The Normal Higher Arithmetic: Designed for Common Schools, High Schools, Normal Schools, Academies, Etc |
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Page 376
... root of a number . 800. A Root of a number is one of its equal factors . Roots are of different degrees ; as , second , third , etc. 801. The Square Root , or second root , of a number is one of its two equal factors . Thus , 8 is the ...
... root of a number . 800. A Root of a number is one of its equal factors . Roots are of different degrees ; as , second , third , etc. 801. The Square Root , or second root , of a number is one of its two equal factors . Thus , 8 is the ...
Page 377
... root of a number can be readily obtained by the following Rule . - Resolve the number into its prime factors , and for the square root form a product by taking ONE of every Two equal factors ; for the cube root , ONE of every THREE ...
... root of a number can be readily obtained by the following Rule . - Resolve the number into its prime factors , and for the square root form a product by taking ONE of every Two equal factors ; for the cube root , ONE of every THREE ...
Page 379
... root of 2025 is 45 . NOTES . - 1 . When there are three figures in the root , by the analytic method we use the formula for three terms ; by the geometrical method , after removing the first rectangles and small square , we have two ...
... root of 2025 is 45 . NOTES . - 1 . When there are three figures in the root , by the analytic method we use the formula for three terms ; by the geometrical method , after removing the first rectangles and small square , we have two ...
Page 380
... root , subtract the product from the dividend , and bring down the next period for the next dividend . V. Double the root now found for a second TRIAL DIVI- SOR , find the third term of the root as before , and thus pro- ceed until all ...
... root , subtract the product from the dividend , and bring down the next period for the next dividend . V. Double the root now found for a second TRIAL DIVI- SOR , find the third term of the root as before , and thus pro- ceed until all ...
Page 381
... ROOT . 812. The Applications of Square Root to problems involving geometrical figures are extensive . 813. The Side of a square is equal to the square root of its area . 1. A man owns a square lot containing 25 hectares ; how many ...
... ROOT . 812. The Applications of Square Root to problems involving geometrical figures are extensive . 813. The Side of a square is equal to the square root of its area . 1. A man owns a square lot containing 25 hectares ; how many ...
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Common terms and phrases
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.