Elements of Arithmetic, Theoretical and Practical: Adapted to the Use of Schools, and to Private Study |
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acres added addition amount antecedents application arithmetical proportion arithmetical series borrowing calculation called capital carats carried cent ciples common difference compound interest contained continued cube cubic decimal fractions decimal mark decimal system deno denominate fractions determined divide dividend division divisor evidently exactly executed expressed factors feet long following example following numbers four rules frac Francs geometric proportion geometric series given numbers gives improper fraction indicated inverse kind manner mean terms merator metic miles mination multiplicand multiplied nator number of terms numerator and denominator obtain operation ounces payments pieces places of figures pound preceding principles proper proper fraction quotient ratio reduce remainder result rule of three rules of arithmetic scholar share shown side sign of equality simple sion smaller square root subdivision subtraction successive third tion unit unknown quantity vulgar fractions whole numbers write yards
Popular passages
Page 40 - If the numerator and denominator of each fraction is multiplied (or divided) by the same number, the value of the fraction will not change. This is because a fraction b/b, b being any number, is equal to the multiplicative identity, 1 . Therefore, Hx8.= 88 _5_x!
Page 158 - In any series of numbers in arithmetical progression, the sum of the two extremes is equal to the sum of any two terms equally distant from them; as in the latter of the above series 6 + 1=4+3, and =5+2.
Page 196 - If 248 men, in 5 days, of 11 hours each, can dig a trench 230 yards long, 3 wide...
Page 195 - What fraction is that, to the numerator of which if 1 be added, the value will be •£ ; but if 1 be adde.d to the denominator, its value will be | ? Let — denote the fraction.
Page 158 - When four numbers are in arithmetical progression t/te • sum of the extremes is equal to the sum of the means.
Page 110 - PROPORTION THE PRODUCT OF THE TWO EXTREME TERMS IS EQUAL TO THE PRODUCT OF THE TWO MEAN TERMS.
Page 165 - If four magnitudes are in proportion, the product of the two extremes is equal to the product of the two means.
Page 129 - Petersburg owes 1000 ducats in Berlin, which he wishes to pay in rubles by the way of Holland; and he has for the data of his operation, the following information, viz. That 1 ruble gives 47^ stivers; that 20 stivers make 1 florin...
Page 51 - The reason for this rule is the same, in reality, as that for the preceding one. 37. |i'or, multiplying the numerator of the dividend by the denominator of the divisor multiplies the dividend by that number.
Page 196 - OScts. lm.+ 10. 1f 248 men in 5 days of 1 1 hours each, dig a trench 230 yards long, 3 yards wide and 2 deep ; in how many days of 9 hours long, will 24 men dig a trench 420 yards long, 5 wide and 3 deep ? Aus 288^*^ days.