How much is 294 times -137?

Definition

What is?
Multiplication is a basic arithmetic operation that involves combining two or more numbers to obtain a product. In mathematics, the multiplication of two numbers a and b is represented as a × b. This operation is commutative, meaning that the order of the numbers being multiplied does not affect the result. Multiplication is also associative, meaning that when multiplying three or more numbers, the order in which the operations are performed does not affect the final result. The number 1 serves as the identity element of multiplication, meaning that when any number is multiplied by 1, the result is the same number. Finally, multiplication is a closed operation in the real numbers, meaning that the product of any two real numbers is also a real number.

Elements:
The elements of multiplication are known:

• Operation: 294 x -137;
• multiplying: 294;
• multiplier: -137;
• operator: x;
• product: -40278.

Properties

The multiplication operation has important properties:

• Commutativity
  Commutativity is a property of multiplication where the order of the numbers being multiplied does not affect the result. This means that for any two numbers a and b, the product of a and b is the same as the product of b and a. In mathematical notation, this can be represented as a x b = b x a.
  294 x -137 = -137 x 294 = -40278.
  
  
• Associativity
  Associativity is a property of multiplication that allows the grouping of three or more numbers to be rearranged without changing the final result. It means that when multiplying multiple numbers together, the order in which the operations are performed does not matter. The property is represented as (a x b) x c = a x (b x c) for any numbers a, b, and c.
  ( 294 x -137 ) x 1 = -40278
  294 x ( -137 x 1 ) = -40278.
  
  
• Distributivity
  Distributivity is a property of multiplication that relates to the way multiplication interacts with addition or subtraction. This property states that multiplying a number by the sum or difference of two other numbers is the same as multiplying the number by each of the two other numbers and then adding or subtracting the products together. In other words, a x (b + c) = (a x b) + (a x c) and a x (b - c) = (a x b) - (a x c), where a, b, and c can be any numbers.
  
  
  
• Neutral element
  The element neutral of multiplication is the number 1. This means that when any number is multiplied by 1, the result is that same number. In other words, 1 is the identity element of multiplication, and any number multiplied by 1 retains its original value. This property is important in mathematics, as it simplifies multiplication expressions and makes it easier to solve equations.
  294 x 1 = 294;
  -137 x 1 = -137.
  
  
• Closure
  The operation of multiplication is closed in the set of real numbers. This means that when two real numbers are multiplied together, the result is always a real number. In other words, the product of any two real numbers is also a real number.
  294 is a real number;
  -137 is a real number;
  -40278 is a real number.