# 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

Ivison & Phinney, 1855 - 422 σελίδες

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### Περιεχόμενα

 SECTION I 19 Formation of different systems of Notation 31 GENERAL RULE for Addition 37 GENERAL RULE for Subtraction 44 GENERAL RULE for Multiplication 53 GENERAL RULE for Division 71 Different methods of Proving Division 81 SECTION VI 89
 Addition of Decimals 196 Division of Decimals 206 Compound Numbers reduced to Decimals 215 3 222 FEDERAL Monry 229 Countingroom Exercises Contractions c 237 Analytic solutions of questions in Simple Proportion 301 Analytic solutions of questions in Compound Proportion 307

 Numbers changed from the decimal to other scales of Notation 102 General principles pertaining to Fractions 109 Addition of Fractions 119 Multiplication of Fractions by Cancelation 130 Compound NUMBERs 144 The Standard UNIt of Length of the United States 150 Method of determining whether a given year is Leap Year 157 Goreign Weights and Measures compared with United States 163 Applications of Reduction 169 Longitude reduced to Time c 175 Compound Addition 181 Compound Division 189
 Ratio general principles pertaining to it 313 Simple Proportion 321 25 328 SECTION XV 334 Partnership 340 Foreign Coins and Moneys of Account 348 Exchange Form of Bills of Exchange c 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

### Δημοφιλή αποσπάσματα

Σελίδα 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.
Σελίδα 66 - The number to be divided is called the dividend. The number by which we divide is called the divisor.
Σελίδα 368 - Multiply the divisor, thus augmented, by the last figure of the root, and subtract the product from the dividend, and to the remainder bring down the next period for a new dividend.
Σελίδα 387 - It is evident, that the present worth of \$ 2 annuity is 2 times as much as that of \$ 1 ; the present worth of \$ 3 will be 3 times as much, &c. Hence, to find the present worth of any annuity...
Σελίδα 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...
Σελίδα 216 - To reduce a decimal compound number to whole numbers of lower denominations. Multiply the given decimal by that number which it takes of the next lower denomination to make ONE of this higher, as in reduction, and point off the product, as in multiplication of decimal fractions.
Σελίδα 393 - These are usually accounted six in number, viz. the Lever, the Wheel and Axle, the Pulley, the Inclined Plane, the Wedge, and the Screw.
Σελίδα 390 - CIRCLE is a plane figure bounded by a curved line, all the points of which are equally distant from a point within called the centre; as the figure ADB E.
Σελίδα 17 - The sign, + , which is read plus, indicates that the numbers between which it is placed are to be added ; thus, 6 + 4, means, that 4 is to be added to 6.
Σελίδα 108 - An improper fraction is one whose numerator is equal to, or greater than its denominator ; as, f , £. A mixed number is a whole number and a fraction erpressed together; as, 4-}, 25-H-.