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# Number System

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

## Quiz for Number System

 Q.1 2 6 0 9 7 What is the place value for the digit 6? a) Thousand b) Ten Thousand c) Ones d) Hundreds
 Q.2 What is the number shown? a) 1274 b) 567 c) 4321 d) 8907
 Q.3 What is the number shown? a) 32 b) 230 c) 320 d) 3200
 Q.4 What is the number shown? a) 5539 b) 5432 c) 5678 d) 5431
 Q.5 What is the number name for the given number? 1 6 5 4 2 0 8 a) Sixteen lakhs b) Sixteen lakhs fifty thousand eight c) Sixteen lakhs fifty four thousand two hundred eight d) Sixteen lakhs fifty four thousand twenty
 Q.6 5 4 3 9 7 3 1 5 What is the number name for the given number? a) Nine Thousands b) Five lakhs thirty nine thousand fifteen c) Five crore forty three lakhs ninety seven thousand three hundred fifteen d) Five crore forty three lakhs fifteen
 Q.7 FOUR CRORE THIRTY ONE LAKHS FIFTY THOUSAND TWO HUNDRED EIGHTY SEVEN is the number name for? a) 431606 b) 43150287 c) 4310000 d) 4000000
 Q.8 FIFTY THREE CRORES TWENTY ONE LAKHS FIFTY FOUR THOUSAND TWENTY THREE is the number name for? a) 532154023 b) 523520432 c) 552320432 d) 542325207
 Q.9 1 crore = _______. a) 1 million b) 1 billion c) 10 million d) 5 million
 Q.10 100 tens = ______. a) 1 million b) 100 thousand c) 10 thousand d) 1 thousand