# Practical Arithmetic: Uniting the Inductive with the Synthetic Mode of Instruction : for Schools and Academies

Ivison, Phinney & Company, 1864 - Arithmetic - 384 pages
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### Contents

 Definitions 71 Lorg Division 77 Exercises in the Fundamental Rules 85 Analysis of Composite Numbers 92 SECTION VI 100 Reduction of Fractions 108 Least Comnon Denominator 114 Cancellation applied to Multiplication of Fractions 123 Cancellation applied to Division of Fractions 129 COMPOUND NUMBERS 136 The standard unit of Liquid Measure of the United States 143 REDUCTION 150 Reduction of Fractional Compound Numbers 157 Addition of Fractional Compound Numbers 165
 Computing Interest by Days 220 Connecticut Rule 226 Compound Interest 233 Practice or Aliquot Parts 235 Insurance 210 240 DUTIES 251 PROPERTIES OF NUMBERS 260 SECTION XI 266 RATIO 285 Demonstration of Cube Root by Cubical Blocks 326 Partnership or Fellowship 334 Exchange 342 Geometrical Progression 349 Miscellaneous Examples 357

### Popular passages

Page 314 - 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 304 - X 5'" = 20""'. Hence the RDLE. 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 322 - ... and to the remainder bring down the next period for a dividend. 3. Place the double of the root already found, on the left hand of the dividend for a divisor. 4. Seek how often the divisor is contained...
Page 317 - 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 104 - The number below the line is called the denominator, and shows into how many parts the number or thing is divided. The number above the- line is called the numerator, and shows how many parts are expressed by the fraction.
Page 71 - The number to be divided is called the dividend. The number by which we divide is called the divisor.
Page 148 - Sheets make 1 Quire. 20 Quires " 1 Ream. 2 Reams " 1 Bundle. 5 Bundles
Page 260 - ... any number divided by 9, will leave the same remainder, as the sum of its figures, or digits, divided by 9 : which may be thus demonstrated.
Page 323 - To find the side of a cube whose solidity shall be double, triple, &c., that of a cube whose side is given. Cube the given side, multiply it by the given proportion, and the cube root of the product will be the side of the cube required.
Page 292 - ... for the second term, and the other for the first. IK. Finally, multiplying the second and third terms together, divide the product by the first, and the quotient will be the answer in the same denomination as the third term.