To divide by 10, 100, 1000, fc. RULE. Cut off as many figures from the right hand of the dividend as there are ciphers in the divisor, and the figures cut off are the remainder, and the other figures of the dividend are the quotient. EXAMPLES, 1. Divide 356 by 10. Ans. 35. rem, 6. 2. Divide 6572 by 100. Ans. 65, rem. 72. 3. Divide 763735 by 1000, Ans. 763. rem. 735. EXERCISES IN DIVISION. 1. If a man divide 4280 dollars equally among his five children; how many dollars will each receive ? Ans. 856. 2. Suppose 125 acres of land cost 4125 dollars, how niany dollars is that an acre ? Ans. $33. 3. What number multiplied by 125, will make 17125? Ans. 137 4. If you were to divide 1875 dollars equally among 15 men, how many dols. would you give each one ? Ans. $125. 5. If 24 hogsheads of molasses cost 456 dollars, what is that a hogshead ? Ans. $19. 6. What number multiplied by 7, will make 2436 ? .Ans. 348. 7. A drover purchased oxen, at $28 a head, to the amount of 6972 dollars ; how many did he purchase ? Ans. 249. 8. A prize of 294630 dollars is to be divided equally among 138 soldiers ; how many Ans. 2135. Questions. 1. What does Simple Division teach? 9. What is the Rule for Long Division ? 2. How many principal parts has di 10. When there are ciphers at the vision ? right hand of the divisor, how may we * 3. What is meant by dividend ? proceed? 4. What is meant by divisor ? 11. When the divisor is a composite 5. What is the quotient? Is the re- number, how may we proceed? mainder greater, or less than the divi 12. How is the true remainder found ? sor? 13. When the divisor is 10, 100, or 6. What is Short Division ? (Repeat 1000, &c., how would you proceed? the Rule.) 14. Write the sign of division on your 7. How do you prove division? slate. 8. How may the remainder, after di-ision, be expressed ? REDUCTION OF FEDERAL MONEY. The changing of numbers from one name to another, without altering their value, is called Reduction. EXAMPLES 1. Reduce 148 dollars to cents and millş. Thus, 14800 cents. To reduce dollars to cents, mul 148000 mills. tiply by 100, because I dollar = 100 cents. That is, we annex 2 ciphers, and the whole will be cents. (See Rule for multiplying by 10, 100, fc. pagę 37.) And to reduce cents to mills, we annex 1 cipher, and the whole will be mills : therefore to change dollars to mills, we annex 3 ciphers. 2. In 1386 dollars 8 cents, how many cents ? Thus, 138608 centş. Anş. Therefore, if the sum. consists of dollars and cents, join them together as a whole number, and the whole will be cents. (In this example, the cents being less than 10, we write a cipher before them, or in the tens' place, which must always be done in like cases.) And, if the sum consists of dollars, cents and mills, join them together in like manner, and they will express so many mills. Thus, 25 dollars, 41 cents, 5 mills = 25415 mills. 3. In 138608 cents, how many dollars and cents ? To reduce cents to dolThus, $1386, 08 = 1386 dols. 08 cents. Ans. lars, we divide by 100, be cause 100 cents = 1 dollar. (See Rule for dividing by 10, 100, fc. page 48.) That is, we cut off 2 figures to the right hand, and those on the left hand will be dollars; and to reduce mills to dollars, we point off three figures to the right; and those on the left will be dollars, and those on the right will be cents and mills. Thus, 25415 mills =$25,41,5, or 25 dols. 41 cts. 5 m. 4. Reduce 125 dollars to cents. Ans. 12500 cents. 5. Reduce 12550 cents to dollars. Ans. 6. Reduce 568 dollars, 9 cents, to cents. Ans. 56809 cents. 7. Reduce 56809 cents to dollars. Ans. Ans. 25588 mills. 9. Reduce 25588 mills to dollars. Ans. 10. Reduce 450 dollars to mills. Ans. 450000 mills. 11. Reduce 3598 mills to dollars. Ans. $3,598. 12. Reduce 95410 cents to dollars. Ans. $954,10. 13. Reduce $96 121 cents to mills. Ans. 96125 mills. 