What is Expanded Form?

What is Expanded Form?

Expanded Form 

  • A number when expressed with its place value denotes its expanded form. 

  • Suppose we write a number 619, here we actually mean that we have a total of 600 + 10 + 9. This expansion shows the value of each of its digit and hence represents the expanded form. 

  • The expanded form varies in the Indian and International structure as per their defined period. 

 

 

International Place Value System 

Examples:   

Expand the following numbers as per International Place Value System: 

(a) 81,664 

(b) 1,697,832  

 

We can expand any given number in three ways: 

(a) 81,664 

      = 8 ten thousand + 1 thousand + 6 hundred + 6 ten +  
    4 one 

Or = 8 x 10,000 + 1 x 1,000 + 6 x 100 + 6 x 10 + 4 x 1 

Or = 80,000 + 1,000 + 600 + 60 + 4 

 

(b) 1,697,832 

= 1 million + 6 hundred thousand + 9 ten thousand +  
    7 thousand + 8 hundred + 3 ten + 2 one 

Or = 1x1,000,000 + 6x100,000 + 9x10,000 + 7x  
    1,000 + 8 x 100 + 3 x 10 + 2 x 1 

Or = 1,000,000 + 600,000 + 90,000 + 7,000 + 800 + 30 +  
            2 

Indian Place Value System 

Examples:   

Expand the following numbers as per Indian Place Value System: 

(a)  64,980 

(b)  9,82,143 

 

We can expand any given number in three ways: 

(a)   64,980 

     = 6 ten thousand + 4 thousand + 9 hundred + 8 ten +  
    0 one 

Or = 6 x 10,000 + 4 x 1,000 + 9 x 100 + 8 x 10 + 0 x 1 

Or = 60,000 + 4,000 + 900 + 80 + 0 

 

(b)   9,82,143 

     = 9 lakh + 8 ten thousand + 2 thousand + 1 hundred + 
    4 ten + 3 one 

Or = 9 x 1,00,000 + 8 x 10,000 + 2 x 1,000 + 1 x 100 +  
    4 x 10 + 3 x 1 

Or = 9,00,000 + 80,000 + 2,000 + 100 + 40 + 3 

 

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