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:
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.
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)
- 34,987
- 23,108
- 10,098
- 1,23,980
- 3,62,100
- Write the number name for the following (International Numeral System)
- 23,890
- 234,908
- 214,873
- 2,873,099
- 8,147,965
- Find the place value of bold digits:
- 32467
- 90765
- 123670
- 327658
Recap
- Number system are of two types:
- Indian Numeral System
- 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