A System of Arithmetic, with the principles of logarithms; compiled for Merchant Taylors' SchoolSmith, Elder & Company, 1844 - 176 σελίδες |
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Σελίδα 79
... extremes for a numerator , and the means for a denominator . Another Example . 41 Reduce to a simple fraction . 73 41 41 Answer , 18 then , = 73 293 4 41 × 4 = 293 × 1 EXERCISES . 21 / 49. Reduce to a simple fraction . Answer , 31 73 50 ...
... extremes for a numerator , and the means for a denominator . Another Example . 41 Reduce to a simple fraction . 73 41 41 Answer , 18 then , = 73 293 4 41 × 4 = 293 × 1 EXERCISES . 21 / 49. Reduce to a simple fraction . Answer , 31 73 50 ...
Σελίδα 128
... extremes will be equal to the sum of the means . Thus in 3 , 6 , 9 , 12-3 + 12 ( extremes ) = 6 + 9 ( means ) . In arithmetical progression five things are to be con- sidered , viz . 1. The first term 2. The last term , or extremes . 3 ...
... extremes will be equal to the sum of the means . Thus in 3 , 6 , 9 , 12-3 + 12 ( extremes ) = 6 + 9 ( means ) . In arithmetical progression five things are to be con- sidered , viz . 1. The first term 2. The last term , or extremes . 3 ...
Σελίδα 129
... extremes . 6 half No. of terms . Answer , 1260 Sum of all terms . RULE . Add the extremes to- gether , and multiply the sum by half the number of terms . The product will be the sum of all the terms . EXERCISES . 1. If the least term be ...
... extremes . 6 half No. of terms . Answer , 1260 Sum of all terms . RULE . Add the extremes to- gether , and multiply the sum by half the number of terms . The product will be the sum of all the terms . EXERCISES . 1. If the least term be ...
Σελίδα 130
... extremes are 3 and 30 , and the number of terms 10 : what is the common difference ? 7. The extremes of an arithmetical series are 2 and number of terms 18 : required the common difference . 8. A man had 8 sons ; the youngest was 4 ...
... extremes are 3 and 30 , and the number of terms 10 : what is the common difference ? 7. The extremes of an arithmetical series are 2 and number of terms 18 : required the common difference . 8. A man had 8 sons ; the youngest was 4 ...
Σελίδα 133
... , the product of the extremes will be equal to the square of the Also , if three terms be in geometrical progression , means . Thus , in 3 , 9 , 27-3X27-9 squared . GEOMETRICAL PROPORTION . 133 Geometrical Proportion and Progression.
... , the product of the extremes will be equal to the square of the Also , if three terms be in geometrical progression , means . Thus , in 3 , 9 , 27-3X27-9 squared . GEOMETRICAL PROPORTION . 133 Geometrical Proportion and Progression.
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12 days 13 dwts 19 yards 20 yards 3d term 4th power 9 lb A's share acres Answer arithmetical progression arithmetical series BILL Bought bushels carry Cent Cheese ciphers common denominator common difference common measure COMPOUND cost cube root decimal of equal Ditto Divide dividend divisor dozen equal value Example EXERCISES farthings figures Find the Interest find the value gain gallons geometrical mean geometrical progression given number greatest term guineas hhds hogshead improper fraction inches least common multiple least term less logarithms lowest terms miles millions Multiplicand Multiply natural number number of terms ounce pence penny pennyweight pint pounds quantity quotient Reduce remainder Required the Interest Required the product Required the sum Rule of Three RULE.-Multiply simple fraction sold square root Stock subtract TABLE thousand VULGAR FRACTIONS weight whole numbers yards of Cloth
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Σελίδα 21 - SQUARE MEASURE 144 square inches (sq. in.) = 1 square foot (sq. ft.) 9 square feet = 1 square yard (sq. yd.) 30j square yards = 1 square rod (sq.
Σελίδα 53 - Then multiply the second and third terms together, and divide the product by the first term: the quotient will be the fourth term, or answer.
Σελίδα 86 - Reduce compound fractions to simple ones, and mixt numbers to improper fractions ; then multiply the numerators together for a new numerator, and the denominators for. a new denominator.
Σελίδα 24 - Thirty Days hath September, April, June and November ; February hath Twenty-eight alone, And all the rest have Thirty-one ; Except in Leap Year, — then's the time February's Days are Twenty-nine.
Σελίδα 75 - Rule. — Divide the numerator by the denominator, the quotient will be the whole number...
Σελίδα 63 - If a footman travel 130 miles in 3 days, when the days are 12 hours long ; in how many days, of 10 hours each, may he travel 360 miles ? Ans. 9|f days. 5. If 120 bushels of corn can serve 14 horses 56 days, how many days will 94 bushels serve 6 horses?
Σελίδα 132 - Half the Product of the common Difference, multiplied by the Number of Terms less one, gives*the first Term.
Σελίδα 101 - Sir," said I, after puzzling a long time over "more requiring more and less requiring less" — "will you tell me why I sometimes multiply the second and third terms together and divide by the first — and at other times multiply the first and second and divide by the third?" "Why, because more requires more sometimes, and sometimes it requires less — to be sure. Haven't you read the rule, my boy?" " Yes, sir, I can repeat the rule, but I don't understand it.
Σελίδα 3 - Roman notation employs seven capital letters, viz. : I, for one ; V, for five ; X, for ten ; L, for fifty ; C, for one hundred ; D, for five hundred ; M, for one thousand. The...
Σελίδα 134 - ... number of terms, the product of the extremes is equal to the product of any two...