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

Ivison & Phinney, 1848 - 422 sider

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### Innhold

 Numbers changed from the decimal to other scales of Notation 97 FRActions 107 Addition of Fractions 119 Multiplication of Fractions by Cancelation 130 SECTION VIII 144 The Standard UNIT of Length of the United States 150 Method of determining whether a given year is Leap Year 157 Foreign Weights and Measures compared with United States 163 Applications of Reduction 169 Compound Numbers reduced to Fractions 176 Compound Subtraction 183 Compound Division 189 Addition of Decimals 196 Division of Decimals 206 Compound Numbers reduced to Decimals 215
 Profit and Loss four Cases 292 ANALYsis 298 Analytic solutions of questions in Compound Proportion 308 Simple Proportion 321 Compound Proportion 328 SECTION XV 334 Partnership 340 Analytic solutions of questions 348 Arbitration of Exchange 355 Properties of Squares and Cubes 365 Extraction of the Cube Root Horners Method 374 SECTION XVIII 381 Permutations and Combinations 388 Mechanical Powers 394

### Populære avsnitt

Side 66 - The number to be divided is called the dividend. The number by which we divide is called the divisor.
Side 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.
Side 266 - 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.
Side 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.
Side 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.
Side 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.
Side 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.
Side 256 - 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.
Side 257 - 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...
Side 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...