question_answer 15)

Match the following. (i) 425 x 136 = 425 x (6 + 30 + 100) (a) Commutativity under multiplication (ii) 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

Answer:

                (i) We have, 425 x 136 = 425 x (6 + 30 + 100) = 425 x 6 + 425 x 30 + 425 x 100 It is distributivity of multiplication over addition. Hence, (i) belongs to (c). (ii) We have, 2 x 49 x 50 = 2 x 50 x 49 Here, we have changed the place of 49 and 50. So, it comes under Commutativity under multiplication. Hence, (ii) belongs to (a). (iii) We have, 80 + 2005 + 20 = 80 + 20 + 2005 Here, we have changed the place of 20 and 2005. So, it comes under Commutativity under addition. Hence, (iii) belongs to (b).