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![]() ![]() As commutative property hold true for multiplication similarly associative property also holds true for multiplication.This means all three integers do not follow associative property under subtraction.Īssociative Property under Multiplication of Integers: On contradictory, as commutative property does not hold for subtraction similarly associative property also does not hold for subtraction of integers.Ĭheck whether (-6), (-1) and 3 follow associative property under subtraction.This means all three integers follow associative property under addition.Īssociative Property under Subtraction of Integers: Show that (-6), (-1) and (3) are associative under addition. In generalize form for any three integers say ‘a’, ’b’ and ‘c’.As commutative property hold for addition similarly associative property also holds for addition.Associative Property of IntegersĪssociative Property under Addition of Integers: This means the two integers do not follow commutative property under division. State whether (-12) and (-3) follow commutative law under division? , so the result of division of two integers are not equal so we can say that commutative property will not hold for division of integers. Let us consider for integers (4) and (-1), the difference of two numbers are not always same. On contradictory, commutative property will not hold for subtraction of whole number say (5 – 6) is not equal to (6 – 5).This means the two integers follow commutative property under addition.Ĭommutative Property under Subtraction of Integers: Show that -32 and 23 follow commutative property under addition. In generalise form for any two integers ‘a’ and ‘b’.So we can say that commutative property holds under addition for all integers. Similarly if we apply this to integers, (-5+3) = (3+(-5))= -2, it also hold for all integers. So whole numbers are commutative under addition. If we add two whole numbers say ‘a’ and ‘b’ the answer will always same, i.e if we add (2+3) = (3+2) = 5.Commutative Property of IntegersĬommutative Property under Addition of Integers: Hence, we can say that integers are not closed under division. Since both 14 and 5 are integers, but (14) ÷ 5 = 2.8 which is not an integer. State whether (14) ÷ 5 is closed under division. Let us say ‘a’ and ‘b’ are two integers, and if we divide them, their result ( a ÷ b ) is not necessarily an integer. If we divide any two integers the result is not necessarily an integer, so we can say that integers are not closed under division. Since both -30 and 11 are integers, and their product, i.e (-330) is also an integer, we can say that integers are closed under multiplication.Ĭlosure Property under Division of Integers: Show that (-30) x 11 closed under multiplication Let us say ‘a’ and ‘b’ are two integers either positive or negative, and if multiply it, their result should always be an integer, i.e and would always be an integer. If we multiply any two integers the result is always an integer, so we can say that integers are closed under multiplication. Since both 24 and -12 are integers, and their difference, i.e (12) is also an integer, we can say that integers are closed under subtraction.Ĭlosure Property under Multiplication of Integers: State whether (24 – 12) is closed under subtraction Let us say ‘a’ and ‘b’ are two integers either positive or negative, their result should always be an integer, i.e (a + b) would always be an integer. If we subtract any two integers the result is always an integer, so we can say that integers are closed under subtraction. Since both -11 and 2 are integers, and their sum, i.e (-9) is also an integer, we can say that integers are closed under addition.Ĭlosure Property under Subtraction of Integers State whether (– 11) + 2 is closed under addition When we add the two integers, their result would always be an integer, i.e (a + b) would always be an integer. ![]() Let us say ‘a’ and ‘b’ are two integers, either positive or negative. So we can say, that integers are closed under addition. ![]() If we add any two integers, the result obtained on adding the two integers, is always an integer. Closure Property under Addition of Integers ![]()
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