Practice. Page 301. 20 quills at 3 farthings each. 2 farthings, are half a penny, 220 1 farthing is half a halfpenny, 110 5 Lesson 3rd. Page 303. 15d. Lesson 4th. Page 303. 1d.s.8612at 1d. 1q. 1d. s. 4121 at 1d. 2q. 1d.1q. Ans. .44 17s. 1d. Ans. £25 15 1 2 Lesson 7th. Page 304. Lesson 8th. Page 304. 2d. s. 6181at2d. 1q. 2d. s. 1218at2d.2q Ans. £.57 18 11 1 Ans. £. 12 13 9 SUPPLEMENT TO "EVERY MAN HIS OWN TEACHER." DECIMALS. RULE IN MULTIPLICATION. Point off so many decimals in the product, as there are in the two fac tors counted together. RULE IN DIVISION. The decimals in the divisor and quotient, counted together, must be equal in number to the decimals in the dividend. 1st. In Division, begin by counting the Decimals in the dividend; then begin again and count the Decimals in the divisor, turn from that to the right of the quotient and continue counting towards the left, till you have a number equal to the Decimals in the dividend; there place the point. 2d. If, after Division is performed, there is not a sufficient number of Decimals in the divisor and quotient, counted together, then prefix cyphers to the quotient, till the deficiency in number is made good. 3d. When the dividend is too small to admit the divisor, annex cyphers to the dividend; five in number for a general rule, but sometimes less, and sometimes more, according to the nature of the case under consideration. DIRECT PROPORTION; OR, THE SINGLE RULE OF THREE MADE DIRECT IN ALL CASES. RULE. Compare objects with objects of the same name and kind; as, prices with prices, or dollars with dollars, shillings with shillings, bushels with bushels, gallons with gallons, ounces with ounces, &c. for the two first terms; then place that which is of the same name of the answer, in the third term. If 4 men can do a piece of work in 10 days, how many men will be sufficient to do the same in 20 days? D. D. M. 20: 10:4 4 20)40(2 men, for answer. Although this question is of the inverse kind, yet the method of stating affords a direct operation, and will hold good in all cases. EXAMPLE 3. If 6 men can do a piece of work in 5 days, how many men can do the same in 15 days? Answer, 2 men. In this example we perceive, that the answer in men will require a less number than 6 mentioned in the supposition; therefore take the greatest number of days, in the supposition and demand, for the first term, and the other for the second. If 2 men can do a piece of work in 15 days, how many men can do the same in 5 days? Answer, 6 men. Here the nature of the question shows, that the answer must be greater than the number of men in the supposition; thus, D. D. M. 5)30(6 answer. N. B. In Compound Proportion, or Double Rule of Three, make two statements. PRACTICE GENERALIZED; on, THE DIFFERENT CASES IN PRACTICE WROUGHT UNDER ONE CASE. RULE. Find the price of unity, or one, in the denomination next above the highest denomination in the given price; this will immediately give the price of the given number of intigers; then take parts in the usual manner. EXAMPLES. 1817 at 1q. Say, 1817 at vide by 12 and by 20, which vide that sum by 4, and the the fourth of a penny. LESSON 1. 1d. the next higher denomination; then dioperation will make £7 11s. 5d.; then diquotient will be the answer; because 1q. is For example, if 1817 apples, at 1d., will amount to £7 11s. 5d., they will amount to one fourth of this sum at a farthing, viz. £1 17s. 10d. 1q. OPERATION. 12/1817d. 20 151s. 5d. 4 7 11s. 5d. Ans. £1 176. 10d. 1q. PROOF. 1q. 1d. 1817 at 1q. 12 454 14. 20 37 10d. Ans. £1 17s. 10d. 1q. |