# 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

M.H. Newman & Company, 1848 - 422 σελίδες

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### Περιεχόμενα

 SECTION I 19 GENERAL RULE for Addition 33 Adding numbers expressed by the Roman Notation 40 º Position 44 Different methods of proving Subtraction 47 GENERAL RULE for Multiplication 53 GENERAL RULE for Division 71 Different methods of Proving Division 78
 ADDITION of Circulating Decimals 222 Addition of Federal Money 229 Countingroom Exercises Contractions c 239 General method for computing Interest 263 Compound Interest 270 To find what sum must be discounted to produce a given amount 282 Profit and Loss four Cases 292 Practice 309

 Applications of the fundamental rules 85 Method of finding the prime numbers in any series 94 FRActions 107 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 Foreign Weights and Measures compared with United States 163 DECIMAL FRACTions their origin c 191 Subtraction of Decimals 198 Division of Decimals 206 Compound Numbers reduced to Decimals 215
 Ratio general principles pertaining to it 321 Simple Proportion and its Proof by Cancelation 328 SECTION XV 334 Partnership 340 Foreign Coins and Moneys of Account 348 Exchange Form of Bills of Exchange c 355 Analytic solutions of questions in Simple Proportion 356 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 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.
Σελίδα 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.
Σελίδα 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.
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 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.
Σελίδα 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.
Σελίδα 66 - The number to be divided is called the dividend. The number by which we divide is called the divisor.
Σελίδα 270 - Finally, subtract the given principal from the last amount, and the remainder will be the compound interest.
Σελίδα 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.
Σελίδα 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.