KEY TO CARD No. 10. PROOF BY DIVISION. 987 Quotient or Proof. Five in 49-9 times and 4 over--5 in 43–8 times and 3 over-5 in 35—7 times. KEY TO CARD No. 11. LESSON 5. feet? Place the figures as on the card. 1476 Begin under the 6 and say 6 times 6 are 36—6 and carry 3–6 times 4 are 24 and 3 I carried are 27—7 and carry 2–6 times 2 are 12 and 2 I carried are 14. Answer in words, One thousand four hundred and seventy-six. PROOF OF LESSON FIFTH BY Division. 246 Six in 14-twice and 2 over; set down 2 and carry the 2 over to 7-6 in 27-4 times and 3 over--6 in 36-6 times. LESSON 6. In 400 weeks, how many days? 7 Ans. 2800 days. Place 7, the number of days in a week, under the 4, and say, 7 times 4 are 28; set down 28, then bring down the two ciphers to the right hand of 28. Answer in words, Two thousand eight hundred. KEY TO CARD No. 11. PROOF OF LESSON SIXTH BY Division. 400 Say 7 in 28—4 times—set down 4–7 in 040-in 0-0 or Begin and say, 7 in 28—4 times set down 4 and place the two ciphers on the right hand side of the 4. LESSON 7. 8 Ans. 75680 shillings. Place the 8 under the 6, take no notice of the cipher till you have multiplied the figures : say 8 times 6 are 48; set down 8 and carry 4–8 times 4 are 32, and 4 that I carried are 36—6 and carry 3—8 times 9 are 72, and 3 I carried are 75: Now bring down the cipher on the right hand side of the 8. Answer in words, Seventy-five thousand six hundred and eighty. PROOF OF LESSON SEVENTH BY Division. 9460 Eight in 75—9 times and 3 over-carry the 3 to 6 makes 36–8 in 36-4 times and 4 over-4 on the left side of 8 will make 48—8 in 48–6 times 8 in 0 no times--set 0 on the right of 6. KEY TO CARD No. 11. LESSON 8. In 20000 kegs, each containing 9 galls. how many galls.? 9 Ans. 180000 gallons. Place 9 for a multiplier under the 2, and pay no regard to the ciphers at present: but say 9 times 2 are 18—set down 18 and place as many ciphers on the right of 18 as there are in the multiplicand. Answer in words, One hundred and eighty thousand. PROOF OF LESSON EIGHTH. 9)180000 20000 Say 9 in 18-2 times set down 2 and bring down the ciphers on the right side of 2. END OF PART SECOND. INTRODUCTION TO ARITHMETIC, PART III. CONTAINING, TABLES OF FOREIGN COINS, COMPOUND ADDITION, A SKETCH OF DECIMALS, COMPOUND SUBTRACTION, AND AN EXPLANATION OF CARD No. 16. dut. gr. 17 TABLES OF WEIGHT AND VALUE. In addition to Card No. 12, the following Table of weight and value of Coins in the United States, is inserted for the teacher or reader. N. B. dwt. or pwt. stands for Pennyweight: gr. Grain. Cents. 4 8 of copper make a Half-Cent or, .5 8 16 of 1. 17 7 of silver make 1 Dollar, or 100. 18 do. make i Grown, or 110. 27 of British or Portuguese gold 100. 27 of French or Spanish gold 100. 4 6 A Spanish Pistole 377.3 4 A French Pistole 366.7 5 6 An English Guinea 466.7 5 6 A French Guinea 459.8 A Moidore 614.8 9 A Single Johannes 800. 18 A Double Johannes 1600. 6 | 22 The reader will recollect the rule for cutting off the two right hand figures, to make dollars on the left. See p. 82. FEDERAL VALUE OF SILVER. The Pennsylvania Fi'penny bit, or New Cents. York Sixpence 6.25 A Half Pistareen 10. A Dime 10. One eighth of a Dollar, or New-York Shilling 12.5 A Pistareen 20. An English Shilling 22.2 A Quarter of a Dollar 25. A Half Dollar 50. A Dollar 100. A Crown 110. OF GOLD A Quarter of an Eagle, 250. A Half Eagle, 500. An Eagle is 10 Dollars, or 1000. By a statement of eminent Teachers, we have information of other foreign Coins valued as follows: Cents. The Pound Sterling, 414.44 of Ireland, 410.25 Pagoda of India, 194. Tale of China, 148. Mill-ree of Portugal, 124. Ruble of Russia, 66. Rupee of Bengal, 55.5 The Guilder of the United Netherlands, 39. Mark Banco of Hamburg, 33.5 Livre Tournois of France, 18.5 Real Plate of Spain, 10. |