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.
Answers
Answer:
Commutative property under addition
The sum of two whole numbers is the same, no matter in which order they are added.
a+b = b+a
Commutative property under multiplication :
The product of two whole numbers is the same, no matter in which order they are multiplied
a×b = b×a
Subtraction & 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
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(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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