the name of the trick is the cross multiplication technique
lets start with the numbers... 987*654
Step 1--- arrange the numbers in order (one on top of the other) your pick.
987
654
----------
start by first multiplying 7*4=28. write down the 8 and carry the 2 mentally.
987
654
---------- CARRY 2
----8
Step 2---- attempt to form an invisible X
It may not sound simple at first but I'll explain.
Start by observing the 8 & 4, then the 5 & 7. Make a line between those numbers and you will get an X.
Now multiple 8*4=32 PLUS(+) 5*7=35
so 32+35=67
67 + 2 (the carry)= 69
Now write down the 9 and carry the 6 mentally.
987
654
---------- CARRY 6
---98
Step 3--- now examine the numbers 4 & 9, 6 & 7, then in the middle 8 & 5.
Multiply them and add em' all up:
4*9=36 +6*7=42 +8*5= 40
so 36+42+40 = 118 PLUS carry 6 = 124.
Write down the 4 and carry the 12.
987
654
---------- CARRY 12
--498
Step 4--- Now we will attempt the invisible X for the last time. This time take notice of the numbers 9 & 5, 6 & 8
multiply them and add em' all up:
5*9=45 + 6*8=48
so 45 +48 = 93 PLUS carry 12 = 105.
Write down the 5 and carry the 10.
987
654
---------- CARRY 10
--5498
Step 5 (final step)--- In the beginning we started by multiplying 7 & 4. Now we will multiply 9 & 6.
so 9*6=54 + carry 10 = 64
Write it down and the behold the FINAL ANSWER!
987
654
----------
645498
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