symbol for zero or in other words 0 doesn’t form a part of this number system.

## Rules of the roman number system

- The numbers 1, 2, 3, 4, 5 are written as I, II, III,IV, V and then for 6-8 the symbols are VI, VII, VIII respectively. Then for 9, it is IX and 10 is represented as X. We have L to represent 50, C to represent 100, D is 500 and M is 1000.
- Repeating any symbol adds up the value of the numerals. Also, it should be noted that no symbol can be repeated more than thrice.
- The symbol of the numbers to be added to something is written to the right of the same while one that is supposed to be subtracted goes to the left of the same. The subtraction is done when there is a smaller symbol to the left of the greater one. In other words, you can subtract only once from a numeral.
- The symbols can not be repeated more than three times and V, L, D are never allowed to be repeated. These also do not go to the left of any greater symbol.
- X that represents 10 as mentioned above can be written to the left of C, L, M only, i.e., X can be subtracted only from these under the Roman system.
- When there are more than two roman symbols then to get the value of the same you need to add up the value of all the symbols.
- When you want to write the higher values in this system then the symbols may be accompanied by a bar.
- Symbol Of 10i.e. X can be reduced from L and C but not from D, M and others.

All the above-mentioned concepts form the basic mathematics and can be easily learned from the Cuemath app. The concepts are well explained under individual topics on the app. The topics are well supported by the videos and live classes through practical applications make every topic fun. The above rules make understanding easy and topics simple. For a better and efficient understanding of the concepts visit website and enrol now.