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" Hence we derive the following RULE. Divide the coefficient of the dividend by the coefficient of the divisor, and strike out the letters of the divisor from the dividend. "
An Introduction to Algebra Upon the Inductive Method of Instruction - Σελίδα 81
των Warren Colburn - 1831 - 276 σελίδες
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Elementary Algebra: For the Use of Schools

William Smyth - 1851 - 236 σελίδες
...has been done, the following rule for the division of monomials will be readily inferred, viz.: 1°. Divide the coefficient of the dividend . by the coefficient of the divisor. 2°. Strike out from the dividend the letters common to it and the divisor, when the erponents in each...

A Practical Treatise on Algebra: Designed for the Use of Students in High ...

Benjamin Greenleaf - 1852 - 336 σελίδες
...reduce it to its simplest form by cancelling the letters and Jigures, that are common to each term. Or, divide the coefficient of the dividend by the coefficient of the divisor, and strike out from the dividend the letters common to the divisor. 1. Divide Gab by 2a. EXAMPLES. ^ = 3b; or 6aJ-^2a=3J....

Ray's Algebra Part Second: An Analytical Treatise, Designed for High Schools ...

Joseph Ray - 1852 - 396 σελίδες
...Hence, we have the following RULE or THE COEFFICIENTS. — To obtain the coefficient of the quotient, divide the coefficient of the dividend by the coefficient of the divisor. 2d. The exponent of a in the quotient must be such a number, that when 2, the exponent of a in the...

The Theoretical and Practical Systematic Arithmetic; Or, Arithmetic Arranged ...

David Henry Cruttenden - 1853 - 316 σελίδες
...6/1 1 multiplied by 8 x 6*. Ans. 48 x 66*. CASE VI. 1. PRINCIPLE. To Divide Radical quantities. 2. RULE. Divide the coefficient of the dividend by the coefficient of the divisor, and the quantity under the radical sign of the dividend by that of the divisor. 3. Thus, dividing 6 x 14*...

A Practical Treatise on Algebra: Designed for the Use of Students in High ...

Benjamin Greenleaf - 1853 - 360 σελίδες
...it to its simplest farm ly cancelling the letters and figures that are common to all the terms. Or, divide the coefficient of the dividend by the coefficient of the divisor, and cancel the letters common to the divisor and dividend. 1. Divide 606 by 2o. EXAMPLES. 6 ~=3b;or,6ab+2a=3b....

Annual Report and Documents, Τόμοι 35-42

New York (State) School for the deaf, White Plains - 1854
...49as— 70ab+25b\" Resolve a2 — b~ into factors 1 What is the rule for the division of monomials 1 " Divide the coefficient of the dividend by the coefficient of the divisor, and write after the quotient the excess of the letters in the dividend over those in the divisor." Divide...

A Treatise on Algebra

Elias Loomis - 1855 - 316 σελίδες
...exponent of the dividend. (67.) Hence, for the division of monomials, we have the following RULE. 1. Divide the coefficient of the dividend by the coefficient of the divisor. 2. Subtract the exponent of each letter in the divisor from the exponent of the same letter in the...

Mathematical Dictionary and Cyclopedia of Mathematical Science: Comprising ...

Charles Davies, William Guy Peck - 1855 - 592 σελίδες
...factors. 3. To divide one radical by another. Reduce them to equivalent radicals having the same index ; divide the co-efficient of the dividend by the co-efficient of the divisor for a new co-efficient ; after this, write the common radical sign, and under it the quotient of the...

Common School Algebra

Thomas Sherwin - 1855 - 238 σελίδες
...ART. 48. From what precedes, we deduce the following RULE FOR DIVIDING ONE MONOMIAL BY ANOTHER. 1. Divide the coefficient of the dividend by the coefficient of the divisor. 2. Strike out from the dividend the letters common to it and the divisor, when they have the same exponents...

The Elements of Algebra

Elias Loomis - 1856 - 268 σελίδες
...the exponent of the dividend. Hence, for the division of monomials, we have the following RULE. I. Divide the coefficient of the dividend by the coefficient of the divisor. 2' Subtract the exponent of each letter in the divisor from the exponent of the same letter in the...




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