# 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, Bok 6

Ivison, Phinney, 1860 - 422 sider

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### Innhold

 INth Dict on a brief survey of the science of Mathematics 19 Numeration 25 GENERAL RULE for Addition 37 GENERAL RULE for Multiplication 53 GENERAL RULE for Division 71 Different methods of Proving Division 78 CANcelATION 85 Method of finding the prime numbers in any series 102
 Division of Decimals 205 Common Fractions reduced to Decimals 211 SECTION X 217 Subtraction of Circulating Decimals 223 FEDERAL Money 226 Multiplication of Federal Money 232 To find the cost of articles bought and sold by the 100 or 1000 238 Applications of Percentage 244

 Genera principles pertaining to Fractions 109 Addition of Fractions 119 119 Multiplication of Fractions by Cancelation 130 Division of Fractions common method 133 Complex Fractions reduced to Simple ones 139 The Standard for Gold and Silver Coin of the United States 145 The Standard UNIT of Liquid Measure of the United States 154 French Money Weights and Measures 161 Applications of Reduction 169 Longitude reduced to Time c 175 Compound Addition 181 DECIMAL FRACTions their origin c 191 Subtraction of Decimals 198
 General method for computing Interest 252 To compute Interest by the number of days 258 Vermont Rule 264 Compound Interest 270 To find what sum must be discounted to produce a given amount 277 Profit and Loss four Cases 283 Duties Specific and Advalorem 289 To find what sum must be assessed to raise a given net amount 295 Multiplication of Duodecimals 334 Arithmetical Progression 381 Permutations and Combinations 389 Miscellaneous Examples 395

### Populære avsnitt

Side 110 - Multiply all the numerators together for a new numerator, and all the denominators together for a new denominator.
Side 95 - 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 367 - The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides.
Side 47 - ... 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...
Side 332 - X 5'" = 20"'". Hence the RULE. I. Write the several terms of the multiplier under the corresponding terms of the multiplicand. II. Multiply each term of the multiplicand by each term of the multiplier...
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 64 - The number to be divided is called the dividend. The number by which we divide is called the divisor.
Side 143 - Weight is used in weighing gold, silver, jewels, liquors, &c., and is generally adopted in philosophical experiments. 24 grains (gr.) make 1 pennyweight, marked pwt. 20 pennyweights " 1 ounce " oz. 12 ounces " 1 pound,
Side 104 - 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 expressed together; as, 4f, 25-ht.
Side 142 - Britain. 4 farthings (qr, or far.) make 1 penny, marked d. 12 pence " 1 shilling, " s. 20 shillings " 1 pound, or sovereign, £. 21 shillings " 1 guinea. OBS. 1. It is customary, at the present day, to express farthings in fractions of a penny. Thus, 1 qr. is written ;<!;•_