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

Open in App

Solution

(i) 425 × 136 = 425 × (6 + 30 + 100) [Distributivity of multiplication over addition]

Hence, (c)

(ii) 2 × 49 × 50 = 2 × 50 × 49 [Commutativity under multiplication]

Hence, (a)

(iii) 80 + 2005 + 20 = 80 + 20 + 2005 [Commutativity under addition]

Hence, (b)

Suggest Corrections

Similar questions

Q. Match the following:

(i) 625

×

436 = 625

×

400 + 625

×

30 + 625

×

6 (a) Commutative under addition
(ii) 25

×

×

8 = 25

×

×

69 (b) Commutative under multiplication
(iii) 60 + 19758 + 840 = 60 + 940 + 19758 (c) Distributive of multiplication over addition

Q. Match the following.
If a, b, c, are whole numbers, then

	Column-I		Column-II
(i)	a + b = b + a	(a)	Distributivity of multiplication
(ii)	(a + b) + c = a + (b + c)	(b)	Commutativity under addition
(iii)	a x (b + c) = a x b + a x c	(c)	Associativity of addition
		(d)	Commutativity under multiplication

Question 7

Match the following:
$\begin{matrix} (i) 425 \times 136 = 425 \times (6 + 30 + 100) & (a) C o m m u t a t i v i t y u n d e r m u l t i p l i c a t i o n (i i) 2 \times 48 \times 50 = 2 \times 50 \times 49 & (b) C o m m u t a t i v i t y u n d e r a d d i t i o n (i i i) 80 + 2005 + 20 = 80 + 20 + 2005 & (c) D i s t r i b u t i v i t y o f m u l t i p l i c a t i o n u n d e r a d d i t i o n \end{matrix}$

In the set of all rational numbers, give 2 examples each illustrating the following properties:

(i) associativity; (ii) commutativity; (iii) distributivity of multiplication over addition.

Q. Express the following properties with variables x, y and z.
(i) Commutative property of addition
(ii) Commutative property of multiplication
(iii) Associative property of addition
(iv) Associative property of multiplication
(v) Distributive property of multiplication over addition

Join BYJU'S Learning Program

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

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

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

(i) 425 × 136 = 425 × (6 + 30 + 100) [Distributivity of multiplication over addition]

Hence, (c)

(ii) 2 × 49 × 50 = 2 × 50 × 49 [Commutativity under multiplication]

Hence, (a)

(iii) 80 + 2005 + 20 = 80 + 20 + 2005 [Commutativity under addition]

Hence, (b)