...affirmative terms, a + £, will be af +• bf^ becaufe, to multiply one' quantity by another, is to take the multiplicand as many times as there are units in the multiplier, and to take the whole multiplicand (a + b) any number of times (/"), is the fame as to take all its parts...

...Algebra, Sec. IV. Maclau jin. Saunderaon, Lacroix, Ludlam. 90. Multiplying bi/ a whole number is taking the multiplicand as many times, as there are units in the multiplier.* Multiplying by 1, is taking the multiplicand once, as a. Multiplying by 2, is taking the multiplicand...

...idea which we have given of multiplication, we see that we could perform this operation by writing the multiplicand as many times as there are units in the multiplier, and afterward performing the addition. For instance, to multiply 7 by 3, we could write 7 + 7 + 7, and...

...fraction, for doubtless it has appeared rather strange. In multiplying by a whole number, we talte the multiplicand as many times as there are units...then ; how many times do you take the multiplicand ? A. 1. Give an example. Now it is plain that if we multiply by any thing less or more than 1, the...

...answer by adding ; but when the multiplier is a large number, it would be very tedious to set down the multiplicand as many times as there are units in the multiplier, and be obliged to add them up. This shows the great utility of multiplication. 8. What is the price of...

...to multiplication by positive whole numbers. This, according to the definition (Art. 90.) is taking the multiplicand as many times, as there are units in the multiplier. Suppose a is to be multiplied by b, and that b stands for 3. There are, then, three units in the multiplier...

...to the left. SUPPLEMENT TO MULTIPLICATION. Multiplying by a mixed number, as 6J, 5J, &c. is taking the multiplicand as many times as there are units in the multiplier ; and likewise taking a part of the multiplicand as many times as there are like portions of a unit in the...

...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. § -29. The multiplicand and multiplier are factors, or producers, of the product....

...amount, several times repeated, may be accomplished by Addition ; first, by writing down the figures of the multiplicand as many times as there are units in the multiplier, in a column, and adding them up. But the end is attained much more quickly, more pleasantly, and with...

...b). 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. It is generally proved, in arithmetical treaties, that the product of two or more numbers is the same,...