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🙏🏻
