# Daboll's Schoolmaster's Assistant, Improved and Enlarged

S. Green, 1825 - Arithmetic - 240 pages
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### Contents

 Alligation 189 14 Questi s for exercise 30 Division of Whole Numbers 34 Reduction 63 Discount 135 Fellowship 144
 Fractions Vulgar and Decimal 4 153 Insurance 126 169 Inverse Proportion 178 Compound 51 191 Numeration 15 200 Tablc Numeration and Pence 232

### Popular passages

Page 80 - ... from the right hand of the quotient, point off so many places for decimals, as the decimal places in the dividend exceed those in the divisor.
Page 173 - RULE. 1 . Separate the given number into periods of three figures each, by putting a point over the unit figure and every third figure bejond the place of units. 2. Find the greatest cube in the left hand period, and put its root in the quotient. 3.
Page 183 - The first term, the last term (or the extremes) and the ratio given, to find the sum of the series. RULE. Multiply the last term by the ratio, and from the product subtract the first term ; then divide the remainder by the ratio, less by l,and the quotient will be the sum of all the terms.
Page 188 - If the errors are alike, divide the difference of the products by the difference of the errors, and the quotient will be the answer. .5. If the errors are unlike, divide the sum of the products by the sum of the errors, and the quotient will bo the answer.
Page 210 - Ixos being given, to find how many bushels it will contain. RULE. Multiply the length by the breadth, and that product by the depth, divide the last product by 2150,425 the solid inches in a statute bushel, and the quotient will be the answer. EXAMPLE. There is a square...
Page 190 - To find the number of Permutations or changes, that can be made of any given number of things, all different from each other RULE.
Page 121 - Cast the interest on the several payments, from the time they were paid, to the time of settlement, and find their amount ; and lastly deduct the amount of the several payments, from the amount of the principal.
Page 147 - CASE II. , To reduce a mixed number to its equivalent improper fraction. RULE. Multiply the whole number...
Page 165 - 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 the sum subtract the payment made at that time, together with the preceding payments (if any) and the remainder forms a new principal ; on which, compute and subtract the interest, as upon the first principal: and proceed...
Page 176 - Alligation alternate is the method of finding what quantity of any number of simples, whose rates are given, will compose a mixture of a given rate ; so that it is the reverse of Alligation medial, and may be proved by it. RULE 1.* 1. Write the rates of the simples in a column under each other.