that in this case nothing more is necessary than to keep the first figure of each line in the column under the figure of the multiplier from which that line arises. Suppose it required to multiply 365 by 101001. The multiplier is made up of 100000, 1000 and 1. Proceed as
| 365 × 1 | is | 365 | |
|---|---|---|---|
| (57) | 365 × 1000 | is | 365000 |
| 365 × 100000 | is | 36500000 | |
| The sum of which | is | 36865365 |
and the whole process with the ciphers struck off is:
- 365
- 101001
- 365
- 365
- 365
- 36865365
- The following is the rule in all cases:
I. Place the multiplier under the multiplicand, so that the units of one may be under those of the other.
II. Multiply the whole multiplicand by each figure of the multiplier (59), and place the unit of each line in the column under the figure of the multiplier from which it came.
III. Add together the lines obtained by II. column by column.
- When the multiplier or multiplicand, or both, have ciphers on the right hand, multiply the two together without the ciphers, and then place on the right of the product all the ciphers that are on the right both of the multiplier