Multiplication Methods | Long Multiplication, Chunking and Grid

Multiply big numbers by breaking them into parts is the easiest way, especially when working with non calculator papers.

Here, are illustrations on how to make calculations by using Long Multiplication, Multiplication by Chunking and Multiplication by Grid

Work out the value of 135 x 27

Method 1 - Long Multiplication by Chunking

             135
             x22
             -----
             270 .........multiply 2 x 135
         +2700..........put a 0 under 0, then multiply 2 x 135 and add the results
           ------
           2907
         ---------

Method 2 - Multiplication by Chunking

In 135, we have 100 + 30 + 5. Multiply each part by 22

           100 x 22 = 2200
             30 x 22 =   660...easy mental calculation, if 3 x 22 = 66, 30 x 22= 660  
               5 x 22      110
                              ------
                              2970     .......add 2200, 660 and 110 together       ...Happy now? :)
                            ---------

Method 3 - Multiplication by Grid

100   30   5
    0   20   2
---------------
      0      0      0               ....x 0
2000  600  100            ......x20
  200    60    10            ........x2
------------------
2200   660   110          .....add the number down
-------------------
    2970                           .....................Take the grand total (add across)       ......Get it? :( haha!
...............

Teachers' Note - it is important to use simple methods without diverting from traditional ones. However, introducing an optional method can help others students with difficulty in application of the other.

Students' Note - It is better to know two other methods that one.