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

M. H. Newman & Company, 1850 - Arithmetic - 350 pages
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### Contents

 SECTION 13 Ditto 14 Numeration 19 SECTION 23 Exercises for the Slate 28 Proof of Subtraction 34 SECTION III 40 Ex 5160 51
 23 168 DECIMAL FRACTIONS 171 34 177 Subtraction of Decimals 178 Reduction of Decimals 184 Reduction of Federal Money 191 41 195 Division of Federal Money 199

 SECTION IV 54 Exercises for the Slate 60 Illustration of carrying in Multiplication 66 DIVISION Mental Exercises 73 0 78 Short Division 82 Ex 8388 83 General principles in Division 90 Least Common Multiple 97 Reduction of Fractions 108 Least Common Denominator 114 Multiplication of Fractions 120 Cancelation applied to Multiplication of Fractions 128 Cancelation applied to Division of Fractions 136 The standard unit of Length of the United States 144 To find the area of surfaces 157
 Problems in Interest 210 44 216 Second method 221 49 230 Ex 8991 286 269 90888 271 62 283 108 289 307 291 325 297 125 301 331 305 154 307 344 314 163 318

### Popular passages

Page 325 - ... and to the remainder bring down the next period for a dividend. 3. Place the double of the root already found, on the left hand of the dividend for a divisor. 4. Seek how often the divisor is contained...
Page v - Union, or such person as he may appoint, for the use of the states respectively, to the end that a uniform standard of weights and measures may be established throughout the United States.
Page 139 - Weight is used in weighing groceries and 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 " 1 hundred weight, cwt. 20 hundred weight
Page 109 - To reduce an improper fraction to a whole, or mixed number. Divide the numerator by the denominator, and the quotient will be the whole, or mixed number required.
Page 137 - Britain. 4 farthings (qr. or far.) make 1 penny, marked d. 12 pence " 1 shilling, " s. 20 shillings " 1 pound, or sovereign, £. 21 shillings ,
Page 147 - The number of days in each month may be easily remembered from the following lines: " Thirty days hath September, April. June, and November; February twenty-eight alone, All the rest have thirty-one ; Except in Leap year, then is the time, When February has twenty-nine.
Page 267 - ... 15. Any number expressed by the decimal notation, divided by 9, will leave the same remainder as the sum of its figures or digits divided by 9.
Page 98 - A common multiple of two or more numbers is a number...
Page 259 - ... oath shall be administered by a Consul or Commercial Agent of the United States ; or by some public officer duly...
Page 308 - X 5'" = 20"'". Hence the RULE. I. Write the several terms of the multiplier under the corresponding terms of the multiplicand. II. Multiply...