Arithmetic: Designed for Academies and Schools
A.S. Barnes, 1841 - 340 pages
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acres added addition amount annex apples barrels base Bought bushels called carry cent per annum ciphers common common denominator common divisor contains cord cost cube root Currency decimal denominate number denominator diameter difference divided dividend division dollars equal EXAMPLES expressed Federal Money feet figures foot formed four fraction gallon given gives greater greatest half hand Hence higher hogshead hundred inches interest June less lowest measure merchant miles mills minutes mixed months multiply OPERATION paid payment pence periods persons piece pounds principal proportion quotient receive Reduce remainder root RULE sell share shillings sold solid square square root subtract sugar Suppose TABLE tens term things third thousand thousandths units weight whole number wine worth write yards of cloth York
Page 174 - Hence, for the division of decimals we have the following RULE. Divide as in simple numbers, and point off in the quotient, from the right hand, so many places for decimals as the decimal places in the dividend exceed those in the divisor; and if there are not so many, supply the deficiency ly prefixing ciphers.
Page 106 - 69. The denominations of time are years, months, weeks, days, hours, minutes, and seconds. 60 seconds sec. make 1 minute, marked m. 60 minutes - - - - 1 hour, - - - - hr. 24 hours 1 day, - - - - da. 7 days 1 week,
Page 175 - 13O. NOTE 1. When any decimal number is to be divided by 10, 100, 1000, &c. the division is made by removing the decimal point as many places to the left as there are O's in the divisor ; and if there be not so many figures on the left of the decimal point, the deficiency must be supplied by prefixing ciphers.
Page 255 - CASE I. § 185. To extract the cube root of a whole number. RULE. I. Point off the given number into periods of three figures each, by placing a dot over the place of units, a second over the place of thousands, and so on to the left : the left hand period will often contain less than
Page 107 - year. Thirty days hath September, April, June, and November; All the rest have thirty-one, Excepting February, twenty-eight alone. Q. What are the denominations of Time? How long
Page 106 - MEASURE. § 68. Dry measure is used in measuring all dry articles, such as grain, fruits, roots, salt, coal, &c. Its denominations are chaldrons, bushels, pecks, quarts, and pints. TABLE. 2 pints pt. make 1 quart, marked qt. 8 quarts - 1 peck, - pk. 4 pecks - 1 bushel, - bu. 36 bushels - 1 chaldron, - ch. ch. bu. pk. qt. pt. 1=36
Page 89 - 4 farthings marked far. make 1 penny marked d. 12 pence 1 shilling - s. 20 shillings - - - 1 pound - £. 21 shillings - - - 1 guinea £ sd far. 1 = 20 = 240 = 960 1 = 12 = 48 1 = 4 NOTE.—Farthings are generally expressed in fractions of a penny. Thus, for 1 farthing we write
Page 249 - III. Double the root already found and place it on the left for a divisor. Seek how many times the divisor is contained in the dividend, exclusive of the right hand figure, and place the figure in the root and also at the right of the divisor.
Page 249 - V. Double the whole root already found, for a new divisor, and continue the operation as before, until all the periods are brought down. Q. What is required when we wish to extract the square root of a number ? What is the greatest square of a single figure
Page 136 - dividing the greater by the less, then dividing the divisor by the remainder, and continuing to divide the last divisor by the last remainder until nothing remains. The last divisor will be the greatest common divisor sought. Q. Will the common divisor of two numbers divide their