Easily Multiply Large Numbers: 73×53 & 7373×5353

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Discussion Overview

The discussion revolves around methods for multiplying large numbers, specifically exploring shortcuts or formulas to simplify the multiplication of 7373 and 5353 using the known product of 73 and 53. The conversation includes both theoretical approaches and practical techniques for mental calculation.

Discussion Character

  • Exploratory
  • Mathematical reasoning
  • Debate/contested

Main Points Raised

  • One participant inquires about shortcut methods or general formulas for multiplying large numbers based on smaller known products.
  • Another participant proposes a method that involves breaking down 7373 and 5353 into components, suggesting that 7373 x 5353 can be expressed as 73 x 53 x 10201.
  • A similar breakdown is reiterated by another participant, who notes that the resulting multiplication still appears complex and seeks an easier method.
  • One participant presents an alternative approach that involves using the expression (100 + 1)(73)(100 + 1)(53) to simplify the multiplication into manageable parts that can be calculated mentally.
  • Another participant agrees with the previous approach and emphasizes that simplification is necessary, stating that there are no shortcuts akin to Vedic or swift maths.
  • One participant expresses unfamiliarity with Vedic or swift maths while discussing the mental calculation technique proposed.

Areas of Agreement / Disagreement

Participants express differing views on the existence of shortcut methods for multiplication. While some propose specific techniques for simplification, others argue that these methods still require significant effort and do not constitute shortcuts in the traditional sense.

Contextual Notes

Some participants mention the complexity of the calculations involved and the limitations of mental arithmetic for large numbers, indicating that the methods discussed may not be universally applicable or straightforward.

parshyaa
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Is there a shortcut method to find 7373×5353 if we know 73×53, or any general formula for this type of questions
 
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7373x5353=(7300+73)x(5300+53)=73x53x(10000+100+100+1)=73x53x10201
 
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ShayanJ said:
7373x5353=(7300+73)x(5300+53)=73x53x(10000+100+100+1)=73x53x10201
Finally it will be 3869 ×10201 which still makes it harder to solve, i need a easy method , if it's there.
 
7373 x 5353 = (100 + 1)(73)(100 + 1)(53)
= (100 + 1)2 (73)(53)
= 1002 (3869) + 2(100)3869 + 3869
Each of these products can be done in one's head, and the three results added to get the final product.

This is the direction that ShayanJ was taking, I believe.
 
Last edited:
Mark44 said:
7373 x 5353 = (100 + 1)(73)(100 + 1)(53)
= (100 + 1)2 (73)(53)
= 1002 (3869) + 2(100)3869 + 3869
Each of these products can be done in one's head, and the three results added to get the final product.

This is the direction that ShayanJ was taking, I believe.
Mark44 edit: Fixed my typo above
It means only simplification will give you a answer, there's no shortcuts like in vedic/swift maths
 
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parshyaa said:
It means only simplification will give u a answer, there's no shortcuts like in vedic/swift maths
What ShayanJ and I suggested is a shortcut. We can use this technique to do the multiplication mentally, something that most people can't do when they multiply 7373 and 5353 in the usual way.

I don't know what Vedic or swift maths are.

... will give u a answer ...
Note that "textspeak" such as "u" for "you" is not permitted at this site.
 
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