Higher Arithmetic: Designed for the Use of High Schools, Academies, and Colleges ... with an Appendix |
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Common terms and phrases
acres added amount of $1 annuity approximative values arith arithmetical progression bushels canceling ciphers common denominator common difference composite number compound interest continued fraction cube root decimal figures denoted digits diminished discount dividend divisible by 9 equal EXAMPLES exponent feet following RULE 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 months multiplied nearly number is divisible number of dollars number of terms numerator and denominator obtain odd number Operation partial fraction perfect repetend pound present worth prime factors prime number quantity quotient rate per cent ratio reciprocal Reduce remainder result right-hand figure rods Rule under Art shillings square root subtract third term Total branches trial divisor twice the product unit vulgar fraction whole number yards
Popular passages
Page 17 - ... any number divided by 9 will leave the same remainder as the sum of its digits divided by 9.
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 - ... 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...
Page 39 - 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.
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 326 - The logarithm of the product of any number of factors is equal to the sum of the logarithms of the factors.
Page 236 - Multiply the first term by the power of the ratio, whose exponent is one less than the number of terms. EXAMPLES. 1.
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 143 - DISCOUNT is an allowance made for the payment of money before it is due. The present worth of a...
Page 217 - Divide the difference of the extremes by the number of terms, less 1, and the quotient will be the common difference.