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SIMPLE MULTIPLICATION.
9
5. What is the product of 61835720 and 1320 ?
Ans. 81623150400.
IV. When some of the figures of the multiplier may be
; produced by multiplying some others of them by any num-
iber, it is much easier and more concise, after having oh-
j tained the product of the less, to multiply that product by
• the same number for the product of the greater, than to
proceed by the common method.
Note. This holds as well when the less numbers are on the left, as when
they are on the right of the greater; for, by the general rule, the pro¬
ducts of the figures of the multiplier may be taken in any order. Eo
in the 1st of the following examples, first multiply by the 3, and then
its product by 3 again, for the product of 9, because 3 times 3 are
j 9.—In the 2d example, first multiply by the 4, and then double its
1 product, for the product of 8, because 2 times 4 are 8.—In the 3d
example, first multiply by the right hand 8, then 6 times its product
will be the product of 48 the next two figures, and again two times
this last will be the product of 96 tfae other two figures; so that there
' are only three lines of products to add up.—In the 4th example, first
multiply by the 5 on the left-hand, then 5 times its product will be
the product for the 25 on the right of it, and three times this last
.■ will be the product for the remaining 75, because three times 25 are
75. And in the 5th example, begin with the.S in the middle, then
• 9 times its product will be the product for the 27 on the left, and
again 2 times this last will be the product for the 54 on the right.
—So that none of these examples have more than three lines of pro-,
; ducts.—But in operating this way, be careful to attend to the gene¬
ral rule of placing the first figure of each product straight below
the first figure of its owa multiplier.
71380164
27354
The operation for the 5th or last example is here 214140492.,
annexed. 1927264428...
3354528856
1. Multiply 35802916 by 93. - Ans. 3329671188.
2. Required the product of 910738060 and 48.
Ans. 43715426880.
3. What is the product of 61370913 and 96488 ?
Ans. 5921556653544.
4. What is the product of 15861470 and 52575 ?
Ans. 728766785250.
5. What is the product cf 71380164 and 27354 ?
Ans. 1952533006056.'