A Treatise on Arithmetic, Combining Analysis and Synthesis: Adapted to the Best Mode of Instruction in Common Schools and Academies |
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Page 8
... HENCE shall PROBABLY detect any mistake which may have been made in adding UPWARD . NOTE 1. The operation called proof , in this and the following Articles , only serves to strengthen the probability that the work is right ...
... HENCE shall PROBABLY detect any mistake which may have been made in adding UPWARD . NOTE 1. The operation called proof , in this and the following Articles , only serves to strengthen the probability that the work is right ...
Page 15
... is equal to the sum of all its parts ; thus , the minuend is divided into the two parts · subtrahend and remainder ; hence the sum of those parts must be the minuend . Ex . 4 . Minuend , 68745 Subtrahend , 2 SUBTRACTION . 15.
... is equal to the sum of all its parts ; thus , the minuend is divided into the two parts · subtrahend and remainder ; hence the sum of those parts must be the minuend . Ex . 4 . Minuend , 68745 Subtrahend , 2 SUBTRACTION . 15.
Page 29
... Hence the - PROOF . Multiply the divisor by the quotient and to the product add the remainder ; the SUM should be the dividend . Ex . 11. Divide 3413 by 63 . OPERATION . 63 ) 3413 ( 54 315 PROOF . 6 3 Divisor . 5 4 Quotient . 263 252 ...
... Hence the - PROOF . Multiply the divisor by the quotient and to the product add the remainder ; the SUM should be the dividend . Ex . 11. Divide 3413 by 63 . OPERATION . 63 ) 3413 ( 54 315 PROOF . 6 3 Divisor . 5 4 Quotient . 263 252 ...
Page 31
... divisor , is the other part ; i . e . 5 +3 × 6 - 23 true remainder . The same species of reasoning applies when there are more than two divisors . Hence , To obtain the true remainder when division is performed by DIVISION . 31.
... divisor , is the other part ; i . e . 5 +3 × 6 - 23 true remainder . The same species of reasoning applies when there are more than two divisors . Hence , To obtain the true remainder when division is performed by DIVISION . 31.
Page 45
... Hence , To reduce the higher denominations of a compound number to a lower denomination , RULE . - Multiply the highest denomination given , by the num ber it takes of the next lower denomination to make one of this higher , and to the ...
... Hence , To reduce the higher denominations of a compound number to a lower denomination , RULE . - Multiply the highest denomination given , by the num ber it takes of the next lower denomination to make one of this higher , and to 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.