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We have seen that multiplying by a whole number is taking the multiplicand as many times as there are units in the multiplier.
Practical and Mental Arithmetic: Designed Principally to Accompany Daboll's ... - Σελίδα 45
των Roswell Chamberlain Smith - 1826 - 107 σελίδες
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Arithmetic, Designed for Academies and Schools

Charles Davies - 1843 - 12 σελίδες
...times the multiplicand is to be repeated, is called the multiplier. The number arising from repeating the multiplicand as many times as there are units in the multiplier, is called the product. The multiplicand and multiplier are called factors, or producers of the product....

Charles Davies - 1844 - 340 σελίδες
...adding three 5's together. We see from the above examples, that any product may be found by setting down the multiplicand as many times as there are units in the multiplier, and adding all the numbers together. MULTIPLICATION is therefore a slwrt method of addition. Q. How may...

Elements of Algebra: Embracing ... the Theory and Application of Logarithms ...

Davis Wasgatt Clark - 1844 - 346 σελίδες
...operations included unii.;r addition and subtraction. MULTIPLICATION. 88. MULTIPLICATION is repeating the multiplicand as many times as there are units in the multiplier. Thus : 1. If a is to be multiplied by b, it must be taken as many times as there are units in b, and...

Elements of Algebra: Being an Abridgment of Day's Algebra, Adapted to the ...

James Bates Thomson - 1844 - 252 σελίδες
...factors, in multiplication, is always to be considered as a number. The operation consists in repealing the multiplicand as many times as there are units in the multiplier. How then can a line, a surface, or a solid, become a multiplier 1 To explain this it will be necessary...

An Elementary Treatise on Algebra: Designed to Facilitate the Comprehension ...

Ormsby MacKnight Mitchel - 1845 - 294 σελίδες
...multiplier. The product will be +ab. It will be +, because multiplication is but a short method of adding up the multiplicand as many times as there are units in the multiplier. But if +a be added together as many times as there are units in b, since the sum of any number of positive...

A New Practical and Theoretical Arithemtic: In Which, in Addition to the ...

Horatio Nelson Robinson - 1845 - 288 σελίδες
...will consider the nature of multiplication, the real object sought for. It is, to obtain the amount of the multiplicand as many times as there are units in the multiplier. Now, suppose we wish to multiply any number by 37, which is not a composite number, we miiy consider...

The American Statistical Arithmetic: Designed for Academies and Schools

Francis Henney Smith - 1845 - 276 σελίδες
...NUMBERS. 159* MULTIPLICATION of Compound Numbers, like that of simple numbers, consists in repeating the multiplicand as many times as there are units in the multiplier. Multiply £14 2s. 3d. by 2. Placing the multiplier under the OPERATION. lowest unit of the multiplicand,...

Elements of Algebra: Including Sturms' Theorem

Charles Davies - 1845 - 368 σελίδες
...V MULTIPLICATION. 40. ALGEBRAIC multiplication has the same object as arithmetical, viz., to repeat the multiplicand as many times as there are units in the multiplier. The multiplicand and multiplier are called factors. It is proved in Arithmetic (see Davies' Arithmetic,...

Smith and Duke's The American Statistical Arithmetic: Designed for Academies ...

Francis Henney Smith - 1845 - 282 σελίδες
...NUMBERS. 159* MULTIPLICATION of Compound Numbers, like that of simple numbers, consists in repeating the multiplicand as many times as there are units in the multiplier. Multiply £11 2s. 3d. by 2. Placing the multiplier under the OPERATION. lowest unit of the multiplicand,...

A Treatise on Algebra

Elias Loomis - 1846 - 346 σελίδες
...— 1 ; — 3 less than — 2, etc. .SECTION IV. MULTIPLICATION. (48.) Multiplication is repeating the multiplicand, as many times as there are units in the multiplier. When several quantities are to be multiplied together, the result will be the same, in whatever order...