Higher Arithmetic: Designed for the Use of High Schools, Academies, and Colleges ... with an Appendix |
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Page 51
... then divide the product by 6 , its value will not be altered . 4 4x6 24 44 By this means , we find that Hence , to reduce a fraction to an equivalent one 6 6 6 GIVEN DENOMINATOR . 51 Reduction of fractions to a given denominator,
... then divide the product by 6 , its value will not be altered . 4 4x6 24 44 By this means , we find that Hence , to reduce a fraction to an equivalent one 6 6 6 GIVEN DENOMINATOR . 51 Reduction of fractions to a given denominator,
Page 60
... means of the deci- mal point , be operated upon by precisely the same rules as for whole numbers , provided we are careful to keep the decimal point always in the right place . Annexing a cipher to a decimal , does not change its value ...
... means of the deci- mal point , be operated upon by precisely the same rules as for whole numbers , provided we are careful to keep the decimal point always in the right place . Annexing a cipher to a decimal , does not change its value ...
Page 66
... means he will be enabled to determine the true place for the decimal point . Or , which perhaps would be more simple , let the decimal point be fixed in the first partial product , which may be done by the usual rules for decimals ...
... means he will be enabled to determine the true place for the decimal point . Or , which perhaps would be more simple , let the decimal point be fixed in the first partial product , which may be done by the usual rules for decimals ...
Page 86
... means of the following figure : 3 110 13 9 14 793103 21 12 4 11 23 7241 23 27 24 827 | 22 | 17 | 25 | 18 5 8 9 9 9 6 8 9 0 8 91 91 61 86 97 2 In this figure , the inner circle of figures , commencing at the O , directly under the ...
... means of the following figure : 3 110 13 9 14 793103 21 12 4 11 23 7241 23 27 24 827 | 22 | 17 | 25 | 18 5 8 9 9 9 6 8 9 0 8 91 91 61 86 97 2 In this figure , the inner circle of figures , commencing at the O , directly under the ...
Page 103
... means of bis- sextile or leap - year . 3 3 The fraction is the correction used by the Persian astronomers , who add 8 days in every 33 years , by having 7 regular leap - years , and then deferring the eighth until 5 years . 2. The ...
... means of bis- sextile or leap - year . 3 3 The fraction is the correction used by the Persian astronomers , who add 8 days in every 33 years , by having 7 regular leap - years , and then deferring the eighth until 5 years . 2. The ...
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Common terms and phrases
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
Popular passages
Page 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.
Page 39 - Multiply all the numerators together for a new numerator, and all the denominators together for a new denominator.
Page 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.
Page 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...
Page 17 - ... any number divided by 9 will leave the same remainder as the sum of its digits divided by 9.
Page 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.
Page 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.
Page 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.
Page 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...
Page 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.