## Higher Arithmetic; Or, The Science and Application of Numbers: Combining the Analytic and Synthetic Modes of Instruction ... |

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### Contents

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### Common terms and phrases

acres added amount annex answer bank bill bought bushels called cent Change ciphers common common divisor common fraction common multiple compound consequently contained cost cube cubic decimal denominator denotes difference discount divided dividend division divisor dollars dolls duty equal example expressed factors Federal Money feet figure fourth fraction gain gallons gals given number greater greatest hand Hence hundred inches insured interest least common length less loss mean measure method miles mills mixed mixture months multiplicand Multiply Operation paid payable period pound present prime principal proceed proportion quantity quotient ratio reason received Reduce remainder resolved rods root rule shillings side simple sold square subtract third units weight whole number worth Write yard

### Popular passages

Page 66 - The number to be divided is called the dividend. The number by which we divide is called the divisor.

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 268 - Proceed in this manner with each successive year of the proposed time, finally, subtract the given principal from the last amount, and the remainder will be the compound interest.

Page 206 - RULE. Divide as in whole numbers, and from the right hand of the quotient point off as many places for decimals as the decimal places in the dividend exceed those in the divisor.

Page 144 - Federal Money is the currency of the United States. The denominations are, Eagles, Dollars, Dimes, Cents, and Mills. 10 mills (m.) make 1 cent, marked ct. 10 cents " 1 dime, " d. 10 dimes " 1 dollar, " doU. or $. 10 dollars " 1 eagle, " E. OBS. 1. Federal money was established by Congress, Aug. 8, 1786. It i" based upon the principles of the decimal notation.

Page 71 - What is the difference between them? plying and subtracting as before, the remainder is 15. Bringing down the next figure, we have 153 to be divided by 435. But 435 is not contained in 153 ; we therefore place a cipher in the quotient, and bring down the next figure.

Page v - The series is constructed upon the principle, that "there is a place for everything, and everything should be in its proper place." Each work forms an entire treatise in itself ; the examples in each are all different from those in the others, so that pupils who study the series, will not be obliged to purchase the same matter twice, nor to solve the same problems over again.

Page 258 - PHILADELPHIA, Sept. 16th, 1847. 4. .Four months after date, I promise to pay Horace Williams, Eight Hundred and Fifty Dollars, with interest, value received. JOHN C.

Page 259 - 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...

Page 49 - ... 9 times 1 are 9 9 times 2 are 18 9 times 3 are 27 9 times 4 are 36 9 times 5 are 45 9 times 6 are 54 9 times 7 are 63 9 times 8 are 72 9 times 9 are 81 9 times 10 are 90 9 times 11 are 99 9 times 12 are 108...