as those of the first: two regiments of cavalry and one of infantry desert from the former to the latter. How many men has the second army more than the first?—Answer, 13400.
- Suppose it is required to multiply 23707 by
- Since 4567 is made up of 4000, 500, 60, and 7, by (53) we must multiply 23707 by each of these, and add the products.
| Now (58) | 23707 × | 7 | is | 165949 |
|---|---|---|---|---|
| (60) | 23707 × | 60 | is | 1422420 |
| 23707 × | 500 | is | 11853500 | |
| 23707 × | 4000 | is | 94828000 | |
| The sum of these | is | 108269869 |
which is the product required.
It will do as well if, instead of writing the ciphers at the end of each line, we keep the other figures in their places without them. If we take away the ciphers, the second line is one place to the left of the first, the third one place to the left of the second, and so on. Write the multiplier and the multiplicand over these lines, and the process will stand thus:
- 23707
- 4567
- 165949
- 142242
- 118535
- 94828
- 108269869
- There is one more case to be noticed; that is, where there is a cipher in the middle of the multiplier. The following example will shew