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Which of the following is NOT a property of integer numbers? For two integers 'a' and 'b'.*1 pointa*ba/ba - ba+b

Question

Which of the following is NOT a property of integer numbers?

For two integers 'a' and 'b'.
1 point
a * b,
a / a,
b - b,
a + b

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Solution

To determine which of the given options is not a property of integers, let’s analyze each expression based on the properties of integer arithmetic.

  1. Expression (1): ab ab

    • This represents the product of two integers a a and b b . The product of two integers is always an integer. This is a property of integers.
  2. Expression (2): ab \frac{a}{b}

    • This represents the division of a a by b b . The result is not necessarily an integer unless b b divides a a evenly (i.e., b b is a divisor of a a ). Thus, this expression does not always yield an integer.
  3. Expression (3): ab a - b

    • This represents the difference between two integers, which is also an integer. This follows the property of closure under subtraction for integers.
  4. Expression (4): a+b a + b

    • This represents the sum of two integers, which is also an integer. This follows the property of closure under addition for integers.

Final Answer

Therefore, the expression that is NOT a property of integer numbers is ab \frac{a}{b} , as it does not always result in an integer.

This problem has been solved

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