# Higher Arithmetic: Designed for the Use of High Schools, Academies, and Colleges ... with an Appendix

H. H. Hawley & Company, 1850 - 342 páginas

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Página 17 - ... any number divided by 9 will leave the same remainder as the sum of its digits divided by 9.
Página 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.
Página 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.
Página 24 - 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.
Página 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...
Página 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.
Página 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.
Página 212 - Hence, when we have giveh the first term, the common difference, and the number of terms, to find the last term, we have this RULE.
Página 325 - The logarithm of the product of any number of factors is equal to the sum of the logarithms of the factors.
Página 11 - 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.