# Introduction to The National Arithmetic: On the Inductive System; Combining the Analytic and Synthetic Methods

R.S. Davis, 1844 - Arithmetic - 184 pages

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### Contents

 Sect 1 Numeration 10 Addition 13 Subtraction 21 Multiplication 22 Division 31 Application of the preceding Rules 35 Tables of Money Weights and Measures 36 United States Money 43
 Multiplication of Decimals 111 Division of Decimals 113 Reduction of Decimals 114 Exercises in Decimals 117 Simple Interest 119 Partial Payments 126 Commission and Brokerage 128 Insurance and Policies 129

 Compound Addition 49 Compound Subtraction 51 Exercises in Compound Addition and Subtraction 53 Reduction 13 Reduction Descending 57 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
 Stocks 38 Banking 130 Discount 131 Compound Interest 133 Equation of Payments 136 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 161 Miscellaneous Questions 167 98 169 114 171 117 179 165 181

### Popular passages

Page 31 - 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 100 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.
Page 126 - 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 79 - To reduce a mixed number to an improper fraction. RULE. — Multiply the whole number by the denominator of...
Page 148 - Multiply each term in the multiplicand, beginning at the lowest, by the feet of the multiplier, and write each result under its respective term, observing to carry a unit for every 12 from each denomination to its next superior.
Page 135 - ... 8 months ; what is the equated time for the payment of the whole ? Ans.
Page 41 - 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 89 - To find the value of a fraction in the known parts of the integer, as of coin, weight, measure, fyc.
Page 7 - 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 41 - 1 Sign, ... " s. 12 Signs, or 360 Degrees, the whole great Circle of the Zodiac. 1. How many seconds in 2 minutes ? In 3 minutes ? In 4 minutes ? In 6 minutes ? 2. How many seconds in 3 minutes and 1 second ? 3.