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" In the multiplication of whole numbers, place the multiplier under the multiplicand, and multiply each term of the multiplicand by each term of the multiplier, writing the right-hand figure of each product obtained under the term of the multiplier which... "
A Written Arithmetic, for Common and High Schools: To which is Adapted a ... - Page 24
by George Augustus Walton - 1864 - 348 pages
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The Progressive Higher Arithmetic: For Schools, Academies, and Mercantile ...

Horatio Nelson Robinson - Arithmetic - 1875 - 468 pages
...I. Write the several terms of the multiplier under the corresponding terms of the multiplicand. II. Multiply each term of the multiplicand by each term of the multiplier, beginning with the lowest term in each, and call the product of any fico orders, the order denoted...
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The Scholar's Algebra: An Introductory Work on Algebra

Lewis Hensley - Algebra - 1875 - 274 pages
...(2) -5X-6. (3) 2 X 80. The general rule for the multiplication of two expressions will now be : — Multiply each term of the multiplicand by each term of the multiplier in succession, determining the sign of every product by the Rule of Signs ; then collect the terms,...
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Written Arithmetic

George Augustus Walton - 1876 - 358 pages
...under the'multipUcand. Beginnlnf at the right, multiply each term of the multiplicand by each tent of the multiplier, successively, placing the right...products, and the result will be the entire product. 4O. PROOF I. Take the multiplicand for the multiplier, and the multiplier for the multiplicand. If...
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The Complete Algebra: Embracing Simple and Quadratic Equations, Proportion ...

Edward Olney - Algebra - 1877 - 466 pages
...5xy by — x'y1 . 16. To multiply two factors together when one or both are polynomials. R ULE. — MULTIPLY EACH TERM OF THE MULTIPLICAND BY EACH TERM OF THE MULTIPLIER, AND ADD THE PRODUCTS. Ex. 1. Multiply 2a'x — 3by + 4 m by Za'b'm. OPERATION. — It is immaterial...
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The Complete Algebra: Embracing Simple and Quadratic Equations, Proportion ...

Edward Olney - Algebra - 1878 - 516 pages
...ab; - 5xy by - x'y\ 10. To multiply tivo factors together whtn one or both are polynomials. RULE. — MULTIPLY EACH TERM OF THE MULTIPLICAND BY EACH TERM OF THE MULTIPLIER, AND ADD THE PRODUCTS. Ex. 1. Multiply 2a'x — Sby+lmby Za'Fm. OPERATION. — It is immaterial 2a2^...
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New Practical Algebra: Adapted to the Improved Methods of Instruction in ...

James Bates Thomson - Algebra - 1878 - 322 pages
...98. The various principles developed in the preceding cases, may be summed up in one GENERAL RULE. Multiply each term of the multiplicand by each term of the multiplier, giving each product its proper sign, and each letter its proper exponent. The sum of the partial products...
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A University Algebra

Edward Olney - 1878 - 360 pages
...completed. 84. Prob. — To multiply two factors together when one or both are polynomials. R ULE. — MULTIPLY EACH TERM OF THE MULTIPLICAND BY EACH TERM OF THE MULTIPLIER, AND ADD THE PRODUCTS. DEM. — Thus, if any quantity is to be multiplied by a + b — c, if wo take...
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New Elementary Algebra: Designed for Common and High Schools and Academies

Shelton Palmer Sanford - Algebra - 1879 - 348 pages
...and UNLIKE signs give — . 63. Every case in multiplication is embraced in the following RULE. — Multiply each term of the multiplicand by each term of the multiplier, and connect the partial products by their proper signs. NOTE I. — When some of the terms are alike...
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New Elementary Algebra: Designed for the Use of High Schools and ..., Book 1

Benjamin Greenleaf - Algebra - 1879 - 350 pages
...these partial products is 3 as -f- 5 a 6 -f- 2 ¿r ; the required product. Hence the following RULE. Multiply each term of the multiplicand by each term of the multiplier separately, and add the partial products. 4а + 3а + EXAMPLES. (2.) (3.) 3Ъ 5a: -j- 3y 12 а2 -j<dab...
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University Algebra

Webster Wells - Algebra - 1879 - 468 pages
...to the first. On this we base the following rule for finding the product of two polynomials. BULE. Multiply each term of the multiplicand by each term of the multiplier, remembering that like signs produce +, and unlike signs produce — , and add the partial products....
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