Multiplication denoted with juxtaposition, cross sign or asterisk. It is among the four elementary, arithmetic and mathematical operations while others are division, subtraction, and addition. Multiplying is a repeated addition while a multiplication of two different numbers will be adding copies of one of the two. One is said to be multiplicand which is the first value while the one is called multiplier. A multiplier is the one that it is written for the first time while the multiplicand is in the second position. The multiplication of the integers will include some negative numbers while the rational numbers like fractions or real numbers will be defined using a systematic generation for the basic definition. The multiplication may be visualized while counting the objects that are arranged into the rectangle for an entire whole number or to find an area of a rectangle where the sides are given a certain length. An area of the rectangle will not be based on the side that had been measured before the other, and this is how it illustrates commutative property. A product of two measurements will be new types of the measurement. The example is that when you multiply two sides for a rectangle, it will give a dimensional analysis.

An inverse of multiplying is dividing. The example is that 4 by 3 equals to 12 while 12 divided by 4 equals 3. Multiplication may also be defined using different numbers like complex numbers or abstract constructs like matrices. The order for which the matrices have to be multiplied in will not matter. There is a listing of different types of products which are being used in mathematics.

In arithmetic, a sign of multiplication is X found between two terms. Multiplication may also be showed by a dot sign. With algebra, the multiplication that involves variable will be written through juxtaposition. This notation may also be used for the quantities which are found within parentheses. These types of multiplication may lead to ambiguity if the concatenated variable takes place for matching a name of a new variable.

With matrix multiplication, you should know that there is a distinction between a dot symbol and a cross. A cross symbol means taking the cross products for two vectors and it leads to a vector. A dot is used to denote a dot product for two vectors, and this may lead to a scalar.

In the computer programming, an asterisk is a common notation. This is because at the beginning, the computers had limited number of small characters and there was no multiplication sign and asterisk was on each keyboard.

A common method used to multiply simple numbers using paper or pencil requires the use of the multiplication table and it has to be consulted or memorized for small numbers. Multiplying numbers with decimal places; can be error prone and tedious. The common logarithms had been invented to be used for these calculations. Multiplication has now become easy by the use of electronic computers and the latest calculators which reduce the need to multiply manually.