# 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, 1860 - Arithmetic - 422 pages
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### Contents

 Applications of the fundamental rules 85 Method of finding the prime numbers in any series 107 Division of Fractions common method 114 Addition of Fractions 119 34 127 71 140 COMPOUND NUMBERS 144 Method of determining whether a given year is Leap Year 161 74 163 Com ound Multiplication 169 Compound Numbers reduced to Fractions 176 81 182 SECTION IX 191 Subtraction of Decimals 198 83 202 Contractions in Multiplication of Decimals two cases 206 Compound Numbers reduced to Decimals 215 ADDITION of Circulating Decimals 222 89 229 94 236 Countingroom Exercises Contractions 237
 109 312 154 324 DUODECIMALS its principles c 334 Partnership 340 161 344 Foreign Coins and Moneys of Account 348 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 394 115 401 172 402 313 404 179 409 332 410 122 416 393 421 223 422

### Popular passages

Page 108 - Multiply all the numerators together for a new numerator, and all the denominators together for a new denominator.
Page 93 - 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 365 - 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 43 - ... 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...
Page 330 - 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...
Page 255 - 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...
Page 60 - The number to be divided is called the dividend. The number by which we divide is called the divisor.
Page 141 - 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,
Page 102 - 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.
Page 140 - 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 ;<!;•_