Long Multiplication


  • From: Hannah Simson
  • Date: 9 July 2000
  • Subject: How to do long multiplication

Please explain how to do long multiplication.


Maths Help suggests:

Long multiplication is a way to multiply numbers with 2 or more digits.

Here is an example of a long multiplication of two 2-digit numbers:

37 × 28

First, set out the two numbers in columns like this:

 3  7 
 ×    28

Then (being careful with the columns) work out 8 times 37:

8 × 7 = 56:

 3  7 
 ×    28

6
5
then

8 × 3 = 24:

 3  7 
 × 28

 2 96
5

Place a zero in the right-most column on the next row,

 3  7 
 × 28

 2 96
0

then work out 2 times 37:

2 × 7 = 14:

37
 × 28

 2  9  6 
40
1
then

2 × 3 = 6:

37
 × 28

 2  9  6 
740
1

Finally, add these two rows of working out:

37
×28

296
740

 1  0  3  6 
1

The answer is:

37 × 28   =   1036


Explanation

To work out   37 × 28   you have separately multiplied
37 × 8     and     37 × 20.

In the second row you worked out 37 × 2 and this explains
the extra 0 you had to put at the end.


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