Exercise · ZW-IDENTITY-ELEMENT-001 · ★☆☆ Basic
What is the neutral element of (ℤ, +)?
Choose one option.
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- B. 0
Explanation
The neutral element of (ℤ, +) is 0, because adding 0 to any integer leaves it unchanged.
Review the concept: Identity element
An element \(e\in G\) is an identity, or neutral element, if it leaves every element of the group unchanged when operating with it.
\[e\ast a=a\ast e=a \quad \forall a\in G\]
More practice problems: identity element
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