Education > Complete treatise on practical arithmetic and book-keeping

SIMPLE MULTIPLICATION. 7
. iceed a certain number of tens, set down the escess, and
an y for the tens as before.
Examples.
Multiply 1234567890 by each number separately from
to 12.
| II. To multiply by a number consisting of several figures.
1. Write it below the multiplicand, and find the product
ir each figure in it as in the first case, not regarding in what
rder the lines are found, proTided the first figure in each
:and straight below its respective multiplier.
2. Add all the lines of products together in the same or-
ler as they stand, and the sum will be the whole product
Squired.
j To prove Multiplication. Make the former multiplicand the mul-
plier, and the multiplier the multiplicand, and proceed as before; and .
ie new product will be the same as before when the work is right.—
therwise,add together the figures in each factor, easting out aD the nines
t the sums as often as they amount to 9. Multiply the two remainders
igether, and the nines cast out of their product will leave the same re¬
mainder as the nines cast out of the answer when the work is right.
Examples
' 1. Required the product of 2735S0961 and 23.
Ans. 6292362103.
2. Required the product of 6241578309 and 37.
Ans. 230938397433.
- 8. What is the product of 5318625074 and 43 ?
Ans. 228700878182.
4. What is the product of 751900368 and 51 ?
Ans. 38346918768.
5. What is the product of 402097316 and 195 ?
Ans. 78408976620.
6. What is the product of 82164973 and 3027 ?
Ans. 24S713373271.
7. What is the product of 16358724 and 704006 ?
Ans. 11516639848341.
8. What is the product of 921760035 and 520007091 t
Ans. 479321754400408185.
9. What is the product of 38015732 and 400700065 ?
Ans. 15232906283422580.
Contractions.
I. When there are ciphers at the right of one or both fac¬
ers, proceed as before, neglecting the ciphers; and to the