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

Ivison & Phinney, 1847 - 422 σελίδες

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### Περιεχόμενα

 Applications of the fundamental rules 85 Division of Fractions common method 133 89 Method of finding the prime numbers in any series 94 FRActions 107 Addition of Fractions 119 Multiplication of Fractions by Cancelation 130 Division of Fractions by Cancelation 136 SECTION VIII 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 Applications of Reduction 169 Compound Numbers reduced to Fractions 176 Compound Subtraction 183 Compound Division 189 Addition of Decimals 196
 Profit and Loss four Cases 292 SECTION XIII 298 Ratio general principles pertaining to it 299 Simple Proportion and its Proof by Cancelation 307 Compound Proportion and its Proof by Cancelation 332 Equation of PAYMENTs 338 Exchange of Currencies 345 Exchange Form of Bills of Exchange c 355 SECTION X 360 INvolution and Evolution 365 Extraction of the Cube Root Horners Method 374 Arithmetical Progression 381 Permutations and Combinations 388 Mechanical Powers 394 ADDITION of Circulating Decimals 412

### Δημοφιλή αποσπάσματα

Σελίδα 264 - Proceed in this manner with each successive year of the proposed time, finally, subtract the given principal from the last amount, and the remainder will be the compound interest.
Σελίδα 66 - The number to be divided is called the dividend. The number by which we divide is called the divisor.
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 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 369 - Multiply the divisor, thus augmented, by the last figure of the root, and subtract the product from the dividend, and to the remainder bring down the next period for a new dividend.
Σελίδα 49 - ... 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 108...
Σελίδα 110 - If the numerator and denominator of each fraction is multiplied (or divided) by the same number, the value of the fraction will not change.
Σελίδα 200 - 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.
Σελίδα 363 - The square of the sum of two numbers is equal to the square of the first number plus twice the product of the first and second number plus the square of the second number.