what is multiply?
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Answers
Explanation:
Multiplication (often denoted by the cross symbol ×, by the mid-line dot operator ⋅, by juxtaposition, or, on computers, by an asterisk *) is one of the four elementary mathematical operations of arithmetic, with the other ones being addition, subtraction and division. The result of a multiplication operation is called a product.
The multiplication of whole numbers may be thought of as a repeated addition; that is, the multiplication of two numbers is equivalent to adding as many copies of one of them, the multiplicand, as the quantity of the other one, the multiplier. Both numbers can be referred to as factors.
{\displaystyle a\times b=\underbrace {b+\cdots +b} _{a{\text{ times}}}}{\displaystyle a\times b=\underbrace {b+\cdots +b} _{a{\text{ times}}}}
For example, 4 multiplied by 3, often written as {\displaystyle 3\times 4}3\times 4 and spoken as "3 times 4", can be calculated by adding 3 copies of 4 together:
{\displaystyle 3\times 4=4+4+4=12}3\times 4=4+4+4=12
Here, 3 (the multiplier) and 4 (the multiplicand) are the factors, and 12 is the product.
One of the main properties of multiplication is the commutative property, which states in this case that adding 3 copies of 4 gives the same result as adding 4 copies of 3:
{\displaystyle 4\times 3=3+3+3+3=12}4\times 3=3+3+3+3=12
Thus the designation of multiplier and multiplicand does not affect the result of the multiplication.[1]
The multiplication of integers (including negative numbers), rational numbers (fractions) and real numbers is defined by a systematic generalization of this basic definition.
Multiplication is also defined for other types of numbers, such as complex numbers, and more abstract constructs like matrices. For some of these more abstract constructs, the order in which the operands are multiplied together matters. A listing of the many different kinds of products used in mathematics is given in Product (mathematics).
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