A Treatise on Arithmetic, Combining Analysis and Synthesis: Adapted to the Best Mode of Instruction in Common Schools and Academies |
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... examples requiring a familiar acquaint- ance with fractions have been deferred until fractions have been discussed ; and in Fractions , the several operations have been arranged with strict regard to the dependence of principles ...
... examples requiring a familiar acquaint- ance with fractions have been deferred until fractions have been discussed ; and in Fractions , the several operations have been arranged with strict regard to the dependence of principles ...
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... example . It has been designed to give answers enough to inspire confi- dence in the learner , and yet to omit enough to secure the discipline resulting from proving the operations . At the close of the work , an extended Supplement has ...
... example . It has been designed to give answers enough to inspire confi- dence in the learner , and yet to omit enough to secure the discipline resulting from proving the operations . At the close of the work , an extended Supplement has ...
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... Examples , 91 § 11. Decimal Fractions , 98 Case 1. Addition of Decimal Fractions , 101 2. Subtraction of Decimal Fractions , 102 3. Multiplication of Decimal Fractions , 102 • 4. Division of Decimal Fractions , 104 5. To Reduce a Vulgar ...
... Examples , 91 § 11. Decimal Fractions , 98 Case 1. Addition of Decimal Fractions , 101 2. Subtraction of Decimal Fractions , 102 3. Multiplication of Decimal Fractions , 102 • 4. Division of Decimal Fractions , 104 5. To Reduce a Vulgar ...
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... Examples , 260 260 261 263 266 SUPPLEMENT . § 46. Miscellany , Contractions in Multiplication , 274 275 Contractions in Division , . 279 Identity of Division , Fractions and Ratios , 281 Barter , 283 • Practice , 284 • Series , 47 ...
... Examples , 260 260 261 263 266 SUPPLEMENT . § 46. Miscellany , Contractions in Multiplication , 274 275 Contractions in Division , . 279 Identity of Division , Fractions and Ratios , 281 Barter , 283 • Practice , 284 • Series , 47 ...
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... example , instead of saying 2 and 6 are 8 , and 7 are 15 , and 4 are 19 , it is SHORTER and THERE- FORE BETTER to say 2 , 8 , 15 , 19 ; setting down the 9 , say , 1 , 6 , 10 , 19 , 27 , etc. etc. - NOTE 3. - Much of the labor of the ...
... example , instead of saying 2 and 6 are 8 , and 7 are 15 , and 4 are 19 , it is SHORTER and THERE- FORE BETTER to say 2 , 8 , 15 , 19 ; setting down the 9 , say , 1 , 6 , 10 , 19 , 27 , etc. etc. - NOTE 3. - Much of the labor of the ...
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Common terms and phrases
2d Principal acres altitude amount angle annex annuity arithmetical arithmetical series base Bought breadth bushels cent ciphers circle circumference common difference compound interest cost cube root cubic debt decimal fraction decimal places diameter Divide dividend divisible dollars dominical letter equal equated example feet long figure frustum gain gallons given number greatest common measure Hence hundred inches insured interest of $1 least common multiple length lower denomination marked price miles minuend months multiplicand Multiply NOTE number of terms OPERATION oxen payable payment plane polygon pound present worth PROB proportion quotient radius ratio Reduce remainder repetend rods RULE RULE.-Divide RULE.-Multiply separatrix Sept side simple slant height sold solid sphere square root subtract subtrahend surface thick thousandths trial divisor triangle Troy weight units vulgar fraction weight whole number wide yards
Popular passages
Page 26 - The number to be divided is called the dividend. The number by which we divide is called the divisor.
Page 76 - To reduce a mixed number to an improper fraction, — RULE : Multiply the whole number by the denominator of the fraction, to the product add the numerator, and write the result over the denominator.
Page 43 - DRY MEASURE 2 pints (pt.) = 1 quart (qt.) 8 quarts =1 peck (pk.) 4 pecks = 1 bushel (bu...
Page 80 - Therefore, multiplying both terms of a fraction by the same number does not alter its value.
Page 210 - The square root of a number is one of its two equal factors.
Page 223 - 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 141 - RULE. Divide the given interest by the interest of the principal, for the given time, at 1 per cent., and the quotient will be the rate.
Page 51 - The least common multiple of two or more numbers is the least number that is exactly divisible by each of them.
Page 33 - To divide by 10, 100, &c., we simply cut off as many figures from the right of the dividend as there are ciphers in the divisor.
Page 75 - To reduce an improper fraction to a whole or mixed number, — RULE : Divide the numerator by the denominator ; the quotient will be the whole or mixed number.