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Ternary Math

Remove 27 cards from a deck of cards.
Ask a participant  to select any card from the pack of 27 cards.
In the video, the 6 of Hearts was chosen.
Ask the participant to write down the chosen card and then to turn over the piece of paper.

Instruct the participant to shuffle the deck thoroughly.
Now ask the participant to choose any number between 1 and 27 and write it down on top of the piece of  paper.
In the video, the number chosen was 13.

Procedure:
Holding the pack face-down, begin taking one card at time and placing them left to right in three face-up piles.
Tell the participant to indicate in which pile their card appears, without identifying the card.
Pick up the cards.
Do this three times.
After the third time, place the cards next to the participant's favorite number.
Count off the cards...turn over the paper and the card.
Magic, indeed!

How to do the math card trick:

 Shuffle #1 Shuffle #2 Shuffle #3 Top 0 0 0 Middle 1 3 9 Bottom 2 6 18

In the video, the chosen number was 13.
In the grid, the three numbers totalling 13  are 1 + 3 + 9
After shuffle #1, the grid indicates to place the pile in the middle of the pick-ups.
After shuffle #2,
the grid indicates to place again the pile in the middle of the pick-ups.
After shuffle #3, the grid indicates to place again the pile in the middle of the pick-ups.

More examples:
If the chosen number is 4,(3 + 1) the grid indicates shuffle #1 in the middle, shuffle #2 in the middle, shuffle #3 on top.
If the chosen number  is 20,(18 + 2)
the grid indicates shuffle #1 on the bottom, shuffle #2 on top, shuffle #3 on the bottom.
If the chosen number  is 15,(6 + 9) the grid indicates shuffle #1 on the top, shuffle #2 on the bottom, shuffle #3 in the middle.

Watch the video.

 PS : Try more math tricks here.