# Introduction to The National Arithmetic, on the Inductive System: Combining the Analytic and Synthetic Methods with the Cancelling System; in which the Principles of Arithmetic are Explained and Illustrated in a Familiar Manner. Designed for Common Schools

R. S. Davis, and Gould, Kendall, & Lincoln, 1844 - Arithmetic - 184 pages
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### Contents

 Reduction Ascending 60 Miscellaneous 61 Compound Multiplication 65 Compound Division 69 Bills 73 Fractions 84 Vulgar Fractions 89 Addition of Vulgar Fractions 92 Subtraction of Vulgar Fractions 94 Multiplication of Vulgar Fractions 98 Division of Vulgar Fractions 102 Exercises in Vulgar Fractions 106 Decimal Fractions 108 Addition of Decimals 109 Subtraction of Decimals 110 Multiplication of Decimals 111 Division of Decimals 113 Reduction of Decimals 114
 Equation of Payments 135 Proportion 139 Compound Proportion 143 Company Business 145 Double Fellowship 147 Duodecimals 149 Involution 150 Evolution or the Extraction of Roots 151 Extraction of the Cube Root 156 Geometrical Problems 160 Miscellaneous Questions 167 42 168 56 169 67 170 114 171 117 179 132 180 165 181

### Popular passages

Page 139 - ... 8 months ; what is the equated time for the payment of the whole ? Ans.
Page 104 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.
Page 35 - 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.
Page 130 - COMPUTE the interest on the principal sum from the time when the interest commenced to the first time when a payment was made, which exceeds either alone or in conjunction with the preceding payments (if any) the interest at that time due : add that interest to the principal, and from...
Page 45 - Thirty days hath September, April, June, and November ; All the rest have thirty-one, Except the second month alone, Which has but twenty-eight, in fine, Till leap year gives it twenty-nine.
Page 93 - To find the value of a fraction in the known parts of the integer. RULE. Multiply the numerator by the...
Page 160 - CUBE is any number multiplied by its square. To extract the cube root, is to find a number which, being multiplied into its square, shall produce the given number. RULE.
Page 152 - ... 2. Multiply each term in the multiplicand, beginning at the lowest, by the feet in the multiplier, and write...
Page 11 - Los números cardinales 0: zero 1: one 2: two 3: three 4: four 5: five 6: six 7: seven 8: eight 9: nine 10: ten 11: eleven 12: twelve 13: thirteen 14: fourteen 15: fifteen 16: sixteen 17: seventeen 18: eighteen 19: nineteen 20: twenty...
Page 108 - 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 numerator; under this sum write the denominator.