JEE Main Important Physics formulas
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The daily activity involves the use of numbers. Numerals are a standard term for them. Without numbers, we are unable to count items, dates, hours, money, etc. These numerals are sometimes used for labelling and sometimes for measurement. Numbers are able to execute arithmetic operations on them due to their inherent characteristics. Both quantitative and verbal expressions of these quantities are available. As an illustration, the number 2 is written as 2, the number 25 as 25, etc. To learn further, students might practise writing numbers from 1 to 100 in words.
We discover that there are various kinds of numbers in mathematics. They are whole numbers and natural numbers, as well as odd and even, rational and irrational numbers, etc.
A system of writing numbers is called a number system. It is the mathematical notation for reliably utilizing digits or other symbols to represent the numbers in a given set. It represents the arithmetic and algebraic structure of the integers and provides every number with a unique representation. We can execute arithmetic computations like addition, subtraction, multiplication, and division with it as well
Decimal Number System
Binary Number System
Octal Number System
Hexadecimal Number System
Before the invention of numbers, counting was done with some sort of physical object, such as a stick or a stone. After then, marks and lines for numbering various things continued for a very long time on rocks and pottery. The figures eventually emerged. Therefore, a standard numerical system mathematical notation for expressing numbers using digits or signifiers is to be established. The numeral system or numeration system relates to this. Furthermore, the numbers developed differently across different countries and periods. This is one of the reasons why there are so many distinct numeral systems, including binary, decimal, Greek, Arabic, and Roman.
A numeral system is a method of writing a number that is used to express it reliably in mathematics. The Hindu-Arabic numeral system is the most frequently used one. This was developed in India and is now used throughout the world. It is considered a base-10 positional system. A place value chart is utilized to explain the positional value of each digit in a number.
Let's consider just a number, let's say 200. Make a note of the numbers. Here, 0 is repeated twice while taking into consideration that they all have different values. We distinguish them by specifying their place value, which is the numerical worth assigned to a digit based on where it appears in a number. Thus, the place value of the two on the left is hundreds, and the one in the middle is tens.
As we return to the Indian numeral system, the place values of the digits are Ones, Tens, Hundreds, Thousands, Ten Thousand, Lakhs, Ten Lakhs, Crores, and so forth.
Crores | Lakhs | Thousands | Ones | |||||
Ten Crores (TC) | Crores (C) | Ten Lakhs (TL) | Lakhs (L) | Ten Thousands (TTh) | Thousands (Th) | Hundreds (H) | Tens (T) | Ones (O) |
10,00,00,000 | 1,00,00,000 | 10,00,000 | 1,00,000 | 10,000 | 1,000 | 100 | 10 | 1 |
According to the international numeral system, the place values of digits are Ones, Tens, Hundreds, Thousands, Ten Thousand, Hundred Thousand, Millions, Millions, and so forth.
Millions | Thousands | Ones | ||||||
Hundered Millions (HM) | Ten Millions (TM) | Millions (M) | Hundred Thousands (HTh) | Ten Thousands (TTh) | Thousands (Th) | Hundreds (H) | Tens (T) | Ones (O) |
100,000,000 | 10,000,000 | 1,000,000 | 100,000 | 10,000 | 1,000 | 100 | 10 | 1 |
Comparison between Indian and International Number System
Indian System | Crores | Ten Lakhs | Lakhs | Ten Thousands | Thousands | Hundred | Ten | One |
Numbers | 10000000 | 1000000 | 100000 | 10000 | 1000 | 100 | 10 | 0 |
International System | Ten Millions | Millions | Hundred Thousands | Ten Thousands | Thousands | Hundred | Ten | One |
Commas are being used extensively in order to make it simpler to comprehend and write. The commas are placed differently in Indian and foreign systems.
Based on the Indian numeric system, the first comma is put after the hundreds place, and then they go after every two digits after that. E.g., 1,23,45,67,890
Following the international number system, the first comma is put after the hundreds place, and then they go in after every three digits beyond that. E.g., 1,234,567,890
The problem is to find the number of crores is 2 billion. But as we are aware of Indian and international number systems and by using those and finding out the solution to the problem. As we are aware One billion is equivalent to 100 crores or 10,000 lakhs. As a result, 200 crores equals 2 billion, or 2 billion = 2✖100 crores = 200 crores.
Numbers are used frequently in daily activities. It is recognized by the general term numbers. We cannot count things, dates, hours, money, etc. without numbers. These numbers are occasionally employed for measuring and sometimes for labelling. A number system is a way to represent numerical values. It is the formal mathematical notation for representing a set of numbers by means of digits or other symbols that can be relied upon. Indian and International are the two number system that is used to find the digits in the symbol and make our life easier. Generally, we use the Indian Number System to recognise a number and place them according to the formats.
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