A Practical and Theoretical System of Arithmetic: Containing Several New Methods of Operation, and a New System of Proportion; with Theoretical Explanations of All the Principal Rules. Also, a Treatise on Mensuration, and a Brief Practical System of Book-keeping |
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Page 31
... sides of the line are divisible by a com- mon number . When the division is finished , the numbers re- maining in the dividend are multiplied , and their product di- vided by the product of those remaining in the divisor . 15. 80 × 9 ...
... sides of the line are divisible by a com- mon number . When the division is finished , the numbers re- maining in the dividend are multiplied , and their product di- vided by the product of those remaining in the divisor . 15. 80 × 9 ...
Page 32
... sides of which are each 63 rods in length , and the other two are each 42 rods ; allowing 9 rails to a rod , how many will be required to fence the field ? and if there are 7 rails to a length , how many lengths will there be ? Ans ...
... sides of which are each 63 rods in length , and the other two are each 42 rods ; allowing 9 rails to a rod , how many will be required to fence the field ? and if there are 7 rails to a length , how many lengths will there be ? Ans ...
Page 54
... side of the line , and dividing 35 by 7 , we have the answer in the lowest terms . 3. Find the simple expression for 3 of 5 of 8 dollars . Ans . 10 , or $ 3 . In this example , dividing the 9 by 3 , and the 8 by 4 , the fraction will ...
... side of the line , and dividing 35 by 7 , we have the answer in the lowest terms . 3. Find the simple expression for 3 of 5 of 8 dollars . Ans . 10 , or $ 3 . In this example , dividing the 9 by 3 , and the 8 by 4 , the fraction will ...
Page 83
... sides 12 ft . 9 ' ; what is the other side ? 4'6 " .375 9 ' = .75 and 210.375 12.75-16.5 or 16 ft . 6 in . Ans . If a board 14 ft . 6 ' long contain 13 ft . 3'6 " , what is its width ? Ans . 11 inches . As duodecimals can with equal ...
... sides 12 ft . 9 ' ; what is the other side ? 4'6 " .375 9 ' = .75 and 210.375 12.75-16.5 or 16 ft . 6 in . Ans . If a board 14 ft . 6 ' long contain 13 ft . 3'6 " , what is its width ? Ans . 11 inches . As duodecimals can with equal ...
Page 99
... side of the line than on the other , they may be balanced by adding ciphers to any number on the opposite side ; or an inverted comma may be used to distinguish them from integers . Taking for illustration the last question ; the ...
... side of the line than on the other , they may be balanced by adding ciphers to any number on the opposite side ; or an inverted comma may be used to distinguish them from integers . Taking for illustration the last question ; the ...
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Common terms and phrases
acres added amount annuity annum barrels bought bushels of oats bushels of wheat cents a bushel ciphers compound interest Compound Numbers contain cube root cubic currency decimal point denote diameter divide the product dividend division divisor dollars equal example Federal Money feet long Find the cube Find the interest gallons given number hours a day hypotenuse improper fraction inches integer least common multiple length less lowest terms method miles mills minuend mixed number months multiplicand Multiply number of terms paid payment perpendicular piece pound principal quantity question quotient ratio Reduce remainder Required the interest rhombus right-angled rods Rule of Three RULE.-Multiply separatrix share shillings sides simple solid square root statement subtract third term tion triangle Troy Weight units vulgar fraction weight whole number yards cost yards of cloth
Popular passages
Page 164 - Divide the difference of the extremes by the common difference, and the quotient increased by 1 is the number of terns. EXAMPLES. 1. If the extremes be 3 and 45, and the common difference 2 ; what is the number of terms 1 Ans.
Page 62 - Multiplying or dividing both terms of a fraction by the same number does not change its value.
Page 164 - PROBLEM II. The first term, the last term, and the number of terms given, to find the common difference. RULE. — Divide the difference of the extremes by the number of terms less 1 , and the quotient will be the common diffcrenct.
Page 174 - To find the area of a trapezoid. RULE. Multiply half the sum of the two parallel sides by the perpendicular distance between them : the product will be the area.
Page 158 - Bring down the first figure of the next period to the remainder for a new dividend, to which find a new divisor as before, and in like manner proceed till the whole be finished.
Page 105 - If 8 men can build a wall 20 feet long, 6 feet high and 4 feet thick, in 12 days ; in what time...
Page 53 - To reduce a mixed number to an improper fraction, — RULE : Multiply the whole number by the denominator of the fraction, to the product add the numerator, and write the result over the denominator.
Page 117 - It is evident that the terms of a proportion may undergo any change which will not destroy the equality of the ratios ; or which will leave the product of the means equal to the product of the extremes.
Page 124 - The rule for casting interest, when partial payments have been made, is to apply the payment, in the first place, to the discharge of the interest then due.
Page 51 - When the numerator is less than the denominator, the value of the fraction is less than 1.