Which is an example of the Identity Property of Multiplication? c.5 + 0 =5 b. 5(1)=5 a.5 (0) = 0 d.5 (1) = 1(5)
The Correct Answer and Explanation is:
Correct Answer: b. 5(1) = 5
Explanation
The Identity Property of Multiplication states that any number multiplied by 1 remains unchanged. This property helps us understand how multiplication interacts with the number 1, which is known as the multiplicative identity.
In the given options, option b (5 × 1 = 5) is the correct example of the Identity Property of Multiplication. Here, the number 5 is multiplied by 1, and the product is still 5. This means that multiplying a number by 1 does not change its value. That’s exactly what this property describes.
Let’s examine the other choices:
- a. 5 × 0 = 0 – This is an example of the Zero Property of Multiplication, not the identity property. The Zero Property says that any number multiplied by 0 is always 0.
- c. 5 + 0 = 5 – This is an example of the Identity Property of Addition, where adding 0 to any number does not change its value.
- d. 5 × 1 = 1 × 5 – While this is true and shows the Commutative Property of Multiplication (changing the order of the numbers doesn’t change the result), it’s not specifically showing the identity property.
Understanding the Identity Property of Multiplication is important because it helps reinforce the concept that 1 is a neutral element in multiplication. No matter what number you choose, multiplying it by 1 will keep the number the same. This property is used in simplifying expressions, solving equations, and working with algebraic identities.
For example, if you see an algebraic expression like x × 1, you know it can simply be written as x due to the identity property.
In summary, option b is the correct choice because it clearly demonstrates the Identity Property of Multiplication, which is an essential concept in both arithmetic and algebra.
