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Question

Name the property of multiplication of rational numbers illustrated by the following statements:
(i) -516×815=815×-516

(ii) -175×9=9×-175

(iii) 74×-83+-1312=74×-83+74×-1312

(iv) -59×415×-98=-59×415×-98

(v) 13-17×1=13-17=1×13-17

(vi) -1116×16-11=1

(vii) 213×0=0=0×213

(viii) -32×54+-32×-76=-32×54+-76

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Solution

(i) Commutative property
(ii) Commutative property
(iii) Distributivity of multiplication over addition
(iv) Associativity of multiplication
(v) Existence of identity for multiplication
(vi) Existence of multiplicative inverse
(vii) Multiplication by 0
(viii) Distributive property

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