Additive identity property explained

Learn and know what is additive identity in mathematics. Additive identity is one of the important properties of numbers. The other properties of numbers include closure property, commutative property, associative property, distributive property and additive inverse, multiplicative inverse and multiplicative identity.

Additive identity property explained

The meaning of additive identity is it is a number which when added to any other number gives the same result. The number which we are adding is called as additive identity. If suppose “a” is a number, for this number we add a number such that we need the result as “a” only. Do you know what is that number. The number that we have to add to “a” is “0”.

a + 0 = a

Here we added the number “0” to “a” and the result is “a”. So this number i.e. 0 is called as the additive identity.

Additive identity property for different types of numbers:

Additive identity for natural numbers is “0” because if “a” is a natural number then a + 0 = a.

The additive identity for whole numbers is “0” because if “a” is a whole number then a + 0 = a.

Similarly, the additive identity for integers, rational numbers, irrational numbers, and real numbers is “0” only.

Some Questions and answers on additive identity property:

What is the additive identity of the number 6?

Solution: The additive identity of 6 is 0, because 6 + 0 = 6.

Can you find what is the additive identity of -99?

Solution: the additive identity of -99 is 0 because -99 + 0 = -99.

Can you find what is the additive identity of 11/17 is?

Solution: the additive identity of 11/17 is 0 because 11/17 + 0 = 11/17.

Note:

In any exam if they are asking what is additive identity for a number? Then blindly you can write the answer as 0.

Hope you have understood the additive identity property.

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