Put down the right-hand figure 4. Then say, 4 and 3 are 7; then, 3 and
4 are 7; then, 4 and 9 are 13, put down 3 and carry 1; then, 9 and 1
and 1 are 11, put down the 1 and carry 1; then, 1 and 2 and 1 are 4;
then write the left-hand figure 2. In multiplying small numbers, such
as 24 by 11, write the sum of the two figures between the two figures,
making 264, the required product.
To Multiply by 101, 1001, etc.
To multiply by 101, add two ciphers to the multiplicand, and add to
this the multiplicand.
2341 × 101 = 234100 + 2341
To multiply by 1001, add three ciphers to the multiplicand, and add to
this the multiplicand.
To Multiply by 5, 25, 125.
To multiply by 5, add a cipher and divide by 2.
To multiply by 25, add two ciphers and divide by 4.
To multiply by 125, add three ciphers and divide by 8.
Another Easy Way to Multiply.
82
54
----
4428
To multiply two figures by two figures, proceed as follows: Multiply
units by units for the _first_ figure.
Carry and multiply tens by units and units by tens, (adding) for the
_second_ figure. Carry and multiply tens by tens for the _remaining_
figure or figures. In this example proceed as follows:
2 × 4 = 8 = 1st figure.
(4 × 8) + (5 × 2) = 42. Therefore 2 = 2d figure.
(5 × 8) + 4 carried = 44 = 3d and 4th figures.
By a little practice any one may become as familiar with this rule and
as ready in its application as with the ordinary method.
To multiply any number by 2-1/2, add one cipher, and divide by 4.
To multiply any number by 3-1/3, add one cipher, and divide by 3.
To multiply by 33-1/3, add two ciphers, and divide by 3.
To multiply any number by 1-3/7, add one cipher, and divide by 7.
To multiply by 16-2/3, add two ciphers, and divide by 6.
To multiply by 14-2/7, add two ciphers, and divide by 7.
To multiply by 875, add three ciphers, and divide by 8.
To divide by 25, multiply by 4, and cut off two figures.
To divide by 125, multiply by 8, and cut off three figures.
To multiply by 12-1/2, add two ciphers, and divide by 8.
To find the value of any number of articles at 75 cents each, deduct
one-quarter of the number from itself and call the remainder dollars.
To Subtract Any Number Consisting of Two Figures from 100.
Take the first figure from 9, and the second from 10. For example: in
subtracting 73 from 100, or in taking 73 cents change out of a dollar,
say 7 from 9 and 2, and 3 from 10 and 7, or 27 cents. Practice this
rule. It is simple, and will be found particularly helpful in making
change.
Divisions.
A number is divisible by 2 when the last digit is even.
A number is divisible by 4 when the last two digits are divisible by 4.
To divide by 12-1/2, multiply by 8, and cut off two figures.
Simple Discount Rule.
This simple rule is in use in many houses where several discounts are
allowed from list prices. Suppose the list price of a piano to be $500,
and you allow an agent 25, 20 and 10 off.
Public-domain text, read in full here on John Shaqi.
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