identity property of multiplication

Identity Property of Multiplication in Math

Definition

The identity property of multiplication is a fundamental concept in mathematics that states that any number multiplied by 1 will result in the original number. In other words, multiplying a number by 1 does not change its value.

Knowledge Points

The identity property of multiplication contains the following key points:

1. Any number multiplied by 1 equals the original number.
2. The product of any number and 1 is the number itself.
3. The identity property of multiplication is applicable to all real numbers.

Formula or Equation

The identity property of multiplication can be expressed using the following formula:

a * 1 = a

Where 'a' represents any real number.

Application

To apply the identity property of multiplication, simply multiply any number by 1. The result will always be the original number.

For example:

• 5 * 1 = 5
• (-3) * 1 = -3
• 0 * 1 = 0

Symbol

The symbol for the identity property of multiplication is an asterisk (*) representing the multiplication operation.

Methods

The identity property of multiplication can be applied using the following methods:

1. Multiplying any number by 1.
2. Recognizing that the product of any number and 1 is the number itself.

Solved Examples

1. Example: Solve 7 * 1. Solution: By applying the identity property of multiplication, we know that 7 * 1 = 7.

2. Example: Calculate (-2) * 1. Solution: Using the identity property of multiplication, we find that (-2) * 1 = -2.

Practice Problems

1. Practice: Evaluate 12 * 1.
2. Practice: Find the value of (-9) * 1.
3. Practice: Determine the result of 0 * 1.

FAQ

Q: What is the identity property of multiplication? A: The identity property of multiplication states that any number multiplied by 1 equals the original number.

Q: Is the identity property of multiplication applicable to all real numbers? A: Yes, the identity property of multiplication is applicable to all real numbers.

Q: How can I apply the identity property of multiplication? A: Simply multiply any number by 1, and the result will be the original number.