Higher Arithmetic: Designed for the Use of High Schools, Academies, and CollegesBennett, Backus & Hawley, 1841 - 252 σελίδες |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 26.
Σελίδα 43
... feet , 40 rods , and 8 furlongs ; .. our compound fraction is of of ‚ of 1 , which multiplied by the given fraction produces of of of of canceling the 3 and 2 of the numerators against a part of the 12 of the denominator we get ...
... feet , 40 rods , and 8 furlongs ; .. our compound fraction is of of ‚ of 1 , which multiplied by the given fraction produces of of of of canceling the 3 and 2 of the numerators against a part of the 12 of the denominator we get ...
Σελίδα 44
... feet . 7. Reduce of of of a yard to the fraction of a mile . Ans . Jo 8. Reduce of of 24 of a gallon to the fraction of a gill . Ans . 4 . 9. Reduce of of a hogshead of wine to the fraction of a gill . 10. Reduce of 11. Reduce of 12 ...
... feet . 7. Reduce of of of a yard to the fraction of a mile . Ans . Jo 8. Reduce of of 24 of a gallon to the fraction of a gill . Ans . 4 . 9. Reduce of of a hogshead of wine to the fraction of a gill . 10. Reduce of 11. Reduce of 12 ...
Σελίδα 45
... feet 3 inches to inches , which gives 2 feet 3 inches = 27 inches . Now it is obvious that 2 feet 3 inches is the same part of one yard that 27 is of 36 , which is 7 = 1 . Hence , we deduce this RULE . Reduce the given quantities to the ...
... feet 3 inches to inches , which gives 2 feet 3 inches = 27 inches . Now it is obvious that 2 feet 3 inches is the same part of one yard that 27 is of 36 , which is 7 = 1 . Hence , we deduce this RULE . Reduce the given quantities to the ...
Σελίδα 46
... feet . 6. What is the value of of 3 of 2 days of 24 hours each ? Ans . 9 hours 36 minutes .. 7. What is the value of of of of an hour ? Ans . 5 minutes 37 seconds . CHAPTER III . DECIMAL FRACTIONS . 34. A decimal fraction 46 HIGHER ...
... feet . 6. What is the value of of 3 of 2 days of 24 hours each ? Ans . 9 hours 36 minutes .. 7. What is the value of of of of an hour ? Ans . 5 minutes 37 seconds . CHAPTER III . DECIMAL FRACTIONS . 34. A decimal fraction 46 HIGHER ...
Σελίδα 84
... shilling . become 9 11x2 NOTE . This method of canceling should be used when the nature of the question will admit , since it will always simplify very much the operation . 4. If a tree 38 feet 9 inches in height 84 HIGHER ARITHMETIC .
... shilling . become 9 11x2 NOTE . This method of canceling should be used when the nature of the question will admit , since it will always simplify very much the operation . 4. If a tree 38 feet 9 inches in height 84 HIGHER ARITHMETIC .
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
1st column acre Alligation amount of $1 annex annuity approximative values arithmetical progression bushel canceling carats cents per pound ciphers common difference compound interest continued fraction cube root decimal figures denominate values denoting diameter diminished dividend dollars equivalent fraction example we find exponent find the number following RULE frac fraction is equivalent geometrical progression gives greatest common measure half the number Hence improper fraction inches individual things interest of $1 last term least common multiple less lowest terms miles mixed number multiplied number is equivalent number of individual number of terms numerator and denominator obtain old progression OPERATION partial fraction perfect repetend places of decimals present worth prime factors prime numbers quantity quotient rate per cent ratio Reduce remainder rule under Art second figure second term shillings simple fraction SOLUTION square root subtract third term total branches trial divisor vulgar fraction weeks whole number wine
Δημοφιλή αποσπάσματα
Σελίδα 35 - Then multiply all the numerators together for a new numerator, and all the denominators together for a new denominator...
Σελίδα 96 - Add to the first term the product of the common difference into the number of terms less one, and the sum will be the last term.
Σελίδα 164 - To raise a whole number or a decimal to any power, use it as a factor as many times as there are units in the exponent.
Σελίδα 98 - Hence, when the extremes and number of terms are given, to find the common difference, — Divide the difference of the extremes by the number of terms, less 1, and the quotient will be the common difference.
Σελίδα 173 - From the above proposition, it follows that the square of the hypotenuse, diminished by the square of one of the sides, equals the square of the other side. By means of these properties, it follows that two sides of a right-angled triangle being given, the third side can be found. Examples. 1. How long must a ladder be, to reach the top of a house, 40 feet high, when the foot of it is 30 feet from the house ? In this example it is obvious that the ladder forms the hypotenuse of a right-angled triangle,...
Σελίδα 30 - To reduce fractions to a common denominator, we have this RULE. Reduce mixed numbers to. improper fractions — compound fractions to their simplest form. Then multiply each numerator by all the denominators, except its own, for a new numerator, and all the denominators together for a common denominator. It is obvious that this process will give the same denominator to each fraction, viz : the product of all the denominators. It is also obvious that the values of the fractions will not be...
Σελίδα 139 - DISCOUNT is an allowance made for the payment of money before it is due. The present worth of a...
Σελίδα 91 - A wall was to be built 700 yards long in 29 days; after 12 men had been employed on it for 11 days, it was found they had built only 220 yards. How many more men must be put on, to finish it in the given time ? 54.
Σελίδα 91 - In how many days, working 9 hours a day, will 24 men dig a trench 420 yards long, 5 yards wide, and 3 yards deep, if 248 men, working...
Σελίδα 97 - Given the first term, last term, and common difference, to find the number of terms. RULE. — Divide the difference of the extremes by the common difference, and the quotient increased by 1 is the number of terms.