and from C to D?
Answer, 13ʰ 39ᵐ 44ˢ, and 6ʰ 50ᵐ 42ˢ.
- In order to perform the process of Multiplication, it must be recollected that, as in (52), if a quantity be divided into several parts, and each of these parts be multiplied by a number, and the products be added, the result is the same as would arise from multiplying the whole quantity by that number.
It is required to multiply £7. 13. 6¼ by 13. The first quantity is made up of 7 pounds, 13 shillings, 6 pence, and 1 farthing. And
| 1 farth. × 13 is | 13 farth. or | £0 . 0 . 3¼ | (219) |
|---|---|---|---|
| 6 pence × 13 is | 78 pence, or | 0 . 6 . 6 | |
| 13 shill. × 13 is | 169 shill. or | 8 . 9 . 0 | |
| 7 pounds × 13 is | 91 pounds, or | 91 . 0 . 0 | |
| The sum of all these is | £99 . 15 . 9¼ |
which is therefore £7. 13. 6¼ × 13.
This process is usually written as follows:
- £ 7 . 13 . 6¼
- 13
- £99 . 15 . 9¼
Division is performed upon the same principle as in (74), viz. that if a quantity be divided into any number of parts, and each part be divided by any number, the different quotients added together will make up the quotient of the whole quantity divided by that number. Suppose it required to divide £99. 15. 9¼ by 13. Since 99 divided by 13 gives the quotient 7, and the remainder 8, the quantity is made