# Practical Arithmetic, Uniting the Inductive with the Synthetic Mode of Instruction: Also Illustrating the Principles of Cancelation. For Schools and Academies

Durrie & Peck, 1846 - Arithmetic - 336 pages
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### Contents

 Exercises for the Slate 74 Long Division 81 CANCELATIon illustrated 89 SECTION VI 96 Reduction of Fractions 104 Least common Denominator 110 Multiplication of Fractions 116 Division of Fractions 124 Cancelation applied to Multiplication of Complex Fractions 130 The standard unit of Length of the United States 137 REDUCTION 145 To find the solidity of boxes wood c 151 Compound Addition 157
 General method for computing Interest 217 Partial payments Rule adopted by the United States 227 DISCOUNT 235 Profit and Loss 243 DUTIES 252 SECTION XI 269 Ditto 278 Ditto 284 PROPORTION 290 SECTION XIII 302 Evolution 309 SECTION XV 324

### Popular passages

Page 318 - The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides.
Page 214 - What part of a year is 1 month ? 2 months ? 3 months ? 4 months ? 5 months ? 6 months ? 7 months? 8 months? 9 months? 10 months? 11 months ? 105.
Page 315 - Multiply the divisor, thus increased, by the last figure of the root; subtract the product from the dividend, and to the remainder bring down the next period for a new dividend.
Page 225 - If there be after payments made, compute the interest on the balance due to the next payment, and then deduct the payment as above ; and, in like manner, from one payment to another, till all the payments are absorbed ; provided the time between one payment and another be one year or more.
Page 225 - But if any payment 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 as above.
Page 73 - The number to be divided is called the dividend. The number by which we divide is called the divisor.
Page 178 - RULE. Divide as in whole numbers, and from the right hand of the quotient point off as many places for decimals as the decimal places in the dividend exceed those in the divisor.
Page 135 - Weight is used in weighing groceries ana all coarse articles ; as, sugar, tea, coffee, butter, cheese, flour, hay; &c., and all metals except gold and silver. 16 drams (dr.) make 1 ounce, marked oz. 16 ounces " 1 pound, " Ib. 25 pounds " 1 quarter, " qr. 4 quarters, or 100 Ibs. " 1 hundred weight, " cwt. 20 hundred weight " 1 ton,
Page 223 - The rule for casting interest, when partial payments have been made, is to apply the payment, in the first place, to the discharge of the interest then due. " If the payment exceeds the interest, the surplus goes towards discharging the principal, and the subsequent interest is to be computed on the balance of principal remaining due.
Page 106 - To reduce a mixed number to an improper fraction. Multiply the whole number by the denominator of the fraction : to the product add the given numerator. The sum placed over the given denominator, will form the improper fraction required.