If and are whole numbers, which of the following expressions will always be a whole number?
Options
A
B
C
D
Answer & Analysis
Answer
A,D
Analysis
Question Analysis
This question tests the understanding of the closure properties of addition and multiplication for whole numbers.
Key Concept Explanation
The closure property of addition states that the sum of any two whole numbers is always a whole number. Similarly, the closure property of multiplication states that the product of any two whole numbers is always a whole number.
Step-by-step Solution
1. Identify the operations: , , , .
2. Check for closure under addition: will always be a whole number because the sum of any two whole numbers is a whole number.
3. Check for closure under multiplication:
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