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Multiply 3423 with 1924:

Don't be scared. It is easy. Let's do convolution method because it is easier:

 |  3  4  2  3
--------------
1|
9|
2|
4|

 

Now, multiply each row and column, remember multiplication table. No need to use any carries.

 |  3  4  2  3
--------------
1|  3  4  2  3
9| 27 36 18 27
2|  6  8  4  6
4| 12 16  8 12

 

This is the only time you need to use your brain. Add together the numbers, diagonally, from bottom right to top left. Place the result as an addition, for each diagonal, the result is shifted (multiplied by 10).

 |  3  4  2  3
--------------
1|    
9|   
2|             
4|          12



+           12
--------------
 |  3  4  2  3
--------------
1| 
9| 
2|           6
4|        8 


            12
+          14.
--------------
 |  3  4  2  3
--------------
1|  
9|          27
2|        4 
4|    16  

            12
           14.
+         47..
--------------

Almost done now. Don't fall asleep!
 

 |  3  4  2  3
--------------
1|           3
9|       18
2|     8
4| 12 
            12
           14.
          47..
+        41...
--------------
 |  3  4  2  3
--------------
1|        2
9|    36
2|  6
4|

            12
           14.
          47..
         41...
+       44....
--------------
 |  3  4  2  3
--------------
1|     4
9| 27
2|
4|

            12
           14.
          47..
         41...
        44....
+      31.....
--------------

Almost done. Don't fall asleep!!!
 

 |  3  4  2  3
--------------
1|  3
9|
2|
4|

            12
           14.
          47..
         41...
        44....
       31.....
+      3......
--------------

Now, do the addition with carry. The result is the product of the multiplication!


--------------
            12
           140
          4700
         41000
        440000
       3100000
+      3000000
--------------
       6585852

 

3423 times 1924 equals 6585852.

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