Higher Arithmetic: Designed for the Use of High Schools, Academies, and CollegesBennett, Backus & Hawley, 1841 - 252 σελίδες |
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Αποτελέσματα 1 - 5 από τα 13.
Σελίδα 10
... factors which compose a cube number is called the cube root of the number . Thus , 3 is the cube root of 27 . 10. All numbers which are not composite , are called prime numbers . Thus , 1 , 2 , 3 , 5 , 7 , 11 , and 13 , are prime ...
... factors which compose a cube number is called the cube root of the number . Thus , 3 is the cube root of 27 . 10. All numbers which are not composite , are called prime numbers . Thus , 1 , 2 , 3 , 5 , 7 , 11 , and 13 , are prime ...
Σελίδα 15
... prime number , or composed of prime factors . For , all numbers which are not prime are composite , and can therefore be separated into two or more factors ; and if these factors are not prime , they can again be separated into other ...
... prime number , or composed of prime factors . For , all numbers which are not prime are composite , and can therefore be separated into two or more factors ; and if these factors are not prime , they can again be separated into other ...
Σελίδα 16
... prime factors . 21728 2364 2,182 7 91 13 Therefore , 2 × 2 × 2 × 7 × 13 = 23 × 7 × 13 are the prime fac- tors of 728 . 2. Resolve 812 into its prime factors . 3. What are the prime factors of 978 . 4. What are the prime factors of 1011 ...
... prime factors . 21728 2364 2,182 7 91 13 Therefore , 2 × 2 × 2 × 7 × 13 = 23 × 7 × 13 are the prime fac- tors of 728 . 2. Resolve 812 into its prime factors . 3. What are the prime factors of 978 . 4. What are the prime factors of 1011 ...
Σελίδα 18
... factor ; we proceed as follows : We decompose them into their prime factors , and thus obtain 204-22 × 3 × 17 , and 468-22 × 32 × 13. Here we see that 22 × 3 is common to both the numbers 204 and 468 . Hence , to find the greatest factor ...
... factor ; we proceed as follows : We decompose them into their prime factors , and thus obtain 204-22 × 3 × 17 , and 468-22 × 32 × 13. Here we see that 22 × 3 is common to both the numbers 204 and 468 . Hence , to find the greatest factor ...
Σελίδα 20
... prime factors ( by Rule under Art . 6 , ) Select all the different factors which occur , observing that , when the same factor has different powers , to take the high- est power . The continued product of the factors thus selected will ...
... prime factors ( by Rule under Art . 6 , ) Select all the different factors which occur , observing that , when the same factor has different powers , to take the high- est power . The continued product of the factors thus selected will ...
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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.