## The Normal Higher Arithmetic: Designed for Common Schools, High Schools, Normal Schools, Academies, Etc |

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acres amount annuity barrel bought bushels called cents ciphers circumference column common denominator common fraction composite numbers compound interest compound number contains continued fraction cost cube cubic decimal places denominate fraction diameter difference discount divide dividend dollars EXAMPLES FOR PRACTICE expressed feet figures Find the sum fractional units gain gallons given gold greatest common divisor Hence the following hundred hundredths inches integer interest invested least common multiple longitude measure meter method miles minuend months multiplicand multiply number is divisible number of days number of terms OPERATION paid par value partial fraction payable payment pound premium prime factors prime number PRINCIPLES quantity quotient Reduce remainder repetend rods Rule Rule.-I shares shillings sold SOLUTION SOLUTION.-The square subtract subtrahend tenths thousandths Troy Weight weight write yard

### Popular passages

Page 174 - Thirty days hath September, April, June, and November ; All the rest have thirty-one, Except the second month alone, Which has but twenty-eight, in fine, Till leap year gives it twenty-nine.

Page 80 - Multiplying both numerator and denominator of a fraction by the same number does not change the value of the fraction.

Page 500 - Compute the interest to the time of the first payment ; if that be one year or more from the time the interest commenced, add it to the principal, and deduct the payment from the sum total. If there be after payments made, compute the interest on the balance due to the next payment, and then deduct the payment as above; and in like manner from one payment to another, till all the payments are absorbed; provided the time between one payment and another be one year or more.

Page 508 - For, since 10" = 10, the log. of 10 is 1 ; and since 10° = 1, the logarithm of 1 is 0. PRIN. 3. — The characteristic of the logarithm of a decimal is negative, and is numerically one greater than the number of ciphers between the decimal point and the first significant figure. For, if we raise the base, 10, to powers which give decimals, we will have, 10° = 1 ; hence, log 1 = 0 ; 10—'=.

Page 500 - But if any payments be made before one year's interest hath accrued, then compute the interest on the principal sum due on the obligation, for one year, add- it to the principal, and compute the interest on the sum paid, from the time it was paid up to the end of the year; add it to the sum paid, and deduct that sum from the principal and interest, added as...

Page 358 - Divide the sum of the products by the sum of the debts, and the quotient will be the average term of credit, estimated from the date selected.

Page 168 - LIQUID MEASURE 4 gills (gi.) = 1 pint (pt.) 2 pints = 1 quart (qt...

Page 469 - A circle is a plane figure bounded by a curved line, every point of which is equally distant from a point within called the center.

Page 356 - Multiply each payment by its term of credit, and divide the sum of the products by the sum of the payments ; the quotient will be the average term of credit.

Page 476 - A sphere is a solid bounded by a curved surface, every point of which is equally distant from a point within called the center.