units, tens under tens &c. and draw a line under them. 2. Find the product of the multiplicand by each figure of the multiplier, beginning with the units, and fet the firft figure of each product exactly under that figure of the multiplier, which you are multiplying by. 3. Add these products together in the fame order as they ftand, and their fum will be the whole product. EXAMPLES. 45432 3 1 8 0 1 4 Here, I multiply by 4 as in Cafe firft; then I take the fecond figure of the multiplier, viz. 7, and proceed in the fame manner, fetting the first figure of the pro duct under 7, its multiplier. Laftly, I add these products 3 3 6 1 9 6 8 together in the fame order as they ftand, and the work 4 7 8 3 2 1 I 91 32 8 4 3 6 6 1 0 6 8 9 3 4 Pro. CASE III. When there are cyphers between the fignificant fig, ures of the multiplier: RULE. Omit the cyphers, and remember to place the first figure of each product under its multiplier. 1 4 3 2 4 1 1 4 5 9 a 67874 300 I 6787 5729 20362 2 When there are cyphers on the right band of either, or both the multiplicand and multiplier : RULE Omit the cyphers, and find the product of the fignificant figures, and to the right hand of the product, annex as many cyphers as arẹ in both numbers. Note. When the multiplier is an unit with any number of cyphers, annex those cyphers to the right hand of the multiplicand, and the work is done. Thus, 125 multiplied by 100 12500. When the multiplier is such a number as can be produced by any two numbers in the Table. RULE. Multiply the given number by one of those numbers, and that product by the other, and the laft product will be the answer. EXAMPLES. 1. Multiply 456 by 25. 2. Mult. 7654 by 56 11400 Ans. 428624 Ans. 3. Mult, 4747 by 42. 4. Mult. 13245 by 96 APPLICATION. 1. Suppose 47 men took a prize, and each man's fhare amounted to 466 dollars; what was the value of the prize? Ans. 21901 dols. 2. What fum of money must be divided a mong 26 inen, fo that each may receive 124 dollars? Ans. 3124 dols. 3. How many miles will a man travel in 48 days, if he travel, each day, 35 miles ? Ans. 1680 miles. 4. If a man can make 150 tops in one day; how many can he make in 365 days? B z Ans. 5475 DIVISION. Divifion teaches to find how many times one num ber is contained in another, and confifts of four principal members, or parts, viz. f. The Dividend, which is the number given to be divided. 2. The Divifor which is the number to divide by 3. The quotient, which is the answer. 4. The Remainder, which is less than the dis vifor, and sometimes there is none at all. PROOF. Multiply the quotient by the divifor, and to the product, add the remainder, if any, and the fum, if the work be right, will be equal to the dividend. SIMPLE DIVISION. Simple Divifion teaches to divide one number by another, each of which must be of the fame de nomination. CASE I. When the divifor is not above 12. RULE. . Place it at the left hand of the When there is no remainder in divifion, the quetient is the complete and perfect answer; but when there is a remainder, it bears fuch a proper tion to another unit in the quotient, as itself does to the divifor; thus, if the remainder be half the divifor, it will go half a time more, &c. Ie order to make the quotient complete, fet the re mainder at the end of it above a small line, and the divifor below it." dividend with a curved line between; then draw a line under the dividend; "thus, Divifor 6)45625 Dividend. Quotient. 2. Seek how many times the divifor is con tained in juft fo many of the left hand figures of the dividend as are necessary to contain it, and fet the number in the quotient, under the right hand figure of thofe used in the divi. dend. 3. Carry the remainder, if any, to the next figure in the dividend, where it must be ac counted fo many tens; that is, if i remain call it to; if a remain, call it 20; if 3, 30; if 4, 40, &c. to which add the next figure of the dividend, and in which feek how many times the divifor is contained. Thus proceed, carrying the remainder in your mind from one figure to another, till you have gone through the whole. Note. If the remainder, when added to the next figure of the dividend, be lefs than the divifor, place a cypher in the quotient, and call the units of thofe figures fo many tens, to which add the next figure of the di vidend. EXAMPLES. 6)45625 7604 Quotient. In this example, I find that 6, the divifor, cannot be contained in the firft figure of the dividend, viz. therefore, I feek how many |