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

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acres added addition amount annuity approximate arithmetical progression becomes branches called canceling cent column common difference compound interest consists contain continued cost cube root decimal denominator denoted digits diminished discount divided divisible divisor dollars equal EXAMPLES exponent expressed extract feet figure four fourth gallons geometrical progression given gives greatest half Hence inches increased last term least common length less means measure method miles months multiplied nearly number of terms obtain Operation perform period person places pound preceding present worth prime factors principal quantity question quotient rate per cent ratio received reciprocal Reduce remainder repetend result rods RULE shillings side simple Solution sought square root subtract successive Suppose third tion true twice unit vessel vulgar fraction weight wine wish yards

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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 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 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 326 - The logarithm of the product of any number of factors is equal to the sum of the logarithms of the factors.

Página 236 - Multiply the first term by the power of the ratio, whose exponent is one less than the number of terms. EXAMPLES. 1.

Página 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.

Página 143 - DISCOUNT is an allowance made for the payment of money before it is due. The present worth of a...

Página 217 - Divide the difference of the extremes by the number of terms, less 1, and the quotient will be the common difference.