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Match the following: 1425 136 = 425 x (6 +30 +100) (a) Commutativity under multiplication (i) 2 x 49 x 50 = 2 x 50 x 49 (b) Commutativity under addition. (iii) 80 + 2005 + 20 = 80 +20 + 2005 (c) Distributivity of multiplication over addition. |
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Answer» Commutative property under additionThe sum of two whole NUMBERS is the same, no matter in which order they are added.a+b = b+aCommutative property under MULTIPLICATION :The product of two whole numbers is the same, no matter in which order they are multiplieda×b = b×aSubtraction & division are not Commutative for whole numbers.Distributivity of multiplication over addition :The product of whole numbers with the sum of the other whole numbers is EQUAL to the sum of the products of the whole number with other two whole numbers.a(b+c) = a×b +a×c-----------------------------------------------------------------------------------------------------(i) 425 x 136 = 425 x (6 + 30 + 100) (c) Distributivity of multiplication over addition(ii) 2 x 49 x 50 = 2 x 50 x 49 (a) Commutivity under multiplication(iii) 80 + 2005 + 20 = 80 + 20 + 2005 (b) Commutivity under addition--------------------------------------------------------------------------------------------- |
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