What is Expanded Form in International & Indian Place Value Systems?

What is Expanded Form in the International and Indian Place Value Systems?

Expanded Form: International Place Value System 

The expanded form varies in the Indian and International structure as per their defined period. We just learned how to expand a number per the Indian Place Value System, now let us go through some examples to learn about the International Place Value System. 

 

The key point of difference is how we actually use the “periods” and the placement of comma’s accordingly. 

 

International Place Value System Examples:   

Expand the following numbers as per International Place Value System: 

  1. 81,664 

  1. 1,697,832  

 

We can expand any given number in three ways: 

  • 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 

  • 1,697,832 

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

Or = 1 x 1,000,000 + 6 x 100,000 + 9 x 10,000 + 7 x  
    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: 

  • 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 

 

  • 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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