Practical Arithmetic, Uniting the Inductive with the Synthetic Mode of Instruction: Also Illustrating the Principles of Cancelation. For Schools and Academies |
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Page iii
... examples which involve the principles of the rule . 2. The operation is then defined , each principle is an- alyzed separately , and illustrated by other examples . 3. The general rule is now deduced , and put in its proper place , both ...
... examples which involve the principles of the rule . 2. The operation is then defined , each principle is an- alyzed separately , and illustrated by other examples . 3. The general rule is now deduced , and put in its proper place , both ...
Page iv
... examples , places him in the condition of the boy , whose mother charged him never to go into the water till he had learned to swim . 2 These embarrassments are believed to be unnecessary , and are attempted to be removed in the ...
... examples , places him in the condition of the boy , whose mother charged him never to go into the water till he had learned to swim . 2 These embarrassments are believed to be unnecessary , and are attempted to be removed in the ...
Page vii
... examples to solve , so that the whole class may advance together . 5. The number in a class , if practicable , should not be less than six , nor over twelve or fifteen . If the number ... example should be analyzed the " why and SUGGESTIONS.
... examples to solve , so that the whole class may advance together . 5. The number in a class , if practicable , should not be less than six , nor over twelve or fifteen . If the number ... example should be analyzed the " why and SUGGESTIONS.
Page viii
... example should be analyzed the " why and wherefore " of every step in the solution should be required , till each member of the class becomes perfectly familiar with the process of reasoning and analysis . 4. To ascertain whether each ...
... example should be analyzed the " why and wherefore " of every step in the solution should be required , till each member of the class becomes perfectly familiar with the process of reasoning and analysis . 4. To ascertain whether each ...
Page ix
... Examples for practice , 30 30 31 SECTION III . SUBTRACTION , Mental Exercises , 36 Subtraction Table , 37 Exercises for the Slate ,. 40 Illustration of the principle of borrowing , 42 Proof of Subtraction , 45 General Rule , 45 Examples ...
... Examples for practice , 30 30 31 SECTION III . SUBTRACTION , Mental Exercises , 36 Subtraction Table , 37 Exercises for the Slate ,. 40 Illustration of the principle of borrowing , 42 Proof of Subtraction , 45 General Rule , 45 Examples ...
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Common terms and phrases
12 cents 15 dollars added amount annexed answer barrels of flour bushels called ciphers column common denominator common fraction composite number compound interest COMPOUND NUMBERS contained cube root cubic decimal fractions denotes difference dividend division dollars apiece dolls equal example expressed factors farthings Federal Money feet fourth gain gallons given fractions given number greatest common divisor Hence hogsheads horse hundred hundredths improper fraction inches interest of $1 lars least common multiple merchant bought miles mills mixed number months multiplicand Multiply Operation oranges ounces paid payable pence present worth principal proceed quantity quarts quotient rate per cent ratio receive Reduce remainder right hand rods shillings simple fraction slate sold Solution square root subtract tens tenths third thousandths Troy Weight units weight whole number Write yards of cloth
Popular passages
Page 316 - 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 212 - 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 313 - 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 223 - 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 223 - 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 71 - The number to be divided is called the dividend. The number by which we divide is called the divisor.
Page 176 - 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 133 - 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 221 - 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 104 - 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.