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 16
... half a day ; how many times does it strike in 365 days ? Ans . 56940 . III . When there are ciphers on the right hand of either or both of the factors . RULE . Place the significant figures under each other , and multiply them ; and to ...
... half a day ; how many times does it strike in 365 days ? Ans . 56940 . III . When there are ciphers on the right hand of either or both of the factors . RULE . Place the significant figures under each other , and multiply them ; and to ...
Page 32
... half a share ( amounting to $ 41 ) was paid down , and the residue in 3 months : how many men were there ? Ans . 80 men . 9. A field is to be fenced , two sides of which are each 63 rods in length , and the other two are each 42 rods ...
... half a share ( amounting to $ 41 ) was paid down , and the residue in 3 months : how many men were there ? Ans . 80 men . 9. A field is to be fenced , two sides of which are each 63 rods in length , and the other two are each 42 rods ...
Page 41
... half a pipe of wine ? Ans . 72 of each . 19. If a barrel of beer be retailed at 3 cents the half pint , how much will it amount to ? 20. In 20571005 drams , how many tons ? Ans . $ 17.28 . Ans . 35 T. , 17 cwt . , 1 qr . , 23 lb. , 7 oz ...
... half a pipe of wine ? Ans . 72 of each . 19. If a barrel of beer be retailed at 3 cents the half pint , how much will it amount to ? 20. In 20571005 drams , how many tons ? Ans . $ 17.28 . Ans . 35 T. , 17 cwt . , 1 qr . , 23 lb. , 7 oz ...
Page 50
... half ; if into 3 equal parts , each of the parts is called a third ; if into 4 equal parts , each of the parts is called a fourth ; if into 10 equal parts , each of the parts is called a tenth ; and so on , into whatever number of parts ...
... half ; if into 3 equal parts , each of the parts is called a third ; if into 4 equal parts , each of the parts is called a fourth ; if into 10 equal parts , each of the parts is called a tenth ; and so on , into whatever number of parts ...
Page 53
... half , the number taken , ( designated by the numerator , ) is correspondently increased . Reversing the process , and dividing continually by 2 , will of course , restore the original fraction ; 64 ÷ 2 = 32 , 32 , 1/6 , 1 , 4 , 1 . 8 4 ...
... half , the number taken , ( designated by the numerator , ) is correspondently increased . Reversing the process , and dividing continually by 2 , will of course , restore the original fraction ; 64 ÷ 2 = 32 , 32 , 1/6 , 1 , 4 , 1 . 8 4 ...
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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.