Number System

 

Number System defines a set of values used to represent a quantity.

 

Number: A number is used in counting and measuring the quantities. There are two types of number systems:

Maths class 4 Number system

                                                                                                           

 

Maths class 4 Number system

 

Example: Write the number name in Indian Number System:

  • 3,28,987 = Three lakh twenty-eight thousand nine hundred and eighty-seven
  • 12,14,800 = Twelve lakh fourteen thousand eight hundred
  • 1,34,45,654 = One crore thirty-four lakh forty-five thousand six hundred and fifty-four
  • 60,09,90,008 = Sixty crore nine lakh ninety thousand and eight

Example: Write the following number names in International Number System:

  • 3,28,987 = Three hundred twenty-eight thousand-nine hundred and eighty-seven
  • 1,214,800 = One million two hundred and fourteen thousand-eight hundred.
  • 13,445,654 = Thirteen million four hundred forty-four thousand six hundred and fifty-four.
  • 600,990,008 = Six hundred million nine hundred ninety-eight

 

Face Value: Face value is the actual value of the digit. For example, in a number 986, the face value of “8" is 8.

Place Value: Place value of a number is defined by the position of that digit.

Maths class 4 Number system

 

 

In the picture above:

                             Place value of 5 is 5×1 = 5

                        Place value of 4 is 4×10,000 = 40,000

                        Place value of 6 is 6×10 = 60

 

Note:

  • The smallest 5-digit number is 10000.
  • The largest 5-digit number is 99999

 

Example: Find the face value of underlined digit:

  • 3,45,609
  • 23,98,987
  • 23,678,98
  • 1,25,690
  • 9,34,012

 

Answers: (1) 4, (2) 3, (3) 7, (4) 2, (5) 9

Example: Find the place value of underlined digits:

  • 4,67,890
  • 12,567,900
  • 3,43,238
  • 16,34,098
  • 5,89,765

 

Answers: (1) 800, (2) 500000, (3) 8, (4) 30000, (5) 60

 

Worksheet

 

  • Write the number name for the following (Indian Numeral System)
  1. 34,987
  2. 23,108
  • 10,098
  1. 1,23,980
  2. 3,62,100

 

  • Write the number name for the following (International Numeral System)
  1. 23,890
  2. 234,908
  • 214,873
  1. 2,873,099
  2. 8,147,965

 

  • Find the place value of bold digits:
  1. 32467
  2. 90765
  • 123670
  1. 327658

 

Recap

 

  • Number system are of two types:
  1. Indian Numeral System
  2. International Numeral System
  • Face value is same as of digit
  • Place value is the position of digit in a number
  • Smallest 5-digit number is 10000
  • Largest 5-digit number is 99999