The additive identity of whole number is true or false?
Answer:
True
Whole numbers include all positive integers starting from zero. The additive identity of whole numbers is indeed true because when you add zero to any whole number, the result will be the same whole number.
Explanation:
Here is a detailed explanation of why the additive identity of whole numbers is true:
- Definition of Additive Identity:
The additive identity is a number that, when added to any other number, leaves the number unchanged. In other words, when you add the additive identity to any number, the result is that same number.
- For Whole Numbers:
When you add zero (0) to any whole number, the result will always be the same whole number. For example, 5 + 0 = 5, 10 + 0 = 10, and so on. This property holds true for all whole numbers.
- Mathematical Representation:
Mathematically, this property can be represented as a + 0 = a, where 'a' represents any whole number. This equation shows that adding zero to any whole number 'a' will result in 'a' itself.
- Importance:
The additive identity property is fundamental in mathematics and plays a key role in various mathematical operations and concepts. Understanding this property helps in simplifying calculations and proofs in mathematics.
In conclusion, the additive identity of whole numbers being true means that adding zero to any whole number will always result in the same whole number, making zero the identity element for addition in the set of whole numbers.
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