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

[parshyaa]

Is there a shortcut method to find 7373×5353 if we know 73×53, or any general formula for this type of questions

 

[ShayanJ]

7373x5353=(7300+73)x(5300+53)=73x53x(10000+100+100+1)=73x53x10201

 

[parshyaa]

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.

 

[Mark44]

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.

 

[parshyaa]

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

 

[Mark44]

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 ...

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