34320 by 99 Facit 346 Rem. 66 20208 by 48 5704392 by 108 APPLICATION. 421 1. As division is a short method of discovering how often one number is contained in another, how often is 3 contained in 3699? Ans. 1233 times. 2. How many times is 25 contained in 132? Ans. 5 times with 7 over. 3. There are 12 pence in one shilling. How many shillings are there in 480 pence ? 4. The price of a pair of shoes is 2 dollars. How many pair may be had for 56 dollars? Ans. 40. Ans. 28. 5. Fifty-four apples are to be divided, equally, between two boys. How many must each boy have? Ans. 27. 6. Suppose a man travel 40 miles a day: how many days will he be in travelling 240 miles? ADDITION AND DIVISION. Ans. 6. 1. If I add 167, 394, and 447; and divide their amount by 12: what number will result? Ans. 84. 2. A person has in money, 5000 dollars; in `bankstock, 3500 dollars; and in merchandise, 12500 dollars. He intends to divide this property, equally, among his 3 sons. What will be the share of each son? Ans. 7000 dollars. 3. Suppose a farmer, who has a plantation of 520 acres, buys an adjoining one of 375 acres, and divides the whole into five equal portions: how many acres will there be in each portion? Ans. 179. SUBTRACTION AND DIVISION. 1. Subtract 2468 from 5796, and divide the remainder by 26. Result 128. 2. William bought 12 pears: he kept 6 of them, and divided the rest between his two sisters. did each sister receive? How many 3. A man, at his decease, left property, amounting to 12426 pounds. He directed in his will that 1000 pounds should be given to his niece; and that the remainder of the property should be divided, equally, between his two nephews. What is the share of each nephew? Ar. 5713 pounds. MULTIPLICATION AND DIVISION. 1. Multiply 145 by 12, and divide the product by 6. 2. To find how many dollars are number of pounds, we multiply the divide their product by 3. How there in 456 pounds? Result 290. contained in any pounds by 8, and many dollars are Ans. 1216. 3. To find how many pounds are contained in any number of dollars, we multiply the dollars by 3, and divide their product by 8. How many pounds are there in 8576 dollars? FEDERAL MONEY, Ans. 3216. OR MONEY OF THE UNITED STATES. The denominations of Federal Money are; Eagle, Dollar, Dime, Cent, and Mill. 10 mills (m.) make 10 cents 1 cent, cts. 1 dime. 1 dollar, D. or $ 10 dimes (or 100 cts.) 10 dollars These denominations have precisely the same relative values as those of unit, ten, hundred, &c. and are also similarly ranged in Numeration. Federal money is therefore added, subtracted, multiplied, and divided by the same rules that are given for Simple Addition, Subtraction, Multiplication, and Division. It must be remarked, however, that in writing sums of Federal Money, parts of a cent are generally used instead of mills; and that, in reading those sums, neither the eagles nor dimes are mentioned: the former being considered as tens of dollars; and the latter as tens of cents. The parts or fractions of a cent, used instead of mills, are expressed by two nun bers, placed one above the other, with a line drawn between them. The under number denotes the part; and the upper one informs how many of that part are designed to be expressed: as, one fourth; three fourths; one third; two thirds; à a half. NUMERATION OF FEDERAL MONEY. In writing sums of Federal Money, the cents are placed on the right of the dollars, and are separated from them by a point. If there are not more than 9 cents in the sum, a cypher is put in the tens' place; and if there are no cents, two cyphers are used. If the point which separates the dollars from the cents be removed or supposed to be removed, the sum may be considered as cents only: and when the sum is cents only, if two figures be separated from the right, all on the left of these will be dollars. TABLE. See the following Thousands of dollars Dimes or tens of cents 34 1 2 10 12 dols. 10 cents, or 1210 cents 20 2 3 560 23 dols. 20 cents, or 2320 cents 0.7 . 560 dols. 7 cents, or 56007 cents 642 0 64. 642 dols. 6 cts. and 4, or 642064 c. 6004 1 2 6004 dols. 12 cts. and 1, or 6004124 c. 9126 1 8 9126 dols. 18 cts. and , or 9126184 c. EXAMPLES. To be read by the learner as dollars and cents, and also as cents only. 1.49 3.26 4.75 9.18 17.90 21.09 14.02 125.00 426.00 900.00 340.064 3911.10 4006.18 76420.01 19560.00 11904.10 4896.73 400.00 4500.064. The following to be written in figures. Seventeen dollars and fifty-two cents. Forty-nine dollars and seventeen cents. Eighty-four dollars and ten cents. Sixty dollars and twelve and a half cents. Two hundred and fourteen dollars and six cents and a half. Three hundred dollars. One thousand dollars. Seven thousand dollars and four cents. ADDITION OF FEDERAL MONEY. RULE. Place the sums one under another, with dollars under dollars and cents under cents; then, if there are no fractions, proceed in the same manner as in Simple Addition, observing to separate the cents of the amount from the dollars thereof, by placing a point between them. When fractions occur, find their amount in fourths;* consider how many cents these fourths will make; add them with the cents in the right hand column, and proceed as before directed. Proof; as in Simple Addition. Note. To find how many cents there are in any number of fourths of a cent, divide them by 4, and the quotient will be cents. * In Addition, Subtraction, and Division of Federal Money, all fractions less than a fourth are omitted, and every fraction greater than a fourth is reckoned a half, three fourths, or a whole cent, according to its value: so that in these three operations, no fractions are used excepting fourths-a half being counted two fourths. But in Multiplication it is often material that no fraction be omitted, and that all fractions should be estimated at their real value. 8. Add the following sums; viz. 45 dollars; 156 dollars; 1000 dollars, and 750 dollars. 9. Add 48 dollars 20 cents; 14 dollars 58 cents: 100 dollars, and 500 dollars. 10. Add 4 cents; 10 cents; 55 cents; 15 cents, and 11 cents. 11. Add 12 cents; 184 cents; 564 cents; 20 cents; 95 cents, and 42 cents. APPLICATION. 1. Bought a hat for 4 dollars; a pair of shoes for 2 dollars 25 cents; a pair of stockings for 1 dollar 50 cents; and a pair of gloves for 75 cents. What is the cost of the whole ? Ans. 8 dollars 50 cents. 2. Bought a Bible for 1 dollar; an English Reader for 75 cents; an Introduction for 50 cents; a slate for 314 cents; a slate pencil for 1 cent; and a copy book for 12 cents. How much do they all amount to? Ans. 2 dollars 694 cents. 3. Suppose I buy a barrel of sugar for 30 dollars 87 cents; a bag of coffee for 22 dollars 183 cents; and a bushel of salt for 1 dollar 12 cents: what sum must I pay for the whole ? Ans. 54 dollars 184 cents. SUBTRACTION OF FEDERAL MONEY. RULE. Place the less sum under the greater, with dollars uder dollars, cents under cents, &c.: then if there are uo fractions, proceed as in Simple Subtraction; observing to separate the dollars from the cents, in the remainder. If there is a fraction in the upper sum, and none in the lower, set it down as part of the remainder, and proceed as before directed. If there is a fraction in |