The Fundamental Identity Laws in Mathematics | Simplifying Equations with Addition and Multiplication

Identity laws

The identity laws are a set of fundamental principles in mathematics that deal with the concept of identities

The identity laws are a set of fundamental principles in mathematics that deal with the concept of identities. In mathematical terms, an identity is an equation that holds true for all values of the variable(s) involved.

There are two identity laws in mathematics:

1. Identity Law of Addition: According to this law, when a number is added to zero, the sum is equal to the original number. Symbolically, it can be expressed as:
a + 0 = a
For any number ‘a’, adding zero to it will not change its value. This is because zero is known as the additive identity element.

2. Identity Law of Multiplication: This law states that when a number is multiplied by one, the product is equal to the original number. Symbolically, it can be written as:
a * 1 = a
For any number ‘a’, multiplying it by one will yield the same value. One is known as the multiplicative identity element.

These identity laws are universal and hold true for any real number. They are fundamental building blocks in algebra and help simplify various mathematical expressions and calculations.

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