The University Arithmetic: Embracing the Science of Numbers, and Their Numerous ApplicationsA.S. Barnes & Company, 1846 - 399 pages |
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Page ix
... Greatest Common Divisor .... 109-114 Second Method of finding . Least Common Multiple 112-114 114-117 First Method of finding .. 115-116 Second Method .... 116-117 Reduction of Vulgar Fractions .. 117-128 Reduction of Denominate ...
... Greatest Common Divisor .... 109-114 Second Method of finding . Least Common Multiple 112-114 114-117 First Method of finding .. 115-116 Second Method .... 116-117 Reduction of Vulgar Fractions .. 117-128 Reduction of Denominate ...
Page 109
... divisor . Therefore , when both terms of a fraction are divided by the same number , the decrease from dividing the numerator will be just equal to the increase ... divisor , it GREATEST COMMON DIVISOR . 109 Greatest Common Divisor 109-114.
... divisor . Therefore , when both terms of a fraction are divided by the same number , the decrease from dividing the numerator will be just equal to the increase ... divisor , it GREATEST COMMON DIVISOR . 109 Greatest Common Divisor 109-114.
Page 110
... divisor , it is necessary to explain some principles on which the method depends . One number is said to be a multiple of another when it contains that other an exact number of times . Thus , 24 is ... greatest 110 GREATEST COMMON DIVISOR .
... divisor , it is necessary to explain some principles on which the method depends . One number is said to be a multiple of another when it contains that other an exact number of times . Thus , 24 is ... greatest 110 GREATEST COMMON DIVISOR .
Page 111
... greatest common divisor of the num- bers 216 and 408 . OPERATION . 216 ) 408 ( 1 216 192 ) 216 ( 1 192 24 ) 192 ( 8 It is evident that the greatest com- mon divisor cannot be greater than the least number ... GREATEST COMMON DIVISOR . 111.
... greatest common divisor of the num- bers 216 and 408 . OPERATION . 216 ) 408 ( 1 216 192 ) 216 ( 1 192 24 ) 192 ( 8 It is evident that the greatest com- mon divisor cannot be greater than the least number ... GREATEST COMMON DIVISOR . 111.
Page 112
... greatest common divisor of more than two numbers , find first the greatest common divisor of two of them , then of that common divisor and one of the remaining numbers , and so on for all the numbers : the last common divisor will be the ...
... greatest common divisor of more than two numbers , find first the greatest common divisor of two of them , then of that common divisor and one of the remaining numbers , and so on for all the numbers : the last common divisor will be the ...
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Common terms and phrases
acres amount annexed apples arithmetical avoirdupois barrels bill bushel called carats Cash cent per annum ciphers circulating decimals common denominator composite number contain cube root cubic inches Day-book decimal fraction denominate numbers Divide dividend division dollars ells equal exact number EXAMPLES excess of 9's exchange expressed feet figures Find the least four fourth gallons given number gives greater greatest common divisor Hence hogshead hundred improper fraction least common multiple less lowest terms measure merchant method miles millions mills minuend mixed number months multiplicand number of days number of terms numerator and denominator OPERATION paid payable payment pence pound prime factors proper fraction QUEST.-How QUEST.-What quotient Reduce remainder Repeat the table repetend shillings simple fraction square root subtract tare tens third thousand thousandths troy troy weight vulgar fraction weight whole number yards of cloth
Popular passages
Page 38 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds.
Page 287 - ... then the above obligation to be void ; otherwise to remain in full force and virtue.
Page 163 - 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...
Page 287 - THE CONDITION of the above obligation is such, that if the above bounden James Wilson and Thomas Ash, their heirs, executors, or administrators, shall well and truly pay or cause to be paid, unto the above named John Pickens, his executors, administrators, or assigns, the just and full sum of Here insert the condition.
Page 118 - To reduce an improper fraction to a whole or mixed number, Divide the numerator by the denominator.
Page 69 - We have seen that multiplying by a whole number is taking the multiplicand as many times as there are units in the multiplier.
Page 162 - RULE. Divide as in whole numbers, and from the right hand of the quotient point off as many places for decimals as the decimal places in the dividend exceed those in the divisor.
Page 286 - The condition of the above obligation is such, that if the above bounden А. В., his heirs, executors or administrators, shall well and truly pay, or cause to be paid unto the above named...
Page 237 - Compute the interest on the principal to the time of the first payment, and if the payment exceed this interest, add the interest to the principal and from the sum subtract the payment : the remainder forms a new principal.
Page 158 - Now, to express the 6 thousandths decimally, we have to prefix two ciphers to the 6, and this makes as many decimal places in the product as there are in both multiplicand and multiplier.