Higher Arithmetic: Designed for the Use of High Schools, Academies, and Colleges ... with an AppendixD. Appleton and Company, 1849 - 342 σελίδες |
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Σελίδα 9
... composite number . Thus , 35 is a composite number , since it can be produced by multiplying 5 and 7 together . 5. The numbers which are multiplied together to produce a ... number , is called the cube root of the number CHAPTER DEFINITIONS,
... composite number . Thus , 35 is a composite number , since it can be produced by multiplying 5 and 7 together . 5. The numbers which are multiplied together to produce a ... number , is called the cube root of the number CHAPTER DEFINITIONS,
Σελίδα 10
... 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 numbers . 11. Unity divided by a number is the reciprocal of that number ...
... 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 numbers . 11. Unity divided by a number is the reciprocal of that number ...
Σελίδα 20
... number is a composite ; but if it terminate with one of the above digits , we must endeavor to divide it by some one of the primes , as found in the table , commencing with 3 . There is no necessity of trying 2 , for 2 will divide only ...
... number is a composite ; but if it terminate with one of the above digits , we must endeavor to divide it by some one of the primes , as found in the table , commencing with 3 . There is no necessity of trying 2 , for 2 will divide only ...
Σελίδα 21
... composite numbers up to the same extent . Our table is of sufficient extent to enable us to work all ordinary examples . Any prime number , except 2 and 3 , when divided by 6 , must have a remainder of 1 or 5 ; for all prime num- bers ...
... composite numbers up to the same extent . Our table is of sufficient extent to enable us to work all ordinary examples . Any prime number , except 2 and 3 , when divided by 6 , must have a remainder of 1 or 5 ; for all prime num- bers ...
Σελίδα 205
... composite number , the root can be found by suc- cessive extractions of the roots denoted by the prime factors of the original index . Thus , the 4th root may be found by extracting the 2d root twice in succession . The 6th root may be ...
... composite number , the root can be found by suc- cessive extractions of the roots denoted by the prime factors of the original index . Thus , the 4th root may be found by extracting the 2d root twice in succession . The 6th root may be ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
12 days 1st column acres added amount of $1 annexed annuity arith arithmetical progression bushel ciphers common difference compound interest continued fraction cube root decimal figures denoted diameter digits diminished dividend divisible by 9 EXAMPLES feet find the interest find the present following RULE fraction is equivalent gallons geometrical progression given principal gives greatest common measure gression half the number Hence improper fraction inches indorsement interest of $1 last term least common multiple less method metical progression miles mixed number multiplied nearly number is divisible number of dollars number of terms numerator and denominator obtain Operation oxen partial fraction period pounds present worth prime factors quantity quotient rate per cent ratio reciprocal Reduce remainder result right-hand figure Rule under Art second term shillings Solution square root subtract tabular number third term trial divisor true divisor twice the product vulgar fraction whole number worth of $1 yards
Δημοφιλή αποσπάσματα
Σελίδα 194 - Multiply the divisor, thus augmented, by the last figure of the root, and subtract the product from the dividend, and to the remainder bring down the next period for a new dividend.
Σελίδα 39 - Multiply all the numerators together for a new numerator, and all the denominators together for a new denominator.
Σελίδα 311 - That is, the square of the sum of two numbers is equal to the square of the first number, plus twice the product of the two numbers, plus the square of the second number.
Σελίδα 134 - If the payment be less than the interest, the surplus of interest must not be taken to augment the principal; but interest continues on the former principal until the period when the payments, taken together, exceed the interest due...
Σελίδα 17 - ... any number divided by 9 will leave the same remainder as the sum of its digits divided by 9.
Σελίδα 134 - The rule for casting interest, when partial payments have been made, is to apply the payment, in the first place, to the discharge of the interest then due. " If the payment exceeds the interest, the surplus goes towards discharging the principal, and the subsequent interest is to be computed on the balance of principal remaining due.
Σελίδα 178 - 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 249 - His head weighed as much as his tail and half his body, and his body weighed as much as his head and tail together. What was the weight of the fish ? Let 2x = the weight of the body in pounds.
Σελίδα 323 - That is, the cube of the sum of two quantities is equal to the cube of the first, plus three times the square of the first...
Σελίδα 41 - Then multiply each numerator by all the denominators, except its own, for a new numerator, and all the denominators together for a common denominator.