Friday 11 November 2011

**MULTIPLY TWO 3 DIGIT NUMBERS MENTALLY

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
 
 

No comments:

Post a Comment