Flipping Digits

Have you noticed that the digits 6 & 9 look like each other flipped over?

6 + 3 = 9

9 - 3 = 6

(Add 3 to 6 to flip it over to 9; subtract 3 from 9 to flip it over to 6)

3 is the number that "flips" these 2 digits over in addition & subtraction!

You can use as many digits as you want, but if you don't want to "flip" a digit, use 0's. This makes 6 & 9 look like switches! You can even add more digits! (Or remove some)

Observe the 8 steps in the example below:

1: 99,999 - 33,333 = 66,666

2: 66,666 + 30,303 = 96,969

3: 96,969 - 30,300 = 66,669

4: 66,669 + 33,330 = 99,999

5: 99,999 + 9,900,000 = 9,999,999

6: 9,999,999 - 3,330,333 = 6,669,666

7: 6,669,666 - 6,663,000 = 6,666

8: 6,666 + 990 = 6,996

Try making puzzles like this for your friends! In fact, I think I'll make some like this for the Puzzles & Games Page!

These are the only 4 digits allowed in this trick:

P.S.: Make sure that the sums & differences only have 6's or 9's as digits!

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© Derek Cumberbatch