# A Treatise on Arithmetic, Combining Analysis and Synthesis: Adapted to the Best Mode of Instruction in Common Schools and Academies

Brown, Taggard & Chase, 1857 - 355 σελίδες

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### Περιεχόμενα

 ARITHMETIC 1 Tables 39 Vulgar Fractions 67 11 Decimal Fractions 98 Compound Addition 112 Compound Multiplication 119 Interest 138 Commission 147
 294 200 Single Position 201 307 208 Evolution 210 38 Square Root 218 Cube Root 228 Extraction of Roots of All Degrees 239 42 Geometrical Progression 247

 Compound Equation of Payments 155 Ratio 171 Profit and Loss 178 Partnership 185 Alligation 193
 Permutations Arrangements and Combinations 260 Circulating Decimals 286 Changes in Proportion 294 Application of Arithmetic to Geometry 307 Gauging 338

### Δημοφιλή αποσπάσματα

Σελίδα 26 - The number to be divided is called the dividend. The number by which we divide is called the divisor.
Σελίδα 72 - To reduce a mixed number to an improper fraction, — RULE : Multiply the whole number by the denominator of the fraction, to the product add the numerator, and write the result over the denominator.
Σελίδα 43 - DRY MEASURE 2 pints (pt.) = 1 quart (qt.) 8 quarts =1 peck (pk.) 4 pecks = 1 bushel (bu...
Σελίδα 76 - Therefore, multiplying both terms of a fraction by the same number does not alter its value.
Σελίδα 206 - The square root of a number is one of its two equal factors.
Σελίδα 219 - The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides.
Σελίδα 137 - RULE. Divide the given interest by the interest of the principal, for the given time, at 1 per cent., and the quotient will be the rate.
Σελίδα 49 - The least common multiple of two or more numbers is the least number that is exactly divisible by each of them.
Σελίδα 33 - To divide by 10, 100, &c., we simply cut off as many figures from the right of the dividend as there are ciphers in the divisor.
Σελίδα 71 - To reduce an improper fraction to a whole or mixed number, — RULE : Divide the numerator by the denominator ; the quotient will be the whole or mixed number.