of the divisor. Strike out all the ciphers from the divisor, and divide in the usual way; but at the end of the process place on the right of the remainder all those figures which were struck out of the dividend.
- EXERCISES.
| Dividend. | Divisor. | Quotient. | Remainder. |
|---|---|---|---|
| 9694 | 47 | 206 | 12 |
| 175618 | 3136 | 56 | 2 |
| 23796484 | 130000 | 183 | 6484 |
| 14002564 | 1871 | 7484 | 0 |
| 310314420 | 7878 | 39390 | 0 |
| 3939040647 | 6889 | 571787 | 4 |
| 22876792454961 | 43046721 | 531441 | 0 |
Shew that
| 100 × 100 × 100 - 43 × 43 × 43 | |||
|---|---|---|---|
| I. | ———————————— | = | 100 × 100 + 100 × 43 + 43 × 43. |
| 100 - 43 | |||
| 100 × 100 × 100 + 43 × 43 × 43 | |||
| II. | ———————————— | = | 100 × 100 - 100 × 43 + 43 × 43. |
| 100 + 43 | |||
| 76 × 76 + 2 × 76 × 52 + 52 × 52 | |||
| III. | ———————————— | = | 76 + 52. |
| 76 + 52 | |||
| 12 × 12 × 12 × 12 - 1 | |||
| IV. | 1 + 12 + 12 × 12 + 12 × 12 × 12 | = | ————————. |
| 12 - 1 |
What is the nearest number to 1376429 which can be divided by 36300 without remainder?—Answer, 1379400.
If 36 oxen can eat 216 acres of grass in one year, and if a sheep eat half as much as an ox, how long will it take 49 oxen and 136 sheep together to eat 17550 acres?—Answer, 25 years.
- Take any two numbers, one of which divides the other without remainder; for example, 32 and 4. Multiply both these numbers by any other number; for example, 6. The products will be 192 and 24. Now, 192 contains 24 just as often as 32 contains 4. Suppose 6 baskets, each containing 32 pebbles, the whole number