0 reads0 ratings0 helpful
Why is (a*b=\frac{a+b}{2}) not a binary operation on integers?पूर्णांकों पर (a*b=\frac{a+b}{2}) द्विआधारी संक्रिया क्यों नहीं है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: Because (1*2=\frac{3}{2}\notin\mathbb{Z})क्योंकि (1*2=\frac{3}{2}\notin\mathbb{Z})
Step 1: On integers, the result must be an integer. Step 2: (1) and (2) are integers, but their average (\frac{3}{2}) is not an integer. Step 3: Always check closure in average-based rules.चरण 1: पूर्णांकों पर परिणाम पूर्णांक ही होना चाहिए। चरण 2: (1) और (2) पूर्णांक हैं, पर उनका औसत (\frac{3}{2}) पूर्णांक नहीं है। चरण 3: औसत वाले नियम में बंदता जरूर जाँचें।
Student feedback
Was this question useful?
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Difficulty
Easy0%
Medium0%
Hard0%
Was the explanation clear?
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.
