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 7
... stands thus : 90.000.461.012 . Write the following numbers : Nine millions , seventy - two thousand , and two hundred ... stand in the place of units , it has a local value , which varies according to its distance from the unit's place ...
... stands thus : 90.000.461.012 . Write the following numbers : Nine millions , seventy - two thousand , and two hundred ... stand in the place of units , it has a local value , which varies according to its distance from the unit's place ...
Page 16
... standing in the place of tens , its product will be ten times as great as if it stood in the place of units ; and by removing ... stand . 2. Multiplicand Multiplier 75628 409 ( 3 ) 64285 ( 4 ) 48053 64 82 680652 302512 Product 30931852 5 ...
... standing in the place of tens , its product will be ten times as great as if it stood in the place of units ; and by removing ... stand . 2. Multiplicand Multiplier 75628 409 ( 3 ) 64285 ( 4 ) 48053 64 82 680652 302512 Product 30931852 5 ...
Page 21
... stands in the fourth place , and is therefore thousands , 4 is con- tained in it 2000 times , with a re- mainder of 1000. † In order to divide this remainder , we unite to it the next figure , ( 3 , ) which , stand- ing in the place of ...
... stands in the fourth place , and is therefore thousands , 4 is con- tained in it 2000 times , with a re- mainder of 1000. † In order to divide this remainder , we unite to it the next figure , ( 3 , ) which , stand- ing in the place of ...
Page 29
... stands in the place of hundreds , the product of the other two figures is set two places to- ward the right . ( i ) ( 2 ) ... stand , or which one of them is first multiplied by ; the value of the products depending alone on their local ...
... stands in the place of hundreds , the product of the other two figures is set two places to- ward the right . ( i ) ( 2 ) ... stand , or which one of them is first multiplied by ; the value of the products depending alone on their local ...
Page 42
... stand under each other ; add the several columns con- taining the different denominations , separately , beginning with the lowest ; and divide the sum of each by the num- ber of that denomination , which makes one of the next higher ...
... stand under each other ; add the several columns con- taining the different denominations , separately , beginning with the lowest ; and divide the sum of each by the num- ber of that denomination , which makes one of the next higher ...
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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.