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Answer:

Closure property

Over addition

If a and b are two whole numbers and a + b = c, then c is also a whole NUMBER. 3 + 4 = 7 (whole number).

Over subtraction

If a and b are two whole numbers and a − b = c, then c is not always a whole number. Take a = 7 and b = 5, a − b = 7 − 5 = 2 and b − a = 5 − 7 = −2 (not a whole number).

Over multiplication

According to this property, if two integers a and b are multiplied then their resultant a × b is also an integer. THEREFORE, integers are closed under multiplication

Over division

The closure property of the division tells that the result of the division of two whole numbers is not always a whole number. Whole numbers are not closed under division i.e., a ÷ b is not always a whole number. From the property, we have, 14 ÷ 7 = 2 (whole number) but 7 ÷ 14 = ½ (not a whole number).

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