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 10
... answer to be given . SIMPLE ADDITION . ADDITION is putting together several smaller numbers to find their amount , or sum total : thus , 4 dollars and 8 dol- lars in one sum , are 12 dollars . Numbers to be added to each other are ...
... answer to be given . SIMPLE ADDITION . ADDITION is putting together several smaller numbers to find their amount , or sum total : thus , 4 dollars and 8 dol- lars in one sum , are 12 dollars . Numbers to be added to each other are ...
Page 13
... can you assign for your answer ? What relation has Subtraction to Addition ? What affect has subtraction on the minuend ? SIMPLE MULTIPLICATION . MULTIPLICATION is increasing or repeating the greater SIMPLE SUBTRACTION . 13.
... can you assign for your answer ? What relation has Subtraction to Addition ? What affect has subtraction on the minuend ? SIMPLE MULTIPLICATION . MULTIPLICATION is increasing or repeating the greater SIMPLE SUBTRACTION . 13.
Page 24
... answer . To find the true render , † multiply the first divisor and last remainder together , and to the product add the first remainder . 1. Divide 182641 by 72 . 72 = 9 × 8 9 ) 182641 First divisor 9 Last remainder 5 8 ) 20293-4 45 ...
... answer . To find the true render , † multiply the first divisor and last remainder together , and to the product add the first remainder . 1. Divide 182641 by 72 . 72 = 9 × 8 9 ) 182641 First divisor 9 Last remainder 5 8 ) 20293-4 45 ...
Page 28
... Answer . 2. How many barrels of flour at $ 53 , can be bought with $ 500 ? Ans . 8633 3. 31 gallons to the barrel , how many barrels in 485 gallons ? Ans . 1535 . II . Operations in arithmetic , may often be considerably shortened , by ...
... Answer . 2. How many barrels of flour at $ 53 , can be bought with $ 500 ? Ans . 8633 3. 31 gallons to the barrel , how many barrels in 485 gallons ? Ans . 1535 . II . Operations in arithmetic , may often be considerably shortened , by ...
Page 49
... answer is somewhat more , which cannot be conveniently expressed , or is too inconsiderable to be regarded . The remainder here , might have been set above the divisor in the usual way , making 27 of a nail . VULGAR FRACTIONS . A ...
... answer is somewhat more , which cannot be conveniently expressed , or is too inconsiderable to be regarded . The remainder here , might have been set above the divisor in the usual way , making 27 of a nail . VULGAR FRACTIONS . A ...
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Common terms and phrases
acres added amount angles annuity annum barrels bought bushels bushels of oats bushels of wheat cents a bushel ciphers compound interest Compound Numbers contain cube root cubic currency decimal point diameter divide the product dividend division divisor dollars equal example Federal Money feet long Find the interest gallons given number hand figures 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 period 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 side simple solid square root statement subtract subtrahend third term triangle unit's place units vulgar fraction weight whole number yards cost yards of cloth
Popular passages
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 62 - Multiplying or dividing both terms of a fraction by the same number does not change its value.
Page 51 - When the numerator is less than the denominator, the value of the fraction is less than 1.
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. If the payment exceeds the interest, the surplus goes towards discharging the principal, and the subsequent interest is to be computed on the balance of principal remaining due.
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 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 82 - RULE. I. Write the several terms of the multiplier under the corresponding terms of the multiplicand. II. Multiply each term of the multiplicand by each term of the multiplier, beginning with the lowest term in each, and call the product of any two denominations the denomination denoted by the sum of their indices, carrying 1 for every 12.
Page 159 - Alligation alternate is the method of finding what quantity of any number of simples, whose rates are given, will compose a mixture of a given rate ; so that it is the reverse of Alligation medial, and may be proved by it. RULE 1.* 1. Write the rates of the simples in a column under each other.
Page 145 - Extract the root of the numerator for a new numerator, and the root of the denominator, for a new denominator 2.
Page 124 - If the payment exceeds the interest, the surplus goes towards discharging the principal, and the subsequent interest is to be computed on the balance of principal remaining due. If the payment be less than the interest, the surplus of interest must not be taken to augment the principal, but interest continues on the former principal until the period when the payments taken together exceed the interest due, and then the surplus is to be applied towards discharging the principal, and interest is to...