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)
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