CASE I.

When the multiplier is not more than 12, always placing the greateft number uppermoft, fet the multiplier underneath, units under units, &c. and begin as the Table directs, fetting down the unit figure under units, and carrying the tens to the next place, in all refpecte as in fimple addition.

When the multiplier confifts of more places than one, multiply each figure in the multiplicand by every figure in the multiplier, beginning with the units, and placing the firft figure of each product exactly under its multiplier Laftly, add these feveral products together, in the fame

fame order as they ftand, and their fum will be their total product.

When the multiplier is a compofite number, that is, when it is produced by the multiplication of any two numbers in the Table, multiply the multiplicand by one of thofe figures, firft, and that product by the other : And the laft product will be the total required.

3.

Mult. 59375 by 35. 39187 by 48. 91632 by 56.

7×5=35

7

415625
5

2078125

Mult.

7.

8.

9.

Mult. 38462 by 108. 749357 by 121. 9043278 by 144.

When there are cyphers on the right hand of, either the multiplicand, or multiplier, or both, neglect thofe cyphers; then place the fignificant figures under one another, and multiply by them only; add them together, as before directed, and place to the right hand as many cyphers as there are in both the factors.

When there are cyphers between the fignificant figures of the multiplier, omit multiplying by them, and place the first figure of each product of the fignificant figures, exactly under that figure by which you multiply; lastly, add them together, and their fum will be the total product.

EXAMPLES.

To multiply by 10, 100, 1000, &c. fet down the multiplicand underneath, and join the cyphers in your multiplier to the right hand of them.

To multiply by 99, 999, &c. in one line; place as many dots at the right hand of the multiplicand, as there are figures of 9 in your multiplier, which dots fuppofe to be cyphers; then, beginning with the right hand dot, fubtract the given multiplicand from the new one, and the remainder will be the total product.

CAS E VIII..

To multiply by 13, 14, 15, &c. to 19: Place your multiplier at the right of the multiplicand, with the fign of multiplication between them, and multiply with the unit figure, only, of the multiplier, removing the product one figure to the right hand of the multiplicand, then add all together, and their fum will be the total product.

To multiply by 101, 102, 103, &c. to 109: Multiply by the right hand figure, only, of the multiplier, removing the product two figures to the right hand of the multiplicand: Add all together, and the fum will be the total product. In the fame manner proceed with 1001, 1002, &c. removing the product three figures.

EEAMPLES.