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Answer» Answer: Closure propertyOver additionIf a and b are two whole numbers and a + b = c, then c is also a whole NUMBER. 3 + 4 = 7 (whole number). Over subtractionIf 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 multiplicationAccording 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 divisionThe 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). Hope this HELPS you Stay HAPPY and safe ✌️ |
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