Match the following columns on whole numbers:

column A column B

(a) 137 + 63 = 63 + 137 (i) Associativity of multiplication

(b) (16 × 25) is a number (ii) Commutativity of multiplication

(c) 365 × 18 = 18 × 365 (iii) Distributive law of multiplication over addition

(d) (86 × 14) × 25 = 86 × (14 × 25) (iv) Commutativity of addition

(e) 23 × (80 + 5) = (23 × 80) + (23 × 5) (v) Closure property for multiplication

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Solution

Column A Column B

(a) 137 + 63 = 63 + 137 (iv) Commutativity of addition

(b) (16 × 25) is a number (v) Closure property for multiplication

(c) 365 × 18 = 18 × 365 (ii) Commutativity of multiplication

(d) (86 × 14) × 25 = 86 × (14 × 25) (i) Associativity of multiplication

(e) 23 × (80 + 5) = (23 × 80) + (23 × 5) (iii) Distributive law of multiplication over addition

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column A	column B
(a) 137 + 63 = 63 + 137	(i) Associativity of multiplication
(b) (16 × 25) is a number	(ii) Commutativity of multiplication
(c) 365 × 18 = 18 × 365	(iii) Distributive law of multiplication over addition
(d) (86 × 14) × 25 = 86 × (14 × 25)	(iv) Commutativity of addition
(e) 23 × (80 + 5) = (23 × 80) + (23 × 5)	(v) Closure property for multiplication

Column A	Column B
(a) 137 + 63 = 63 + 137	(iv) Commutativity of addition
(b) (16 × 25) is a number	(v) Closure property for multiplication
(c) 365 × 18 = 18 × 365	(ii) Commutativity of multiplication
(d) (86 × 14) × 25 = 86 × (14 × 25)	(i) Associativity of multiplication
(e) 23 × (80 + 5) = (23 × 80) + (23 × 5)	(iii) Distributive law of multiplication over addition