The course of arithmetic as taught in the Pestalozzian school, Worksop. [With] Answers1854 |
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Page 3
... Hence we have the following table : - The first order of units are briefly called units . tens of units . hundreds of units . units of thousands . tens of thousands . hundreds of thousands . units of millions . Second Third 29 99 Fourth ...
... Hence we have the following table : - The first order of units are briefly called units . tens of units . hundreds of units . units of thousands . tens of thousands . hundreds of thousands . units of millions . Second Third 29 99 Fourth ...
Page 32
... hence , 3 - thirds are equal to one whole . Apply similar reasoning to the other divisions of unity . 91. When two or more equal parts are taken together , we have quantities , as the following : -2 - thirds , 3 - fourths , 5 - eighths ...
... hence , 3 - thirds are equal to one whole . Apply similar reasoning to the other divisions of unity . 91. When two or more equal parts are taken together , we have quantities , as the following : -2 - thirds , 3 - fourths , 5 - eighths ...
Page 38
... Hence , every number which measures both the dividend and the divisor , measures , likewise , the remainder . Ex . 13 measures both 234 and 65. Divide 234 by 65 : the quotient is 3 , and the remainder 39 , which 13 measures . 113. These ...
... Hence , every number which measures both the dividend and the divisor , measures , likewise , the remainder . Ex . 13 measures both 234 and 65. Divide 234 by 65 : the quotient is 3 , and the remainder 39 , which 13 measures . 113. These ...
Page 40
... 154 3+ 353 1 353 3 1213 Now , if we divide the fraction of the denominator by 154 , we 154 1 353 1 45 find ; let us omit it 353 45 ' 1213 1 154 ' 2+ 3+ 154 45 2+ 154 1 154 1 follows that 353 1 .. but hence 40 COURSE OF ARITHMETIC .
... 154 3+ 353 1 353 3 1213 Now , if we divide the fraction of the denominator by 154 , we 154 1 353 1 45 find ; let us omit it 353 45 ' 1213 1 154 ' 2+ 3+ 154 45 2+ 154 1 154 1 follows that 353 1 .. but hence 40 COURSE OF ARITHMETIC .
Page 41
... hence > 19 7 ] 24 1213 3+ 3+ 45 3 1 2+ 19 3 + 45 It follows that the value of the given fraction is between and 2 . To continue the approximation , let us divide both terms of 7 19 19 by 19 , the result is 45 7 ' neglecting the fraction ...
... hence > 19 7 ] 24 1213 3+ 3+ 45 3 1 2+ 19 3 + 45 It follows that the value of the given fraction is between and 2 . To continue the approximation , let us divide both terms of 7 19 19 by 19 , the result is 45 7 ' neglecting the fraction ...
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Common terms and phrases
1st method 2nd method acres amount annum avoirdupois bought bushel called cent ciphers circumference common difference common fraction compound quantity contained cost cube root cubic inches decimal places denominator diameter discount divide a fraction dividend division divisor dwts equal example exchange EXERCISES Express factors farthings feet Find the number Find the sum Find the value florins francs gain gallon given greatest common measure guinea Hence hundreds improper fraction integer interest logarithms miles minutes mixed quantity months multiplicand number of terms operation paid pence performed person piastres piece pounds present worth principal quotient receive recurring decimal Reduce remainder result Rix-dollars rubles selling share shillings sold square root sterling subtracted tare tens thousandths Troy weight units vulgar fractions weight whole number Worksop yards of cloth
Popular passages
Page 238 - ... one grain of wheat for the first square, two for the second, four for the third, and so on, doubling...
Page 40 - To reduce a mixed number to an improper fraction, Multiply the whole number by the denominator of the fraction, and to the product add the numerator; under this sum write the denominator.
Page 238 - Sessa requested that he might be allowed one grain of wheat for the first square on the chess board, 2 for the second, 4 for the third, and so on, doubling continually, to 64, the whole number of squares. Now, supposing, a pint to contain 7680 of these grains, and one quarter or 8 bushels to be worth yja 6d, it is required to compute the value of all the corn ? Ans.
Page 128 - XV — 24, as shown in the operation. 2. 5 compositors, in 16 days, of 14 hours each, can compose 20 sheets of 24 pages in each sheet, 50 lines in a page, and 40 letters in a line; in...
Page 286 - The real resistance to a plane, from a fluid acting in a direction perpendicular to its face, is equal to the weight of a column of the fluid, whose base is the plane...
Page 53 - Multiply the numerator of the dividend by the denominator of the divisor...
Page 48 - To Multiply a Fraction by a Whole Number. Multiply the numerator by the whole number and divide the product by the denominator.
Page 43 - Divide the given number by any prime factor ; divide the quotient in the same manner, and so continue the division until the quotient is a prime number. The several divisors and the last quotient will be the prime factors required.