Long Decimal Multiplication
Long multiplication is where you multiply in columns. Shift and add multiplication.
123
× 456
=====
738 (this is 123 × 6)
615 (this is 123 × 5, shifted one position to the left)
+ 492 (this is 123 × 4, shifted two positions to the left)
=====
56088
| 1 | 5 | 2 | 1 | ||
|---|---|---|---|---|---|
| X | 2 | 4 | |||
| 6 | 0 | 8 | 4 | A | |
| 2 | |||||
| 3 | 0 | 4 | 2 | 0 | B |
| 1 | |||||
| 3 | 6 | 5 | 0 | 4 | |
| 1 | |||||
| ## Multiply the units to make row A | |||||
| 1. 1 x 4 = 4 | |||||
| 2. 2 x 4 = 8 | |||||
| 3. 5 x 4 = 20, so carry the 2 | |||||
| 4. 1 x 4 = 4, add the carried 2 = 6 | |||||
| ## Multiply the 10s column to make row B | |||||
| 1. Put a zero in the units column | |||||
| 2. 1 x 2 = 2 | |||||
| 3. 2 x 2 = 4 | |||||
| 4. 5 x 2 = 10, write a zero, carry the 1 | |||||
| 5. 1 x 2 = 2, add the 1 = 3 | |||||
| ## Add rows A and B | |||||
| Normal addition rules. | |||||
| Answer is 36504. |