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acres added addition algebraic arithmetic binomial bought bushels calculate called cents CHAPTER coefficient common contains cost curve denominator denote difference dimensions divided division divisor dollars earn equal equation example exceeds Exercise exponent expression factors feet figure Find the numbers find the value formula four fraction function give given graph greater horizontal inches indicated larger length less letter means miles monomial multiply negative number-pairs Observe obtained pair picture points polynomial positive pounds principle problem proportion quotient radical ratio received rectangle reduced remainder represent result rods Rule satisfy scale sheep Show side similar smaller sold solution Solve square root steps substituting subtract surd symbols third trinomial twice units unknown number write written yards
Page 261 - Multiply the divisor, thus increased, by the last figure of the root; subtract the product from the dividend, and to the remainder bring down the next period for a new dividend. 5. Double the whole root already found for a new divisor, and continue the operation as before, until all the periods are brought down. NOTE.
Page 261 - Subtract the square of this figure from the left-hand period, and to the remainder annex the next period for a dividend. 3. Double the root already found, for a trial divisor; find how often it is contained in the dividend, exclusive of the righthand figure, and place the result in the root, and also at the right of the trial divisor.
Page 182 - To reduce a fraction to its lowest terms. A fraction is in its lowest terms when the numerator and denominator have no common factor.
Page 110 - Divide the first term of the dividend by the first term of the divisor, and write the result as the first term of the quotient. Multiply the whole divisor by the first term of the quotient, and subtract the product from the dividend.
Page 236 - If the product of two numbers equals the product of two other numbers, either two may be made the means and the other two the extremes of a proportion.
Page 248 - ... may be found by multiplying the coefficient of the preceding...
Page 121 - The tens digit of a number is 3 less than the units digit. If the number is divided by the sum of the digits, the quotient is 4 and the remainder 3.
Page 138 - Prove that the square of the sum of any two numbers equals the square of the first number, plus twice the product of the two numbers, plus the square of the second number.
Page 231 - A ratio of greater inequality is diminished, and a ratio of less inequality is increased, by adding the same quantity to both its terms.