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Hindu Arabic Numeration System

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Hindu-Arabic Number

source: slideplayer.com Fig: Hindu-Arabic Number
source: slideplayer.com
Fig: Hindu-Arabic Number

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× 103 + 9× 102 + 8× 101 + 2× 100 [\(\because\) 100 = 1]

Periods and places in Nepali and in International System

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 1012 1011 1010 109 108 107 106 105 104 103 102 101 100
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
1011 1010 109 108 107 106 105 104 103 102 101 100
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.

Use of Commas

  1. Use of commas in Nepali system
    At first, units period is separated, then the numbers of places of thousand, lakhs, crores etc are separated. For examples, 692431728016 is written as Six kharab ninety-two arab forty-three crores seventeen lakh twenty-eight thousand sixteen.
  2. Use of commas International system

    source: www.flexiprep.com Fig: International Commas System
    source: www.flexiprep.com
    Fig: International Commas System
    At first, units period is separated, then the numbers of places of thousands, millions and billions are separated. For example,692431728016 is written as Six hundred ninety-two billion four hundred thirty-one million seven hundred twenty-eight thousand sixteen.



  • 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.

 

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Very Short Questions

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.

0%
  • The value of each digit in a number depends on its ______.

    number
    size
    place
    digit
  • 21,37,44,574 in which place does the number 3 lies in Nepali system of commas. 

    crore
    Ten lakhs
    ten crore
    lakhs
  • 3,468,172,532 which commas system is this?

    Nepali
    Asian
    International 
    European
  • 87,53,49,783 which commas system is this?

    Erupean
    International
    Asian
    Nepali
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