Thursday, June 24, 2010

Multiplication

Multiplication:

It is usually easy to identify a Multiplication Problem because of the symbol that is used.
Multiplication (symbol "×") is the mathematical operation of scaling one number by another. It is one of the four basic operations in elementary arithmetic (the others being addition, subtraction and division).Because the result of scaling by whole numbers can be thought of as consisting of some number of copies of the original, whole-number products greater than 1 can be computed by repeated addition; for example, 3 multiplied by 4 (often said as "3 times 4") can be calculated by adding 4 copies of 3 together:

3 times 4 = 3 + 3 + 3 + 3 = 12.
3 times 4 = 4 + 4 + 4 = 12.

Multiplication is the one of the type of basic arithmetic operations. Usually addition,subtraction ,multiplication and division are the basic operations. Here we are going to discuss about multiplication operation. ‘x’ or‘.’ is the operator to identify the multiplication symbol. It is used to multiply two or more numbers.Let us now describe the steps involved in multiplication.


Brief Description about Multiplication:

In multiplication we can generally use three terms. They are

* Multiplicand
* Multiplier
* Product

For Example 2 x 3 =6

Here 2 is known as Multiplicand

And 3 is known as Multiplier

6 is known as the product

The other words of multiplication:

Symbol form:

. =Dot

X =Cross

Word Form:

* Product
* Multiply
* Times
* reciprocal of division

General Rule:

* Every number multiplied with zero is resultant to zero.
* Every number multiplied with one is resultant to the same number.

Example Problems

Example 1:

Find the multiplication value of 16 x 2

Solution:

16 times 2 is 32

Here we can use the multiplication table 2

Example 2:

Find the multiplication value of 23 x 14

Solution:

This involves the following steps.

They are

Step 1: This is the two digit multiplication.

Step 2: first multiply the 23 x 4

Step 3: we can use the multiplication table 4

Step 4:take the unit digit of 3

Step 5: that is 3 times 4 = 12

Step 6: keep 2 and consider 1 as the remainder

Step 7: then 2 times 4 is 8

Step 8: add remainder 1 to the value 8

Step 9: then it is 9

Step 10: then the resultant value of 23 x 4 is 92.

Step 11: now consider 23 x 1

Step 12: again take the unit digit value 3 x 1

Step 13: it is 3 then the remainder value is zero.

Step 14: then 2 x 1 is 2

Step 15: therefore 23 x1 = 23

Step 16: Now add both values in the following format.

Step 17: therefore the multiplication value of 23 x 14 is 322.

Hope you like the above example of Multiplication.Please leave your comments, if you have any doubts.

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