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 5
... whole are re- peated , the second order is again increased , and becomes 30. After the nine digits have all in succession been used in the second crder , we are carried in numbering up to 99 , or , nine tens and nine ; then the ...
... whole are re- peated , the second order is again increased , and becomes 30. After the nine digits have all in succession been used in the second crder , we are carried in numbering up to 99 , or , nine tens and nine ; then the ...
Page 7
... whole number stands thus : 90.000.461.012 . Write the following numbers : Nine millions , seventy - two thousand , and two hundred . Eight hundred millions , forty - four thousand , and fifty- fire . Eight billons , sixty - five ...
... whole number stands thus : 90.000.461.012 . Write the following numbers : Nine millions , seventy - two thousand , and two hundred . Eight hundred millions , forty - four thousand , and fifty- fire . Eight billons , sixty - five ...
Page 11
... whole amount . * ( 1 ) ( 2 ) ( 3 ) 53 291 6432 ( 4 ) 346977 52 851 9478 413339 13 152 1666 328012 89 698 7412 877543 Sum 207 1992 24988 1965871 The reason of carrying for the tens , is obvious from the system of notation already ...
... whole amount . * ( 1 ) ( 2 ) ( 3 ) 53 291 6432 ( 4 ) 346977 52 851 9478 413339 13 152 1666 328012 89 698 7412 877543 Sum 207 1992 24988 1965871 The reason of carrying for the tens , is obvious from the system of notation already ...
Page 12
... whole minuend , by as much as we add ; to balance which , and preserve the relative value of the two numbers , 1 is added to the next lower figure , or ( which has the same effect ) 1 is taken from the next upper figure . Adding the ...
... whole minuend , by as much as we add ; to balance which , and preserve the relative value of the two numbers , 1 is added to the next lower figure , or ( which has the same effect ) 1 is taken from the next upper figure . Adding the ...
Page 12
... whole estate ? Ans . $ 8329.75 . 6. If I owe to A , 60 dollars and 8 cents ; to B , 12 dol- lars more than that sum ; and to C , 75 cents more than to both the others : how much do I owe them all ? Ans . $ 265 07 . 7. What is the amount ...
... whole estate ? Ans . $ 8329.75 . 6. If I owe to A , 60 dollars and 8 cents ; to B , 12 dol- lars more than that sum ; and to C , 75 cents more than to both the others : how much do I owe them all ? Ans . $ 265 07 . 7. What is the amount ...
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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...