Higher Arithmetic: Designed for the Use of High Schools, Academies, and Colleges ...D. Appleton, 1851 - 342 σελίδες |
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Σελίδα 32
... Consists of two numbers , the one placed above the other , as in division . The number above the line is called the numerator ; the number below the line is called the denominator . Thus , is a vulgar fraction , whose numerator is 5 ...
... Consists of two numbers , the one placed above the other , as in division . The number above the line is called the numerator ; the number below the line is called the denominator . Thus , is a vulgar fraction , whose numerator is 5 ...
Σελίδα 33
... consisting of an integer and a fraction , is called a mixed number . Thus , 41 , 57 , 63 , and 1314 , are mixed numbers . They may also be written 4 + 1 , 5 + 7 , 6+ , and 13 + 1 . REDUCTION OF FRACTIONS . 16. SINCE the value of a ...
... consisting of an integer and a fraction , is called a mixed number . Thus , 41 , 57 , 63 , and 1314 , are mixed numbers . They may also be written 4 + 1 , 5 + 7 , 6+ , and 13 + 1 . REDUCTION OF FRACTIONS . 16. SINCE the value of a ...
Σελίδα 59
... consists of a unit followed by one or more ciphers . 37 Thus , 10 , 100 , 10 , and 363 , are decimal fractions . In practice , the denominators of decimal fractions are not written , but they are always understood . 37 Thus , instead of ...
... consists of a unit followed by one or more ciphers . 37 Thus , 10 , 100 , 10 , and 363 , are decimal fractions . In practice , the denominators of decimal fractions are not written , but they are always understood . 37 Thus , instead of ...
Σελίδα 76
... consist of an infinite number of figures . Hence , to determine whether a given vulgar fraction can be accurately expressed in decimals , we have this RULE . Decompose the denominator of the vulgar fraction , when reduced to its lowest ...
... consist of an infinite number of figures . Hence , to determine whether a given vulgar fraction can be accurately expressed in decimals , we have this RULE . Decompose the denominator of the vulgar fraction , when reduced to its lowest ...
Σελίδα 78
... consisting of but one figure ; placing this remainder , when divided by 29 , at the right of the quo- tient , agreeably to the usual rules of division , we get , I. 003448. Multiplying this by 8 , we get = 0.27586 . Substituting this ...
... consisting of but one figure ; placing this remainder , when divided by 29 , at the right of the quo- tient , agreeably to the usual rules of division , we get , I. 003448. Multiplying this by 8 , we get = 0.27586 . Substituting this ...
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acres amount of $1 annex annuity approximative values arith arithmetical progression bushel canceling ciphers common denominator common difference compound interest continued fraction cube root decimal figures decimal places denotes digits diminished divided dividend divisible by 9 EXAMPLES exponent expressed feet find the interest find the present following RULE frac fraction is equivalent gallons geometrical progression given principal gives greatest common measure half the number Hence improper fraction inches indorsement interest of $1 last term least common multiple less lowest terms method metical progression miles mixed number multiplied nearly number of decimal number of dollars number of terms numerator and denominator obtain Operation partial fraction perfect repetend places of decimals pound present worth prime factors quantity quotient rate per cent ratio Reduce remainder right-hand figure Rule under Art shillings square root subtract tabular number third term Total branches trial divisor vulgar fraction whole number wine vessel worth of $1 yards
Δημοφιλή αποσπάσματα
Σελίδα 309 - 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 22 - Divide the greater number by the less, the divisor by the remainder, and thus continue to divide the last divisor by the last remainder until there is no remainder ; the last divisor will be the greatest common divisor.
Σελίδα 132 - ... 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. 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, and...
Σελίδα 37 - Multiply all the numerators together for a new numerator, and all the denominators for a new denominator: then reduce the new fraction to its lowest terms.
Σελίδα 132 - 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 247 - 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 - The logarithm of the product of any number of factors is equal to the sum of the logarithms of the factors.
Σελίδα 9 - 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 234 - Multiply the first term by the power of the ratio, whose exponent is one less than the number of terms. EXAMPLES. 1.
Σελίδα 141 - DISCOUNT is an allowance made for the payment of money before it is due. The present worth of a...