In mathematics, what does the identity element of addition state about a number and zero?

The identity element of addition is a fundamental property in mathematics that states when a number is added to zero, the original number remains unchanged. In other words, if you take any number 'x' and add zero to it (x + 0), the result is still 'x'. This concept is crucial in various areas of mathematics, including arithmetic, algebra, and number theory, because it establishes a baseline for how addition operates within the set of numbers.

Understanding this property reinforces the way we think about operations in mathematics. The idea that zero serves as an identity element allows students to comprehend addition and its effects on numbers deeply. In this case, while other options suggest changes to the number (like becoming larger or doubling), they do not align with the definition of the identity element of addition, which is centered around maintaining the original value.