Write the following numerals in Indian system of numeration $ 7421932 $ .
Answer
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Hint: We know that the Indian system of numeration is completely dependent on the position of the digit in a given number. So, we will first write the positions of the digits in a given number and from their positions we will convert the given number into the Indian system of numeration.
Complete step by step answer:
Given that,
$ 7421932 $ .
We know that the position on the digits in a number starts from the right side of the number and we will move from right to the left of the number. Now the place values of the digits in the given number are listed as
The rightmost digit is $ 2 $, so the place value of the digit $ 2 $ is One.
The digit left to the digit $ 2 $ is $ 3 $, so the place value of the digit $ 3 $ is Ten.
The digit left to the digit $ 3 $ is $ 9 $, so the place value of the digit $ 9 $ is hundreds.
The digit left to the digit $ 9 $ is $ 1 $, so the place value of the digit $ 1 $ is Thousand.
The digit left to the digit $ 1 $ is $ 2 $, so the place value of the digit $ 2 $ is Ten Thousand.
The digit left to the digit $ 2 $ is $ 4 $, so the place value of the digit $ 4 $ is Lakhs.
The digit left to the digit $ 4 $ is $ 7 $, so the place value of the digit $ 7 $ is Ten Lakhs.
We will write the number $ 7421932 $ in Indian system of numeration as Seventy-Four $ \left( 7\times 10+4 \right) $ Lakhs Twenty-One $ \left( 2\times 10+1 \right) $ Thousand nine hundred thirty-two. Mathematically $ 74,21,932 $ .
Note:
In the Indian system of numeration, the commas are placed to distinguish the place values of the digits. In this system we will consider the digits up to the hundreds place are considered as a set and the remaining like thousands and ten thousand places are one set and so on. So, we will place commas before the third digit from the right and thereby we can place the comma before every two digits.
Complete step by step answer:
Given that,
$ 7421932 $ .
We know that the position on the digits in a number starts from the right side of the number and we will move from right to the left of the number. Now the place values of the digits in the given number are listed as
The rightmost digit is $ 2 $, so the place value of the digit $ 2 $ is One.
The digit left to the digit $ 2 $ is $ 3 $, so the place value of the digit $ 3 $ is Ten.
The digit left to the digit $ 3 $ is $ 9 $, so the place value of the digit $ 9 $ is hundreds.
The digit left to the digit $ 9 $ is $ 1 $, so the place value of the digit $ 1 $ is Thousand.
The digit left to the digit $ 1 $ is $ 2 $, so the place value of the digit $ 2 $ is Ten Thousand.
The digit left to the digit $ 2 $ is $ 4 $, so the place value of the digit $ 4 $ is Lakhs.
The digit left to the digit $ 4 $ is $ 7 $, so the place value of the digit $ 7 $ is Ten Lakhs.
We will write the number $ 7421932 $ in Indian system of numeration as Seventy-Four $ \left( 7\times 10+4 \right) $ Lakhs Twenty-One $ \left( 2\times 10+1 \right) $ Thousand nine hundred thirty-two. Mathematically $ 74,21,932 $ .
Note:
In the Indian system of numeration, the commas are placed to distinguish the place values of the digits. In this system we will consider the digits up to the hundreds place are considered as a set and the remaining like thousands and ten thousand places are one set and so on. So, we will place commas before the third digit from the right and thereby we can place the comma before every two digits.
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