Books Books 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 Higher Schools: To which is Adapted a ... - Page 32
by George Augustus Walton - 1864 - 348 pages ## Mathematics: Compiled from the Best Authors, and Intended to be ..., Volume 1

Samuel Webber - Mathematics - 1808 - 470 pages
...8^a — yx by — 2x* 3xy* Product CASE III. When both the factors are compound quantities. / RULE. Multiply each term of the multiplicand by each term of the multiplier ; then add all the products together, and the sum will be the product required. EXAMPLES. 1. 2. Multiply... ## Elements of Algebra

William Smyth - Algebra - 1830 - 264 pages
...From what has been done we have the following rule for the multiplication of polynomials, viz. 1°. Multiply each term of the multiplicand by each term of the multiplier, observi»g with respect to the signs, that if two terms multiplied together have each the same sign,... ## A Treatise on the Elements of Algebra

Bewick Bridge - Algebra - 1832 - 199 pages
...Ex. 4. 12a3— 2aa+4a— 1 Ex.6 4x' — 3xy CASE III. When both/actors are compound quantities. 22. Multiply each term of the multiplicand by each term of the multiplier, placing like quantities under each other: the sum of all the terms will be the product required. Ex.... ## First Lessons in Algebra: Being an Easy Introduction to that Science ...

Ebenezer Bailey - Algebra - 1835 - 258 pages
...algebraic quantities. To facilitate practice, they will now be repeated together. 1. MULTIPLICATION. Multiply each term of the multiplicand by each term of the multiplier. &. SIGNS. When loth terms have the same sign, the product has the sign -f- ; but when they have different... ## The Elements of Arithmetic...

Augustus De Morgan - Algebra - 1840 - 186 pages
...three examples may be collected the following rule for the multiplication of algebraic quantities : Multiply each term of the multiplicand by each term of the multiplier ; when the two terms have both + or both — before them, put •+• before their product ; when one... ## The first principles of algebra, for the use of the boys of the Royal ...

Admiralty - 1845 - 154 pages
...Mult. 2-- by V Ans. 29. W^ew <Ae multiplicand or multiplier, or both of them, consist of several terms. Multiply each term of the multiplicand, by each term of the multiplier. Place the products together with their proper signs. EXAMPLES. a-\-bx Multiplied by x is ax+bx* 4x—3y... ## A Treatise on Algebra

Elias Loomis - Algebra - 1846 - 380 pages
...has the sign minus: (55.) The following rule then comprehends the whole doctrine of multiplication. Multiply each term of the multiplicand, by each term of the multiplier, and add together all the partial products, observing that like signs require + in the product, and... ## A Treatise on Algebra

Elias Loomis - Algebra - 1846 - 346 pages
...has the sign minus: (55.) The following rule then comprehends the whole doctrine of multiplication. Multiply each term of the multiplicand, by each term of the multiplier, and add together all tht partial products, observing that like signs require + in the product, and... ## Practical Arithmetic: Uniting the Inductive with the Synthetic Mode of ...

James Bates Thomson - Arithmetic - 1846 - 362 pages
...1. Place the several terms of the multiplier under the carresponding 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,... 