An Elementary Arithmetic Designed for Academies and Schools: Also Serving as an Introduction to the Higher ArithmeticD. Appleton & Company, 1851 - 347 σελίδες |
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Σελίδα viii
... Arithmetical Progression . Geometrical Progression Summation of a Descending Geometrical Progression , continued to infir.ity Alligation defined . Alligation Media ! Alligation Alternate Mensuration Promiscuous Questions . PAGE 133 134 ...
... Arithmetical Progression . Geometrical Progression Summation of a Descending Geometrical Progression , continued to infir.ity Alligation defined . Alligation Media ! Alligation Alternate Mensuration Promiscuous Questions . PAGE 133 134 ...
Σελίδα 302
... arithmetical . From the foregoing demonstration we may deduce the following RULE . I. Separate the number whose root is to be found , into periods of three figures each , counting from the units ' place towards the left . When the ...
... arithmetical . From the foregoing demonstration we may deduce the following RULE . I. Separate the number whose root is to be found , into periods of three figures each , counting from the units ' place towards the left . When the ...
Σελίδα 308
... arithmetical progression ascending . When the terms are constantly decreasing , the series is an arithmetical progression descending . Thus , 1 , 3 , 5 , 7 , 9 , & c . , is an ascending arithmetical progression ; and 10 , 8 , 6 , 4 , 2 ...
... arithmetical progression ascending . When the terms are constantly decreasing , the series is an arithmetical progression descending . Thus , 1 , 3 , 5 , 7 , 9 , & c . , is an ascending arithmetical progression ; and 10 , 8 , 6 , 4 , 2 ...
Σελίδα 309
... arithmetical progression . How many of these must be given in order to be able to find the others ? CASE I. By our definition of an ascending arithmetical progres- sion , it follows that the second term is equal to the first , increased ...
... arithmetical progression . How many of these must be given in order to be able to find the others ? CASE I. By our definition of an ascending arithmetical progres- sion , it follows that the second term is equal to the first , increased ...
Σελίδα 310
... arithmetical progres- sion , whose first term is 2 , and common difference 3 ? In this example , the number of terms , less one , is 99 , which , multiplied by the common difference , 3 , gives 297 , which , added to the first term , 2 ...
... arithmetical progres- sion , whose first term is 2 , and common difference 3 ? In this example , the number of terms , less one , is 99 , which , multiplied by the common difference , 3 , gives 297 , which , added to the first term , 2 ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
acres amount annex arithmetical progression balance barrels bushels called ciphers coin column compound contained copper cords cost cube root cubic feet cubic inches currency decimal fraction decimal point denominate number denote diameter discount divide dividend division equal equivalent fractions EXAMPLES expressed factors farthings Federal money foot gallon geometrical progression give gold grains greatest common divisor Hence hogsheads hundred improper fraction indorsement last term least common denominator least common multiple length lowest terms MEASURE method miles mills minuend mixed number months multiplicand Multiply number of days number of terms numerator and denominator obtain OPERATION ounces payment pence pounds present worth quantities quotient rate per cent ratio rectangles Reduce remainder Repeat the Rule rods Sextillions shilling tea side silver slabs sought square feet square root subtract subtrahend tens third term thousands tiply trial divisor Troy Weight units vulgar fraction weight whole number yards
Δημοφιλή αποσπάσματα
Σελίδα 111 - When a decimal number is to be divided by 10, 100, 1000, &c., remove the decimal point as many places to the left as there are ciphers in the divisor, and if there be not figures enough in the number, prefix ciphers.
Σελίδα 107 - To multiply a decimal by 10, 100, 1000, &c., remove the decimal point as many places to the right as there are ciphers in the multiplier ; and if there be not places enough in the number, annex ciphers.
Σελίδα 237 - 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.
Σελίδα 78 - Then multiply all the numerators together for a new numerator, and all the denominators together for a new denominator...
Σελίδα 151 - Place the remainder under the column added, and carry the quotient to the next column.
Σελίδα 29 - EXAMPLES. 1. In which no figure of the subtrahend is larger than the corresponding figure in the minuend. From 796 subtract 375.
Σελίδα 330 - To find the area of a trapezoid. RULE. Multiply half the sum of the two parallel sides by the perpendicular distance between them : the product will be the area.
Σελίδα 112 - TABLE. 10 Mills (m.) = 1 Cent . . ct. 10 Cents = 1 Dime . . d. 10 Dimes = 1 Dollar . $. 10 Dollars = 1 Eagle . E.
Σελίδα 108 - ... it follows, that in division the decimal places of the dividend must be equal to the number of places in the divisor and quotient taken together. Hence, the number of decimal places in the quotient must equal the excess of those in the dividend above those in the divisor.
Σελίδα 107 - In multiplication of decimals, we know that the number of decimal places in the product is equal to the sum of those in both the factors.