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

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### Common terms and phrases

acres amount Analysis annexed answer required Arithmetic assessed avoirdupois bank discount barrel 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 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 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...