It is the number system in which ten digits (i.e. 0, 1, 2, 3, 4, 5, 6, 7, 8 ,9 ) are used. Any whole number can be written using a combination of these ten digits. As it is based on the grouping of tens, it is also known as Decimal Number System or the Base Ten System. The value of each digit in a number depends on its place in the number. For example:
6 9 8 2
Thus, we can obtain the place value of any digit in a number by multiplying the digit by its place. So,the above number can also be expressed in expanded form as:
6982 = 6× 1000 + 9× 100 + 8× 10 + 2× 1
= 6× 10^{3} + 9× 10^{2} + 8× 10^{1} + 2× 10^{0} [\(\because\) 10^{0 }= 1]
Nepali System
The table below shows the periods and places of number in Nepali system:
Periods | Kharabs | Arabs | Crores | Lakhs | Thousands | Units | |||||||
Places | Ten Kharabs | Kharabs | Ten Arabs | Arabs | Ten Crores | Crores | Ten Lakhs | Lakhs | Ten Thousand | Thousand | Hundred | Tens | Once |
Power of 10 | 10^{1}^{2} | 10^{11} | 10^{10} | 10^{9} | 10^{8} | 10^{7} | 10^{6} | 10^{5} | 10^{4} | 10^{3} | 10^{2} | 10^{1} | 10^{0} |
Number | 6 | 9 | 2 | 4 | 3 | 1 | 7 | 2 | 8 | 0 | 1 | 6 |
From the above table, the number name of 692431728016 is:
Six kharab ninety-two arab forty-three crores seventeen lakh twenty-eight thousand sixteen.
International System
Periods | Bllions | Millions | Thousands | Units | ||||||||
Places | Hundred Billions | Ten Billions | Billions | Hundred Millions | Ten Millions | Millions | Hundred Thousands | Ten Thousand | Thousands | Hundreds | Tens | Once |
Power of 10 | 10^{11} | 10^{10} | 10^{9} | 10^{8} | 10^{7} | 10^{6} | 10^{5} | 10^{4} | 10^{3} | 10^{2} | 10^{1} | 10^{0} |
Number | 6 | 9 | 2 | 4 | 3 | 1 | 7 | 2 | 8 | 0 | 1 | 6 |
In International system, the number name of 692431728016:
Six hundred ninety-two billion four hundred thirty-one million seven hundred twenty-eight thousand sixteen.
.
Solution:
In Nepali System,
48,59,13,082 = Forty-eight crores fifty-nine lakhs thirteen thousands and eighty-two.
In International System,
485,913,082 = Four hundred eighty-five million nine hundred thirteen thousand and eighty-two.
Solution:
In Nepali system,
fifteen crores twenty lakh kilometer = 15,20,00,000
In International system,
fifteen crore twenty lakh kilometer = 152, 000, 000
One hundred fifty two million.
Solution:
In Nepali system,
7,23,60,95,841 = Seven arab twenty-three crore sixty lakh ninety-five thousand eight hundred and forty-one.
In International system,
7,236,095,841 = Seven billion two hundred thirty-six million ninety-five thousand eight hundred and forty-one.
Solution:
In Nepali system,
9,05,73,02,18,645 = Nine kharab five arab seventy-three crore two lakh eighteen thousand six hundred and forty five.
In International system,
905,730,218,645 = Nine hundred five billion seven hundred thirty million two hundred eighteen thousand six hundred and forty-five.
The value of each digit in a number depends on its ______.
21,37,44,574 in which place does the number 3 lies in Nepali system of commas.
3,468,172,532 which commas system is this?
87,53,49,783 which commas system is this?
ASK ANY QUESTION ON Hindu Arabic Numeration System
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