KEY TO CARD No. 10. PROOF BY DIVISION. 5)4935 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. In 246 fathom of 6 feet each, how many feet? 6 1476 Place the figures as on the card. 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. 6)1476 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. 7)2800 400 Say 7 in 28-4 times-set down 4-7 in 0-0—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. In 9460 dollars of 8 shillings each, how many shillings? 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 3I 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. 8)75680 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. 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: 8 of copper make a Half-Cent or, gr. Grain. Cents. .5 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 York Sixpence A Half Pistareen A Dime One eighth of a Dollar, or New-York Shilling Cents. 6.25 10. 10. A Pistareen An English Shilling A Quarter of a Dollar A Half Dollar 12.5 20. 22.2 25. 50. 100. 110. A Dollar A Crown 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 informa |