# Higher Arithmetic: Or, The Science and Application of Numbers; Combining the Analytic and Synthetic Modes of Instruction ...

Ivison & Phinney, 1847 - Arithmetic - 422 pages
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### Contents

 Method of finding the prime numbers in any series 94 Greatest Common Divisor two methods 107 Division of Fractions common method 114 Addition of Fractions 119 33 127 SECTION VIII 144 The Standard UNIT of Liquid Measure of the United States 154 Method of determining whether a given year is Leap Year 161 122588 167 66 169 Compound Numbers reduced to Fractions 176 Compound Subtraction 183 Compound Division 189 Addition of Decimals 196 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 Applications of Percentage 244
 109 312 RATIO general principles pertaining to 321 155 324 Simple Proportion and its Proof by Cancelation 328 SECTION XV 334 Partnership 340 Foreign Coins and Moneys of Account 348 161 349 Exchange Form of Bills of Exchange c 355 INVOLUTION and Evolution 365 169 366 Extraction of the Cube Root Horners Method 374 Arithmetical Progression 381 SECTION XVIII 389 Miscellaneous Examples 395 172 402 313 404 332 410 179 412 393 421 223 422

### 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 239 - ... dividend, as many places to the left as there are ciphers in the divisor.
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 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.
Page 76 - In the same manner it may be shown, that removing two ciphers from the right of a number, divides it by 100; removing three, divides it by 1000 ; removing four, divides it by 10000, &c.
Page 206 - RULE. Divide as in whole numbers, and from the right hand of the quotient point off as many places for decimals as the decimal places in the dividend exceed those in the divisor.
Page 261 - 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 316 - ... multiplying or dividing both the numerator and denominator by the same number, does not alter the value of the fraction.
Page 50 - Multiplying ly any whole number, is taking the multiplicand as many times, as there are units in the multiplier.
Page 108 - An improper fraction is one whose numerator is equal to, or greater than its denominator ; as, •f , if.