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what is the identity for multiplication

 

Definitions from the Web

Identity for Multiplication

Definition:

The identity for multiplication, also known as the multiplicative identity, is the number that, when multiplied by any other number, results in the same number.

Senses:

  1. In mathematics, the identity for multiplication is always the number 1.
  2. In algebra, the identity for multiplication represents the element within a set that does not change the value of any other element when multiplied.

Usage:

Example 1 (Mathematics):

The identity for multiplication is a fundamental concept in arithmetic. It is denoted as 1 and ensures that any number multiplied by 1 remains unchanged. For example, 5 × 1 = 5.

Example 2 (Algebra):

In the set of real numbers, the identity for multiplication is crucial for solving equations. When solving x × 1 = 7, we can easily determine that x must equal 7. This helps simplify many mathematical operations.

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