LESSON 13. $54321 Borrowed, April 17th, 1834. 18765 Paid, May 1st, 1834, how many dollars remain due? Ans. 35556 Remain due.* Five from 11 and 6 remain-carry 1 to 6 makes 7 -7 from 12 and 5 remain-carry 1 to 7 is 8-8 from 13 and 5 remain-carry 1 to 8 is 9-9 from 14 and 5 remain-carry 1 to 1 is 2-2 from 5 and 3 remain. Answer in figures, 35556. In words, Thirty-five thousand five hundred and fifty-six. LESSON 14. Borrowed 628134 Dollars. Paid 419243 What remains due? Answer, 208891 Dollars remain due. Three from 4 and 1 remains-4 from 13 and 9 remain-carry 1 to 2 is 3-3 from 11 and S remaincarry 1 to 9 makes 10-10 from 18 and 8 remaincarry 1 to 1 makes 2-2 from 2-0 remains-4 from 6-2 remain. Answer in figures, 208891. In words, Two hundred and eight thousand eight hundred and ninety-one. LESSON 15. Lent 644310 dollars. Received back 421536 dollars. I wish to know how many dollars are yet due? The sum lent, 644310 dollars. Six from 10 and 4 remain-carry 1 to 3 is 4-4 from 11 and 7 remain-carry 1 to 5 is 6-6 from 13 and 7 remain-carry 1 to 1 is 2-2 from 4 and 2 remain-2 from 4 and 2 remain-4 from 6 and 2 remain. Answer, 222774. NOTE,-It is necessary to show the learners the analogy between Multiplication and Addition, as 2 and 2 are 4, and 2 are 6, and 2 are 8, or 4 times 2 are 8 &c. And in Division, teach them that Subtraction will answer problems in that Rule. See Lecturing, by Index. D + QUESTIONS. What is Subtraction? What is the sign of Subtraction? What are the three terms or numbers called? To prove Subtraction, as mentioned under lesson 7, add the two lower lines together; their sum will be equal to the upper line when the work is correct. Take lesson 28, 29, 30, 31: add the second line, called minor, to the third line, called remainder; their sums will be 10045; 800940 13579; 60405. Questions applied in Simple Subtraction. 32. A man was born in the year 1755; I demand his age in the year 1834? Answer 79. 33. I borrowed $3090, and paid $1979; how much remained due to the lender? Answer $1111. 34. There are two numbers, the greater is 104, and the lesser 69; what is their difference? Ans. 35. 35. From 1072 take 385, and from the remainder take 465;. what will be the second remainder? Answer 222. 36. A boy going to the bank with three parcels of money, the first containing $730, the second $350 and the third $1001, but accidentally lost one parcel, and paid in only $1080; how much was lost? Answer $1001. 37. Two farmers agreed to reckon and settle their accounts: one had charged on his book 125 cents, 340 cents, 17 cents, 19 cents, and 62 cents: the other had an account amounting to 463 cents; what was the difference of their accounts? Ans. 100 cents. 38. A baker bought two barrels of flour: the first weighed 224 pounds, but the barrel, called tare, weighed 27 pounds; the second weighed 225 pounds, with the tare, which weighed 28 pounds; I demand how much the flour weighed after subtracting the tare? Answer 394 pounds. 39 There are two numbers which have a difference of 103, and the greater number is 300; what is the lesser number? Ans. 197. 40. A, has a note against B for $505, and a book account for $75 without interest: B paid at one time $94, at another $102, at a third time $123, and at a fourth time $128; how many dollars are yet due to A? Answer $133. 41. A note of $420, has $29 interest due thereon, $162 are paid, and a second note given for the balance due. The second note remains unpaid till the sum of $20 terest is due, at which time a payment is made of $150 and a new note given for the residue; how `much was the new note? Ans. $157. 42. A bankrupt at the time of failing owed for sundry goods $460, for unimproved land $652,' for a gristmill $975, and for house-rent $300 at the time of stopping payment, he had good bonds and notes to the amount of $876, cash $253, and his land was valued at $450; what sum did his creditors lose? Answer $808. 43. A merchant entering into trade, owed $440, he had in cash and stock to the amount of $9042: he made $521 clear profit the first year; what was the value of his estate after paying the sum he owed? Answer $9123. After the learners have written the Numeration Table several times, lecture and interrogate them in the following manner, as far so may be supposed requisite. In what place do we find units? At the right hand of whole numbers. In what place do we find tens? In the second place of any number of integers towards the left, on the left side of units. In what place do we find hundreds ?. In the third place. In what place do we find thousands? In the fourth place. In what place do we find tens of thousands? In the fifth place. In what place do we find hundreds of thousands ? In the sixth place. What general remarks may be made respecting numbers with regard to numeration? Every third place towards the left will be hundreds : every second, fifth, eighth, eleventh, &c. will be tens; and every seventh, thirteenth, nineteenth, and twentyfifth, will bear a new name, as Units, tens, hundreds, thousands, tens of thousands, hundreds of thousands; Millions, tens of millions, hundreds of millions, thous ands of millions, tens of thousands of millions, hundreds of thousands of millions; Billions, tens of billions, hundreds of billions, thousands of billions, tens of thousands of billions, hundreds of thousands of D* |