identity property of one

Answer: The identity property of one is a fundamental concept in mathematics that relates to the multiplication operation. It states that when any number is multiplied by one, the result is always the original number itself. In other words, the identity property of one states that one is the multiplicative identity element.

The knowledge points contained in the identity property of one are:

1. Definition: The identity property of one states that for any number a, a multiplied by one is equal to a.

2. Formula or equation: The formula for the identity property of one is a * 1 = a, where 'a' represents any number.

3. Application: To apply the identity property of one, simply multiply any number by one. The result will always be the original number itself.

4. Symbol: The symbol for the identity property of one is the multiplication symbol (*) followed by the number one (1).

Methods for applying the identity property of one include:

1. Multiplying any number by one: Simply multiply the given number by one to obtain the same number as the result.

2. Using the identity property in calculations: When solving equations or simplifying expressions, the identity property of one can be used to simplify multiplication steps.

Here are a few solved examples to illustrate the identity property of one:

Example 1: 5 * 1 = 5 Explanation: According to the identity property of one, when 5 is multiplied by 1, the result is 5 itself.

Example 2: (-2) * 1 = -2 Explanation: Applying the identity property of one, when -2 is multiplied by 1, the result is -2 itself.

Practice problems on the identity property of one:

1. Solve: 12 * 1 = ?
2. Simplify: (-7) * 1 = ?
3. Calculate: 0 * 1 = ?

Answers:

1. 12 * 1 = 12
2. (-7) * 1 = -7
3. 0 * 1 = 0

FAQ on the identity property of one:

Q: What is the identity property of one? A: The identity property of one states that when any number is multiplied by one, the result is always the original number itself.

Q: How do I apply the identity property of one? A: To apply the identity property of one, simply multiply any number by one. The result will always be the original number itself.

Q: What is the formula for the identity property of one? A: The formula for the identity property of one is a * 1 = a, where 'a' represents any number.