JEE Main Important Physics formulas
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The word "2600" is written as "Two Thousand Six Hundred." A number in mathematics is created by the combination of digits in various locations. Therefore, the digits and their position values within the number determine the value or count of the numbers. The value or count of a number in numerical form is used to express it. Any language's words can be used to represent the value or count of the number. The word "Two Thousand Six Hundred" is written in English in this instance. So, in order to express a number, we must use words to describe it. English is widely spoken around the world since it is a universal language. For instance, we may calculate the numerical cost of a laptop as "$2600".
The entire Mathematics only has ten digits. The 10 digits are 0 to 9. The entire number system is established by these ten digits. These digits are put together in a specific order to represent any number, no matter how large or little. The mathematical idea known as the "Place value system" establishes that arrangement.
The 10 digits 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9 are employed in mathematics to represent entire numbers. Therefore, these digits are crucial in the formation of numbers. These digits are placed in a number so that the position where they are located, corresponds to a specific value according to the place value system The number will acquire a value to be used in additional mathematical applications, such as arithmetic operations.
The world cannot be understood without numbers. We are connected by numbers starting with the day we get our "Date of Birth" from the moment we are born on this planet. Everything is connected to a number in mathematics, including the sunrise, sunset, day, date, and time.
Here are a few examples of how numbers are used in everyday life: date and time, as well as money, which uses numerals.
Numbers are used to measure the value of items such as food, clothing, shelter, furniture, etc.
The term "Place value system" refers to the method used to determine the value of a digit at a specific location inside a number. Here, "Place and Place value" make up the system's fundamental components.
PLACE:
Since we are aware that a number might contain one or more digits, we have locations.
One digit, two digits, three digits, or an unlimited number of digits can make up a number. These digits are therefore arranged in the number one by one or one after the other.
A few positions are grouped into periods in a place value system.
PLACE VALUE:
Each digit in a number has a specific place value that can be used to calculate, count, or name the number in language. The place value of a digit in a number is referred to as such a value.
Here, as the digit's position changes, its place value also does.
For instance, 65,432 has five digits 2,3,4,5,6 in different positions. In the event that the digits are shifted, it forms a new number - 54,236. The same digits are included in the new number as well, although in different locations. Thus, their worth is altered.
In total, there are two types. The two are the Indian Place value system and the International Place value system, respectively.
International Place value system:
The periods in this system are billions, millions, thousand, and ones (From left to right in a number)
So, the places in those periods are:
Millions: Hundred Million’s (HM), Ten million’s (TM), Millions (M)
Thousands: Hundred thousand’s (HTh), Ten thousand’s (TTh), Thousand’s (Th)
Ones: Hundred’s (H), Ten’s (T), Ones (O)
Indian Place value system:
In this system, the periods are: Crores, Lakhs, Thousands, and Ones (From left to right in a number)
So, the places in these periods are:
Crores: Ten crore’s (TC), Crore’s (C)
Lakhs: Ten lakh’s (TL), Lakh’s (L)
Thousands: Ten thousand’s (TTh), Thousand’s (Th)
Ones: Hundred’s (H), Ten’s (T), One’s (O)
A place value chart is used to write a number using a certain place value system. One important rule, in this case, is to add and spell the places in the same period together when writing in words.
For the above-mentioned systems, the place value charts are
International Place Value Chart:
Consider the seven-digit number 8352406 as an example, as displayed in the chart above. Using the chart, we can write
$\begin{align}
& 8352406=8\times 1,000,000+3\times 100,000+5\times 10,000+2\times 1,000+4\times 100+0\times 10+6\times 1 \\
& \text{ }=8,000,000+300,000+50,000+2,000+400+0+6 \\
& \text{ }=8,352,406 \\
\end{align}$
I.e., 8,352,406 – Eight millions-three fifty-two thousand-four hundred and six.
Indian Place Value Chart:
Consider the seven-digit number 8352406 as an example, as displayed in the chart above. Using the chart, we can write
$\begin{align}
& 8352406=8\times 10,00,000+3\times 1,00,000+5\times 10,000+2\times 1,000+4\times 100+0\times 10+6\times 1 \\
& \text{ }=80,00,000+3,00,000+50,000+2,000+400+0+6 \\
& \text{ }=83,52,406 \\
\end{align}$
I.e., 83,52,406 – Eighty-three lakhs-fifty-two thousand-four hundred and six.
We have provided the number 2600.
We must know the value of the number before we can express it in words. We may determine the value of the number by utilizing the place value charts.
Using an international place value chart:
The digit 2 is in the thousand’s place in this instance, whereas the digit 6 is in the hundreds place. They come from various periods. in order to write
$\begin{align}
& 2600=2\times 1,000+6\times 100+0\times 10+0\times 1 \\
& \text{ }=2,000+600+0+0 \\
& \text{ }=2,600 \\
\end{align}$
As a result, we can write the number as "Two thousand six hundred" (because the following two digits are 0s and hence have no significance).
Therefore, the word equivalent of the number 2600 is – “Two thousand six hundred”.
Note: Using the Indian place value chart also we can get the same conversion since the number has only four digits.
The place value of a digit in a number is the value the digit delivers based on its position in the number.
In English words, 2600 is written as – “Two-thousand six-hundred”.
A period is a collection of locations that all have the same kind of place value. One's, hundred, and ten are gathered as a "One's" period, whereas ten thousand and thousand are grouped as a "Thousand" period.
A "comma (,)" is used in numerical notation to indicate the end of a period. For instance, 2,600 is a representation of 2600. hundreds of thousands and one's periods are separated by a comma.
The expanded form of 2600:
$\begin{align}
& 2600=2\times 1,000+6\times 100+0\times 10+0\times 1 \\
& \text{ }=2,000+600+0+0 \\
& \text{ }=2,600 \\
\end{align}$
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