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... Elements of Algebra - Page 49by William Smyth - 1833 - 280 pagesFull view - About this book
| James Bates Thomson - Arithmetic - 1847 - 426 pages
...1. Place t/te several terms of the multiplier undo- the corresponding terms of the multiplicand. II. Multiply each term of the multiplicand by each term of the multiplier separately, beginning with the lowest denomination in the 'multiplicand, and lite highest in tlie multiplier,... | |
| James Bates Thomson - Arithmetic - 1848 - 434 pages
...Place the several terms of the multiplier tinder the correspond' ing terms of the multiplicand. II. Multiply each term of the multiplicand by each term of the multiplier separately, beginning with the lowest denomination, in the multiplicand, and the highest in the multiplier,... | |
| Stephen Chase - Algebra - 1849 - 348 pages
...ac+bc+ay+by. See §67. Hence, we have, for the multiplication of polynomials, the following RULE. § 71. Multiply each term of the multiplicand by each term of the multiplier, and add the products. See Geom. §178. Cor. III. a.) This is precisely the method employed in Arithmetic.... | |
| William Smyth - Algebra - 1851 - 272 pages
...polynomials: 1°. Arrange th« proposed polynomials according to the powers of the same letter. 2°. Multiply each term of the multiplicand by each term of the multiplier, observing that if the terms are affected each with the same sign, the product should have the sign -\-; hit if... | |
| Joseph Ray - Algebra - 1852 - 408 pages
...terms in each are positive, we have the following RULE FOE MULTIPLYING ONE POLYNOMIAL BY ANOTHER. — Multiply each term of the multiplicand by each term of the multiplier, and add the products together. EXAMPLES. 2. Multiply x-\-y by a-\-c. Ans. ax-\-ay-\-cx-\-cy. 3. Multiply... | |
| Benjamin Greenleaf - Algebra - 1853 - 370 pages
...— am. Ans. CASE III. 84. When both the multiplicand and multiplier are compound quantities. RULE. Multiply each term of the multiplicand by each term of the multiplier, remembering that the product of like signs is -\-, and the product of unlike signs is — ; then add... | |
| William Smyth - Algebra - 1855 - 370 pages
...2ai2 + a2 — <* multiplied by cf — ab2 -j- <? gves aa — 2a To verify this result let a = 5, I = 2, c = 3. From what has been done we have the following...each the same sign, the product must have the sign -j-, but if they have different signs, the product must have the sign — ; 2°. Add together the partial... | |
| Elias Loomis - Algebra - 1855 - 356 pages
...minus, (55.) The whole doctrine of multiplication is therefore com prehended in the following ROLE. Multiply each term of the multiplicand by each term of the multiplier, and add together all the partial products, observing '.hat like signs require + in the product, and... | |
| Elias Loomis - Algebra - 1856 - 280 pages
...multiply a+b by c and d successively, and add the partial products. Hence we deduce the following RULE. Multiply each term of the multiplicand by each term of the multiplier separately, and add together the products. Examples. (1.) (2.) (3.) Multiply a+b 3x+2y ax+b by a+b... | |
| William Smyth - Algebra - 1858 - 344 pages
...-fa 2 — i? multiplied by a 2 — a 4 2 -f- i? — 2a 2 * 4 — gives a 3 4 2 + a 4 — 2a 2 4 4 + To verify this result let a = 5, b = 2, c = 3. From...each the same sign, the product must have the sign -j-, but if they have different signs, the product must have the sign — ; 2°. Add together the partial... | |
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