# Match the following:

(i) 425 × 136 = 425 × (6 + 30 + 100) (a) Commutativity under multiplication.

(ii) 2 × 49 × 50 = 2 × 50 × 49 (b) Commutativity under addition.

(iii) 80 + 2005 + 20 = 80 + 20 + 2005 (c) Distributivity of multiplication over addition.

**Solution:**

(i) 425 × 136 = 425 × (6 + 30 + 100)

This expression is simplified using the property of distributivity of multiplication over addition.

According to the distributive property of multiplication over addition,

a × (b + c) = a × b + a × c

425 × 136 = 425 × (6 + 30 + 100)

= 425 × 6 + 425 × 30 + 425 × 100

Hence (c) distributivity of multiplication over addition is the correct answer.

(ii) 2 × 49 × 50 = 2 × 50 × 49

This expression will be simplified by using the property of commutativity under multiplication

According to the commutative property over multiplication,

a × b = b × a

or a × b × c = a × c × b

2 × 49 × 50 = 2 × 50 × 49

Hence, (a) commutativity under multiplication is the correct answer

(iii) 80 + 2005 + 20 = 80 + 20 + 2005

This expression will be simplified by using the property of commutativity under the addition.

According to the commutative property over addition,

a + b = b + a

or a + b + c = a + c + b

80 + 2005 + 20 = 80 + 20 + 2005

Hence, (b) commutativity under addition is the correct answer

NCERT Solutions Class 6 Maths - Chapter 2 Exercise 2.2 Question 7

## Match the following: (i) 425 × 136 = 425 × (6 + 30 + 100) (a) Commutativity under multiplication (ii) 2 × 49 × 50 = 2 × 50 × 49 (b) Commutativity under addition (iii) 80 + 2005 + 20 = 80 + 20 + 2005 (c) Distributivity of multiplication over addition

**Summary:**

(i) 425 × 136 = 425 × (6+ 30 + 100) matches with (c) Distributivity of multiplication over addition. (ii) 2 × 49 × 50 = 2 × 50 × 49 matches with (a) Commutativity under multiplication. (iii) 80 + 2005 + 20 = 80 + 20 + 2005 matches with (b) Commutativity under addition