# 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

Robert S. Davis, and Gould, Kendall, & Lincoln, 1847 - 196 уелЯдет

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### Ресйечьменб

 50 13 63 14 71 15 Numeration 2 Addition 16 Subtraction 21 Multiplication 25 Division 31 Application of the preceding Rules 35
 Subtraction of Decimals 110 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

 Tables of Money Weights and Measures 36 United States Money 43 Compound Addition 49 Compound Subtraction 51 Exercises in Compound Addition and Subtraction 53 Reduction 13 Reduction Descending 57 Reduction Ascending 60 Miscellaneous 62 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
 Insurance and Policies 129 Stocks 38 Banking 130 Discount 131 Compound Interest 133 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 161 Miscellaneous Questions 167 APPENDIX Cancelling Method 173 SUPPLEMENT 185 137 190 151 191 173 194

### ДзмпцйлЮ брпурЬумбфб

УелЯдб 153 - ... hand of the, given number, (after the manner of a quotient in division,) for the first figure of the root, and the square...
УелЯдб 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.
УелЯдб 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...
УелЯдб 135 - ... in 12 months ; what is the equated time for the payment of the whole sum ? Ans.
УелЯдб 33 - Multiply the whole number by the numerator of the fraction, and divide the product by the denominator ; or divide the whole number by the denominator of the fraction, and multiply the quotient by the numerator.
УелЯдб 156 - 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.
УелЯдб 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...
УелЯдб 76 - Numerator shows how many of those parts are taken. 1. A proper fraction is one whose numerator is less than the denominator , as f . 2.
УелЯдб 104 - 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.
УелЯдб 41 - CIRCULAR MOTION. 60 Seconds .... make 1 Minute, . . . marked '. 60 Minutes. ..." 1 Degree, ..." °. 30 Degrees . . . . " 1 Sign, ..." s. 12 Signs, or 360 Degrees, the whole great Circle of the Zodiac.