Amazing 
Repeated subtraction 6174!

Slide1

Take a 4 digit number. (All digits different)

(2) Arrange its digits in descending order--- (a)

(3) Arrange its digits in ascending order---- (b)

(4) Find (a) - (b).

(5) Repeat the process.

What do you see?

Slide3

For example:

I am Taking 4 digit number         

9265 

Arrange in Descending order 

9652 

Arrange in Ascending order        

 2569 

Now subtract                   

9652-2569 = 7083

Repetition

Arrange in Descending order 

8730 

Arrange in Ascending order        

 0378 

Now subtract                 

8730 – 0378 = 8352 

Repetition

Arrange in Descending order 

8532 

Arrange in Ascending order         

2358 

Now subtract               

8532 – 2358 = 6174 

Repetition                      

(7641- 1467 = 6174!)

Arrange in Descending order 

7641 

Arrange in Ascending order        

1467 

Now subtract               

7641 – 1467 = 6174 

Slide4

For example:

I am Taking 4 digit number         

9265 

Arrange in Descending order 

9652 

Arrange in Ascending order        

2569 

Now subtract                  

9652-2569 = 7083

Repetition

Arrange in Descending order 

8730 

Arrange in Ascending order       

0378 

Now subtract                 

8730 – 0378 = 8352 

Repetition

Arrange in Descending order 

8532 

Arrange in Ascending order        

2358 

Now subtract              

8532 – 2358 = 6174 

Repetition (7641- 1467 = 6174!)

Arrange in Descending order 

7641 

Arrange in Ascending order         

1467 

Now subtract               

7641 – 1467 = 6174 

Slide5 

For example:

I am Taking 4 digit number         

4256 

Arrange in Descending order 

6542 

Arrange in Ascending order         

2456 

Now subtract           

6542-2456 = 4086

Repetition

Arrange in Descending order 

8640 

Arrange in Ascending order         

0468 

Now subtract         

8640 – 0468 = 8172 

Repetition

Arrange in Descending order 

8721 

Arrange in Ascending order         

1278 

Now subtract        

8721  – 1278 = 7443

Repetition

Arrange in Descending order 

7443 

Arrange in Ascending order         

3447 

Now subtract        

7443 – 3447 = 3996

Repetition

 Arrange in Descending order 

9963 

Arrange in Ascending order

3699 

Now subtract        

 9963 – 3699 = 6264 

Repetition

Arrange in Descending order   

6642 

Arrange in Ascending order

2466 

Now subtract         

6642 – 2466 = 4176 

Repetition (7641- 1467 = 6174!)

Arrange in Descending order   

7641 

Arrange in Ascending order

1467 

Now subtract         

7641 – 1467 = 6174 

Slide 6

For example:

I am Taking 4 digit number

5832

Arrange in Descending order         

8532 

Arrange in Ascending order

2358 

Now subtract            

8532-2358 = 6174

Repetition (7641- 1467 = 6174!)

Arrange in Descending order 

7641 

Arrange in Ascending order

1467 

Now subtract        

7641 – 1467 = 6174 

Slide7

For example:

I am Taking 4 digit number

6345 

Arrange in Descending order 

6543 

Arrange in Ascending order

3456 

Now subtract            

 6543-3456 = 3087

Repetition

Arrange in Descending order 

8730 

Arrange in Ascending order

0378 

Now subtract               

8730 – 0378 = 8352 

Repetition

Arrange in Descending order 

8532 

Arrange in Ascending order

2358 

Now subtract      

8532 – 2358 = 6174 

Repetition (7641- 1467 = 6174!)

Arrange in Descending order 

7641 

Arrange in Ascending order 1467 

Now subtract        

7641 – 1467 = 6174 

Slide 8

What do you see?

6174

Amazing!

Play with your Friends Kutties! 👍

All the best! 

Thank You🙏🏻

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https://youtu.be/wN2GqsbU4mg