125
12 times 12 in like manner—Twice 2 are 4; 12 and 2 are 14, joined to 4 is 144.
| 12 |
| 12 |
| 144 |
12 times 14?—Twice 4 are 8; 12 and 4 are 16; joined to 8, is 168.
When 9 is the multiplier, it can be always made the multiplicand, then whatever the multiplier is, reduce it a figure, which note in the mind, belongs to the tens place; then subtract it as originally given, from 10; such remainder will be the unit figure, which joined to the figure in the tens place, gives the product.
Thus 8 times 9—take 1 from 8, leaves 7, then take 8 from 10, and 2 remains, join it to the 7 is 72.
7 times 9?—Make 7 one less, is 6—take 7 from 10, and 3 remains; joined to the 6 is 63—here it is obvious that the 9 need not be used in these operations, but merely understood.
9 times 9?—reduce the multiplier 9 one figure, makes 8; take 9 from 10 and 1 remains; joined to the 8 is 81. This plan applies to all figures under 9 (9 inclusive).
These rules for the figures 5, 9, 10, 11, 12, may be of some little service: for the figures under 5—2, 3, 4, there need no rule, as they can be so easily impressed by the common mode, or the mnemonical one.
For the other figures in the table—6, 7, and 8, an exercise of memory will be likewise the best. Or for multiplying them; the plan introduced into the Lancasterian schools may be found useful; by the fingers of each hand being used to effect that purpose:—thus, if asked how much is 8 times 7?—it is resolved (or any sums between 6 and 9) by always considering the number of figures both in the
