Higher Arithmetic, Or, The Science and Application of Numbers: Combining the Analytic and Synthetic Modes of Instruction : Designed for Advanced Classes in Schools and Academies |
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Page 54
... quotient thus arising is equal to the other factor , the work is right . Note . This method of proof supposes the learner to be acquainted with division before he commences this work . ( Art . 57. Note . ) It is simply re- versing the ...
... quotient thus arising is equal to the other factor , the work is right . Note . This method of proof supposes the learner to be acquainted with division before he commences this work . ( Art . 57. Note . ) It is simply re- versing the ...
Page 66
... quotient . It shows how many times the divisor is contained in the dividend . Hence , it may be said , 112. Division is finding a quotient , which multiplied into the divisor , will produce the dividend . Note . The term quotient is ...
... quotient . It shows how many times the divisor is contained in the dividend . Hence , it may be said , 112. Division is finding a quotient , which multiplied into the divisor , will produce the dividend . Note . The term quotient is ...
Page 68
... quotient only is written , as in the last example , the opera- tion is called SHORT DIVISION . 116. The reason that each quotient figure is of the same order as the figure divided , may be shown in the following manner : Analytic ...
... quotient only is written , as in the last example , the opera- tion is called SHORT DIVISION . 116. The reason that each quotient figure is of the same order as the figure divided , may be shown in the following manner : Analytic ...
Page 69
... quotient . OBS . The reason for placing a cipher in the quotient , is to preserve the true local value of each figure of the quotient . ( Art . 116. ) 118. In order to render the division complete , it is obvious that the whole of the ...
... quotient . OBS . The reason for placing a cipher in the quotient , is to preserve the true local value of each figure of the quotient . ( Art . 116. ) 118. In order to render the division complete , it is obvious that the whole of the ...
Page 70
... quotient , multiply and subtract as before . The answer is 235 cows . 119. When the result of each step in the operation is written down , as in the last example , the process is called LONG DIVISION . Long Division is the same in ...
... quotient , multiply and subtract as before . The answer is 235 cows . 119. When the result of each step in the operation is written down , as in the last example , the process is called LONG DIVISION . Long Division is the same in ...
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Common terms and phrases
acres amount annexed answer required Arithmetic avoirdupois bank discount barrels bbls bought bushels called canceling ciphers CIRCULATING DECIMALS common fraction composite number compound numbers contained cost cube decimal figures decimal places denotes difference Divide the given dividend division dollars dolls Dry Measure equal expressed farthings Federal Money gallons gals given fractions given number greatest common divisor Hence hhds hundred hundredths improper fraction insured interest of $1 least common denominator least common multiple mills mixed number months multiplicand Multiply number of days numerator and denominator Operation partial product payable pence period pound premium present worth prime factors prime number principal quotient rate per cent ratio reduce the given remainder rods root shillings simple fraction sold square subtract tenths thousandths Troy Troy weight units usury weight whole number wine measure yards
Popular passages
Page 371 - The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides.
Page 113 - To reduce an improper fraction to a whole, or mixed number. Divide the numerator by the denominator, and the quotient will be the whole, or mixed number required.
Page 113 - To reduce a mixed number to an improper fraction. Multiply the whole number by the denominator of the fraction, and to the product add the given numerator.
Page 99 - The greatest common divisor of two or more numbers, is the greatest number which will divide them without a remainder. Thus 6 is the greatest common divisor of 12, 18, 24, and 30.
Page 261 - 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 263 - Compute the interest to the time of the first payment ; if that be one year or more from the time the interest commenced, add it to the principal, and deduct the payment from the sum total. If there be after payments made, compute the interest on the balance due to the next payment, and then deduct the payment as above; and in like manner from one payment to another, till all the payments are absorbed; provided the time between one payment and another be one year or more.
Page 66 - The number to be divided is called the dividend. The number by which we divide is called the divisor.
Page 270 - Finally, subtract the given principal from the last amount, and the remainder will be the compound interest.
Page 394 - These are usually accounted six in number, viz. the Lever, the Wheel and Axle, the Pulley, the Inclined Plane, the Wedge, and the Screw.
Page 368 - Multiply the divisor, thus increased, by the last figure of the root; subtract the product from the dividend, and to the remainder bring down the next period for a new dividend.