14. In 96125 mills, how many dollars and cents ? Ans. 96 dols. 121 cts. 15. Write down 125 dols. and 9 mills as a whole number. Ans. 125009 mills. MULTIPLICATION OF FEDERAL MONEY. RULE. Multiply the given sum as in whole numbers, and place the separating point as many figures from the right hand in the product, as it is in the given sum, or multiplicand. EXAMPLES. 1. Multiply 31 dollars 18 2. Multiply 21 dollars 8 cents, by 25. mills, by 87. $31,18 $21,008 25 87 15590 147056 6236 168064 Ans. 779,50 =$779 50 cts. 1827,696 Ans. $1827, 69 cts. 6 mills. $ cts. mls. 3. Multiply $1 46 cts. 5 m. by 35. Ans. 51 27 5 4. Multiply 3 dols. 75 cts. by 98. Ans. 367 50 5. Multiply $31, 98 c. 1 m. by 156. Ans. 4989 03 6 6. Multiply 81 dols. 5 cts. by 195. Ans. 15804 75 7. Multiply $156, 28 c. 3 m. by 75. Ans. 11721 22 5 8. Multiply 13 dols. 5 m. by 29. Ans. 377 14 5 9. Multiply 25 dols. 31} cts. or $253,15, by 365. Ans. $9239,975. To find the value of Goods, when the price of one yard, pound, fc. is given in Federal Money. RULE. Multiply the given price and quantity together, as whole numbers ; then place ihe separatrix as many figures from the right hand in the product, as it is in the given price. EXAMPLES 1. What is the cost of 25 2. What will 156 lbs. of yards of broadcloth, at $4 coffee come to, at ,15 cts. 58 cts. per yard ? per pound? $4,58 price of 1 yard. 156 number of lbs. 25 number of yards. ,15 price of 1 lb. 2290 780 916 156 114,50=$114 50 cts. Ans. $23,40=$23 40 cts. Ans. 3. What is the value of 18 barrels of flour, at $6,50 à barrel ? Ans. $117. 4. What is the cost of 128 bushels of corn, at ,72 cts. a bushel ? Ans. 92 dols. 16 cts. 5. What is the value of 25 lbs. of hyson tea, at $1,23 a pound? Ans. $30,75. 6. What cost 18 cwt. of rice; at 4 dols. 75 cts. per cwt. ? Ans. 854 dols. 7. What is the value of 25 pairsof shoes, at $1,75 a pair ? Ans. $43,75. 8. Bought 65 gallons of molasses, at 27} cents a gallon; what did the whole come to ? Ans. $178,75. 9. What will 156 yards of Irish linen come to, at ,78 cents a yard ? Ans. $121,68. 10. What will 18 days' labour come to, at ,96 cents a day? Ans. $17,28. 11. Bought 125 reams of paper, at $3,40 per ream; what did the whole come to? Ans. $425. 12. What will 125 bushels of oats come to, at ,34 cents a bushel ? Ans. $42,50. 13. What cost 1258lbs. of cheese, at ,06 cents per pound? Ans. $75,48. 14. Find the value of 5 chests of tea, each weighing 64 pounds, at ,75 cents a pound. Aris: 240 dols. 15. A merchant bought 18 bales of cloth, each bale containing 25 pieces, and each piece 31 yards, at ,45 cts. a -yard ; what did the whole come to ? Ans. $6277,50. DIVISION OF FEDERAL MONEY. RULE. Write down the given sum, and divide as in whole numbers ; the quotient will be the answer in the lowest name in the given dividend. EXAMPLES. 1. If 3 yards of cloth cost 12 dols. 75 cts., what is that á yard ? Operation. $12,75 is 1275 cts., which 3)1275 cts. we divide by 3, as a whole Ans. 425=4 dols. 25 cts. number, and the quotient is 425 cents, which reduced to dollars, is 4 dollars 25 cents, the Answer. 2. Divide 21 dollars 6 cents equally among 12 men. Operation. 21 dols. 6 cts. is 2106 12)2106,0 cents, which we divide by $ cts. mills 12, and there is a remainAns. 1755 mills.=1,75,5 der, which, by annexing à cipher, makes 60 mills, in which 12 is contained 5 times, and the quotient is 1755 mills ; which being reduced to dollars, is 1 dollar 75 cents 5 mills. 3. Divide 230 dollars equally among 16 men. We divide $230 by 16, and the quo16)230(14,375 tient is $14, and a remainder of $6, 16 which we reduce to cents by annexing 2 ciphers. We divide again, and the 70 quotient is 37 cts. and the remainder 8 64 cents. We then reduce 8 cents to mills by annexing 1 cipher, and dividing again 600 gives 5 mills. Thus the answer is 14 48 dollars 37 cents 5 mills. 120 But we may if we please, reduce 112 $230 to mills 230000 mills ; then divide by 16, and the quotient will be 80 14375 mills; which reduced to dollars 80 is = 14 dollars 37 cents 5 mills ; the Answer: |