Introduction to The national arithmetic: on the inductive system combining the analytic and synthetic methods in which the principles of the science are fully explained and illustrated : designed for common schools and academies

Robert S. Davis, 1858 - Arithmetic - 324 pages

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Contents

 SUBTRACTION OF COMPOUND NUMBERS 114 MULTIPLICATION OF COMPOUND NUM 121 MISCELLANEOUS EXAMPLES IN MULTI 129 FRACTIONS COMMON FRACTIONS 140 Subtraction of Fractions of Compound 175 DECIMAL FRACTIONS 181 PERCENTAGE 194
 INVOLUTION 269 ARITHMETICAL PROGRESSION 287 GEOMETRICAL PROGRESSION 294 ALLIGATION 300 MENSURATION OF SURFACES 306 MENSURATION OF SOLIDS 313 MISCELLANEOUS QUESTIONS 19 319

Popular passages

Page 145 - RULE. Multiply all the numerators together for a new numerator, and all the denominators for a new denominator: then reduce the new fraction to its lowest terms.
Page 155 - Multiplication is the process of taking one number as many times as there are units in another.
Page 189 - When a decimal number is to be divided by 10, 100, 1000, &c., remove the decimal point as many places to the left as there are ciphers in the divisor, and if there be not figures enough in the number, prefix ciphers.
Page 285 - A sphere is a solid, bounded by one continued convex surface, every point of which is equally distant from a point within, called the centre.
Page 209 - Compute the interest to the time of the first payment ; if that be one year or more from the time the interest commenced, add it to the principal, and deduct the payment from the sum total. If there be...
Page 185 - Place the subtrahend under the minuend, so that the decimal points will be directly under each other. Subtract as in whole numbers, and place the decimal point in the remainder directly under the decimal points above.
Page 136 - The greatest common divisor of two or more numbers is the greatest number that will divide each of them without a remainder. Thus 6 is the greatest common divisor of 12, 18, and 24.
Page 138 - The least common multiple of two or more numbers is the least number that can be divided by each of them without a remainder ; thus 30 is the least common multiple of 10 and 15.
Page 209 - But if any payments be made before one year's interest hath accrued, then compute the interest on the principal sum due on the obligation for one year,* add it to the principal, and compute the interest on the sum paid from the time it was paid up to the end of the year ; add it to the sum paid, and deduct that sum from the principal and interest added together.
Page 158 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.