# 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 - Arithmetic - 422 pages
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### Contents

 Applications of the fundamental rules 85 Method of finding the prime numbers in any series 94 SECTION VII 107 Division of Fractions common method 114 Addition of Fractions 119 33 127 COMPOUND NUMBERS 144 The Standard UNIT of Liquid Measure of the United States 154 Method of determining whether a given year is Leap Year 161 ៩ ៩ ៩៥ ឌ ឌ នគឥតពន្ធ 163 Compound Addition 169 Compound Numbers reduced to Fractions 176 Compound Multiplication 186 DECIMAL FRACTIONS their origin c 194 Contractions in Multiplication of Decimals two cases 206 Compound Numbers reduced to Decimals 215 ADDITION of Circulating Decimals 222 Addition of Federal Money 229 Countingroom Exercises Contractions c 237 Applications of Percentage 244
 109 312 SECTION XIV 313 155 324 Compound Proportion 328 EQUATION OF PAYMENTS 334 General Average 343 161 344 Exchange Form of Bills of Exchange c 355 INVOLUTION and Evolution 365 169 366 Extraction of the Cube Root Horners Method 374 Extraction of Higher Roots 381 Permutations and Combinations 388 Mechanical Powers 394 172 402 313 404 332 410 179 412 393 421 223 422

### Popular passages

Page 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.
Page 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.
Page 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.
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 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.
Page 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.
Page 66 - The number to be divided is called the dividend. The number by which we divide is called the divisor.
Page 270 - Finally, subtract the given principal from the last amount, and the remainder will be the compound interest.
Page 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.
Page 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.