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Example of identity property
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The identity property refers to specific properties of certain operations (like addition and multiplication) that involve an "identity element." Here are examples for both addition and multiplication:
1. **Identity Property of Addition**: The identity element for addition is 0. This means that when you add 0 to any number, the sum is the number itself.
- Example: \( a + 0 = a \)
- For instance, \( 5 + 0 = 5 \).
2. **Identity Property of Multiplication**: The identity element for multiplication is 1. This means that when you multiply any number by 1, the product is the number itself.
- Example: \( a \times 1 = a \)
- For instance, \( 7 \times 1 = 7 \).
These properties help in simplifying mathematical expressions and solving equations.
1. **Identity Property of Addition**: The identity element for addition is 0. This means that when you add 0 to any number, the sum is the number itself.
- Example: \( a + 0 = a \)
- For instance, \( 5 + 0 = 5 \).
2. **Identity Property of Multiplication**: The identity element for multiplication is 1. This means that when you multiply any number by 1, the product is the number itself.
- Example: \( a \times 1 = a \)
- For instance, \( 7 \times 1 = 7 \).
These properties help in simplifying mathematical expressions and solving equations.
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