KEY TO CARD No. 27. 4. Division. The number of decimal places in the divisor and quotient counted together, must be equal to those in the dividend. Note 1. If decimal places be wanting in the dividend, annex so many ciphers as you please. 2. If there be decimal places wanting in the quotient, supply the defect by prefixing ciphers. These Rules shall be more fully explained, when we work by them separately. CASE 2. RULE. Multiply the fraction by the denominations of the integer, and point off the decimal parts to the right; the left will be integers; as in Lesson 7. LESSON 10. How many cents in .25 of a dollar ? .25 multiplied by 100 100 cents make 1 dollar, 100 Answer, 25 cents, 25.00 By what rule do we point off decimals in multiplication ? By counting the decimal places in both factors ; that is in the multiplicand and multiplier: Then begin at the right of the product and count so many towards the left as were in the two factors ; there place the point. The figures on the left are integers. See Rule 3. Note.-If there be not so many figures in the product as are in the two factors, supply the defect by prefixing ciphers to the left hand. EXAMPLE Multiply .004 Here are three decimals in the upper .8 factor, and there is one in the lower; Product, .0032 therefore we must have four in the product. REMARKS. It is of importance to know the place of the decimal point ; because decimals decrease in a tenfold proportion towards the right, as whole numbers increase towards the left. By KEY TO CARD No. 27. In the above example, if the cipher had not been prefixed, the number would read .032 thirty-two thousandths.” Whereas the true number is “ thirty-two ten thousandths.” LESSON 11. LESSON 15. In 75 of a shilling how What is the value of .5 of a dollar in cents ? many pence? .75*12 .5x100 12 100 Pence, 9.00 Answer, 50.0 cents. Answer, 9 pence. LESSON 12. LESSON 16. What number of shillings How many shillings in .95 are in .75 of a pound? of a pound? 20 .95 x 20 20 Ans. 15.00s. Shillings, 19.00 Answer, 19 shillings. How many cents in .875 of LESSON 17. a dollar. What is the value of .8125 .875 of a shilling? 100 .8125 12 87.500 Answer, 87.5 cents. Pence, 9.7500 In this result or product it 4 may be observed that the Farthings 3.0000 fraction is five hundred thou Answer, 9d. 39. sandths ; but that is the same LESSON 18. as fifty hundredths, or five What is the proper quantenths. tity of .0625 of a hundred LESSON 14. weight, or 112 pounds ? In .8 of a dollar, how many .0625 cents ? .8 1250 100 6875 Pounds, 7.0000 Answer, 7 pounds. 112. KEY TO CARD No. 27. LESSON 19. LESSON 22. What number of pounds What is the proper value Avoirdupois are in .1875 of||of.1875 of a pound currency? a hundred weight? £ .1875 .1875 20s. 112. Shillings, 3.7500 3750 12 20625 Pence, 9.0000 Pounds, 21.0000 Answer, 3s. 9d. CASE 3. LESSON 23. Reduce 15s. 9d. 39. to the are in .75 of a bushel? How shall we reduce quan75 tities of several denomina60 tions, such as, shillings, pence & farthings; quarters, pounds, Pounds, 45.00 ounces, &c. to a decimal ? Answer, 45 pounds. RULE. 1. Begin a column with the What is the proper value least denomination and proof .790625 of a pound? ceed downwards to the great£.790625 est, thus, 3 9 Shillings, 15.812500 Shillings, 15 12 Pence, 9.750000 Pounds, 21 2 2. Let ciphers be ideally Farthings, 3.000000 annexed as they really are in Answer, 158. 9d. 39. Lessons 3, 4, and 5. 3. Begin at the top and diRead the above question/vide each number by its vathus : “ Seven hundred and lue in the next denomination; ninety thousand six hundred that is, farthings by 4, pence, and twenty-five Millionths. by 12, shillings by 20, &c. pence. When KEY TO CARD No. 28. 4. Place the quotient as a .. 25 decimal part for eachdenom 20 ination next below. For instance, when dividing far .50* things, place the quotient on 40 the right of dividing pence and the deci 100* mals annexed, place the quo 100 tient on the right of shillings, Answer, .628125 &c. The last quotient will be the decimal required. LESSON 25. Reduce 9d. 3q. to the deci41 3. mal of a shilling 12 9.75 4/3. 2015.8125.790625 12 9.75 140 .8125 .181 Answer, .8125 180 LESSON 26. 125 Reduce 3q. to the decimal 120 of a shilling: ..50* 413. 40 120.75 .0625 100* Auswer, .0625 Answer, .790625 of a pound. LESSON 24. LESSON 27, Reduce 12s. 6d. 39. to the Reduce 3s. 6d. to the decidecimal of a pound. mal of a dollar of 8s. 41 3. 1216. 12 6.75 8/3.5 20 12.5625.628125 .4375 120 Answer, .4375 LESSON 28. Reduce 7s. 31. to the deci mal of a dollar of 8 shillings. 162 12|3. 160 .90625 .. 25 continued, Answer. 90625 87.25 KEY TO CARD No. 28. LESSON 29. we reduce the 6d, to the deReduce 2s. 6d. to the deci- cimal of a shilling, viz. .5 and mal of a dollar of 6 shillings. annex this decimal to 7s. thus, 1216. 7.5 6 2.5 2. For placing the point in .41666+4 this answer, see Division, unAnswer, .41666+4 der Lesson ). PROOF BY Case 2. LESSON 31. .41666+4 Reduce 1s. 10d. 29. to the 6 decimal of a dollar Jersey currency Shillings, 2.50000 4/2. 12 12 10.5 7.5/1.875(.25 Answer. Pence, 6.00000 1 50 See Note under Lesson 9. .375 LESSON 30. 375 Reduce 3s. 9d. to the deci LESSON 32. mal of a dollar of 78. 6d. Jersey currency: I wish to prepare £ 25 17s. 12/9. 6d. for a common multiplier 7.5 3.75(.5 Answer. in making out a tedious Re375 turn of Assessments. What is the number requir ed ? Answer, £ 25,875 REMARKS. DIRECTIONS. 1. As 7s. 6d. make a dollar, Reduce the 178. 6d. to the we must divide by it for our|| decimal of a pound, and place last divisor.' And as it can-| the 25 pounds on the left of not be used in its present form, ll the separatrix, END OF PART SEVENȚÅ. |