Additive Identity Property
The additive identity property is also known as the identity property of addition, which states that adding 0 to any number, results in the number itself. This is due to the fact that when we add 0 to any number, it does not change the number and keeps its identity.
| 1. | What is the Additive Identity Property? |
| 2. | Additive Identity Property Formula |
| 3. | Additive Identity of Whole Numbers |
| 4. | Additive Identity of Integers |
| 5. | FAQs on Additive Identity Property |
What is the Additive Identity Property?
The additive identity property of numbers is one of the important properties of addition. We know that addition is the process of adding two or more numbers together. This property is applied when numbers are added to zero. Zero is known as the identity element in this property. Thus, if we add any number to zero, the obtained result will be the same number. This property can be applied to real numbers, complex numbers, integers, rational numbers, and so on.
For example, if P is any real number, then we can express this fact as follows.
P + 0 = P = 0 + P
Additive Identity Property Formula
The formula of additive identity is written as a + 0 = a. This explains that when any number is added to zero, the sum is the number itself. For example, if we add 5 to 0 we get 5 as the sum. 5 + 0 = 5.
Additive Identity of Whole Numbers
The additive identity of whole numbers is zero. This means when a whole number is added to zero, it results in the number itself. So if 'a' is a whole number that is added to zero then the result will be the whole number. For each and every whole number 'a', a + 0 = 0 + a = a. Zero is the additive identity element in the set of W. Now, let us check this property with a whole number like 54, the result will be the number itself. 54 + 0 = 54.
Additive Identity of Integers
The additive identity of integers states that if any integer is added to zero, it results in the integer itself. We know that integers include whole numbers and negative numbers, for example, 34, 0, -89, and so on are integers. Now let us apply the identity property of addition on integers. For example, if we need to add -65 + 0, we will get -65.
Additive Identity and Multiplicative Identity
The following points show the difference between the additive identity and the multiplicative identity of numbers.
- The additive identity of numbers is used for the addition operation, whereas, the multiplicative identity is used for a multiplication operation.
- 0 is the identity element in the additive identity (p + 0 = p), whereas, 1 is the identity element in the multiplicative identity (p × 1 = p).
- 73 + 0 = 73 is the example of the additive identity property and 73 × 1 = 73 is the example of the multiplicative identity property.
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FAQs on Identity Property of Addition
What is the Identity Property of Addition in Math?
The identity property of addition is also known as the additive identity property, according to which when a number is added to zero, it results in the number itself. For example, if 7 is added to 0, the sum is the number itself. 7 + 0 = 7. Here, zero is known as the identity element which keeps the identity of the number.
What is the Difference Between Additive Identity and Multiplicative Identity?
The following points show the differences between Additive Identity and Multiplicative Identity.
- The additive identity of numbers is used for the addition operation, whereas, the multiplicative identity is used for a multiplication operation.
- 0 is the identity element in the additive identity (p + 0 = p), whereas, 1 is the identity element in the multiplicative identity (p × 1 = p).
- 45 + 0 = 45 is the example of the additive identity property and 45 × 1 = 45 is the example of the multiplicative identity property.
What is an Example of the Additive Identity Property?
An example of the additive identity property of addition is 8 + 0 = 8. This shows that when zero is added to a number, the sum is the number itself.
What is the Additive Identity of Whole Numbers?
The additive identity of whole numbers is the property of zero by which the value of the whole number remains the same when added to zero. This means if zero is added to any whole number like 0, 3, or 12, the result is the number itself. 0 + 0 = 0, 3 + 0 = 3, 12 + 0 = 12.
What is an Additive Identity Element?
An additive identity element is a number which when added to another number gives the result as the number itself. Zero is such a number that fulfills this particular condition. Therefore, 0 is an additive identity element. For example, 9 + 0 = 9.
What is the Additive Identity of Value p?
Additive identity means when a number is added to another number it gives the result as the number itself. The additive identity of value p is 0, because p + 0 = p