Please explain how to do long multiplication. |
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 | ||
× | 2 | 8 | |
Then (being careful with the columns) work out 8 times 37:
8 × 7 = 56: |
| then | 8 × 3 = 24: |
|
Place a zero in the right-most column on the next row,
3 | 7 | ||
× | 2 | 8 | |
2 | 9 | 6 | |
0 | |||
then work out 2 times 37:
2 × 7 = 14: |
| then | 2 × 3 = 6: |
|
Finally, add these two rows of working out:
3 | 7 | ||
× | 2 | 8 | |
2 | 9 | 6 | |
7 | 4 | 0 | |
1 | 0 | 3 | 6 |
1 | |||
The answer is:
37 × 28 = 1036 |
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.