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

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### Common terms and phrases

18 days acres amount of $1 annuity approximative values arithmetical progression bushels canceling ciphers column common difference compound interest continued fraction cube root decimal figures decimal places decimal point denominate value denoted digits divided divisible by 9 equal example exponent expressed 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 hours each day improper fraction inches indorsement interest of $1 last term least common multiple less method metical progression miles mixed number multiplied 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 reciprocal Reduce remainder result right-hand figure rods Rule under Art shillings square root subtract third term trial divisor vulgar fraction whole number worth of $1

### Popular passages

Page 17 - ... any number divided by 9 will leave the same remainder as the sum of its digits divided by 9.

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 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 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.

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 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.

Page 325 - The logarithm of the product of any number of factors is equal to the sum of the logarithms of the factors.

Page 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.