Question
Shat is the additive identity on the set of rational numbers? a. 0 b. 1 e. -1 o d. \( 1 / 2 \)
Ask by Rodriguez Osborne. in Guyana
Mar 15,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The additive identity for rational numbers is 0.
Solution
The additive identity in any number system is the number that, when added to any element of that system, leaves the element unchanged.
For the set of rational numbers, the additive identity is:
- \( a + 0 = a \) for any rational number \( a \).
Thus, the correct answer is:
**a. 0**
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Simplify this solution Mind Expander
In the world of rational numbers, the additive identity is a special number that doesn’t change other numbers when added to them. It’s like the invisible friend of math! For any rational number \( r \), when you add 0 (your choice for the additive identity), the result remains \( r \). So, if you choose \( r \) to be \( \frac{2}{3} \), then \( \frac{2}{3} + 0 = \frac{2}{3} \). Pretty neat, right? Therefore, the correct answer to your question is indeed a: 0!
