For since dollar is the money unit; and a dime being the tenth, a cent the hundredth, and a mill the thousandth part of a dollar, or unit, it is evident that any number of dollars, dimes, cents and mills, is simply the expression of dollars, and decimal parts of a dollar: Thus, 11 dollars, 6 dimes, 5 cents,=11,65 or 115 dol. &c. 2. Add the following mixed numbers together. (2) (3) Yards. Ounces. (4) Dollars. 48,9108 1,8191 3,1030 ,7012 5. Add the following sums of dollars together, viz. $12,34565+7,891+2,34+14,+0011. Ans. $36,57775, or $36, 5di. 7cts. 7 mills. 6. Add the following parts of an acre together, viz. ,7569+,25+,654+199 Ans. 1,8599 acres. 7. Add 72,5+32071+2,1574+371,4+2,75 Ans. 480,8784. 8. Add 30,07+200,71+59,4+3207,1 Ans. 3497,28. 9. Add 71,467+27,94—16,084—98,009—86,5 Ans. 300. 10. Add ,7509-,0074-,69-,8408-,6109 11. Add,6—,099,37—,905—,026 Ans. 2,9 Ans. 2 12. To 9,999999 add one millionth part of an unit, and the sum will be 10. 13. Find the sum of Twenty-five hundredths, Three hundred and sixty-five thousandths, Six tenths, and nine millionths, Answer, 1,215009 pass. SUBTRACTION OF DECIMALS. ཨ་༩ ཟླ་ ༥༨ RULE Place the numbers according to their value; then subtract as in whole numbers, and point off the decimals as in addition. Ans. 106,9993 13. From a unit, or 1, subtract the millionth part of itself. Ans. ,999999 ༤༣ MULTIPLICATION OF DECIMALS. RULE 1. Whether they be mixed numbers, or pure decimals, place the factors and multiply them as in whole numbers. 2. Point off so many figures from the product as there are decimal places in both the factors; and if there benot so many places in the product, supply the defect by prefixing cyphers to the left hand. 4. Multiply 2461 by ,0529 130,1869 27485,5 ,000274855 ,000016 5. Multiply 7853 by 3,5 8. What cost 6,21 yards of cloth, at 2 dols. 32 cents, 6 mills Ans. 36,9954 dols. or $36 99cts. 5 âm. 10. Multiply 41 dols. 25 cts. by 120 dollars. 11. Multiply 3 dols. 45 cts. by 16 cts. Ans. $4950. Ans: $0,5520-55cts. 2mills. 12. Multiply 65 cents by ,09 or 9 cents. Ans. 80,0585-5cts. 8mills. 13. Multiply 10 dols. by 10 cts. Ans. $2,39 To multiply by 10, 100, 1000, &c. remove the separating point so many places to the right hand, as the mul tiplier has ciphers. So ,425 Multiplied by 10, makes 4,25 by 100, makes 42,5 1. The places of the decimal parts of the divisor and quotient counted together, must always be equal to those in the dividend, therefore divide as in whole numbers, and from the right hand of the quotient, point off so many places for decimals, as the decimal places in the dividend exceed those in the divisor. 2. If the places in the quotient be not so many as the rule requires, supply the defect by prefixing cyphers to the left hand of said quotient. NOTE. If the decimal places in the divisor be more than those in the dividend, annex as many cyphers to the dividend as you please, so as to make it equal, (at least) to the divisor. Or, if there be a remainder, you may annex cyphers to it, and carry on the quotient to any degree of exactness. 12. Divide 1 dollar by 12 cents. 8,333+ 13. If 21 or 21,75 yards of cloth cost 34,317 dollars, what will one yard cost? $1,577 NOTE. When decimals, or whole numbers, are to be divided by 10, 100, 1000, &c. (viz. unity with cyphers, it is performed by removing the separatrix in the dividend, so many places towards the left hand as there are cyphers in the divisor. To reduce a Vulgar Fraction to its equivalent Decimal. RULE. Annex cyphers to the numerator, and divide by the denominator; and the quotient will be the decimal required. NOTE. So many cyphers as you annex to the given numerator, so many places must be pointed in the quotient; and if there be not so many places of figures in the quotient, make up the deficiency by placing cyphers to the left hand of the said quotient. |