Identify the commutative property of addition from the given options:

(a + b) + c = a + (b + c)

No worries! We‘ve got your back. Try BYJU‘S free classes today!

a \times \frac{1}{a} = 1

No worries! We‘ve got your back. Try BYJU‘S free classes today!

a(b + c) = (a x b) + (a x c)

No worries! We‘ve got your back. Try BYJU‘S free classes today!

a + b = b + a

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D a + b = b + a
An operation is commutative if changing the order of the operands does not change the result.
The commutative property of addition states the order in which the numbers are added does not matter.
a + b = b + a.

a(b + c) = (a x b) + (a x c) represents the Distributive Property.

(a+b)+c = a+(b+c) represents the Associative Property

$a \times \frac{1}{a} = 1$ represents multiplicative inverse.

Suggest Corrections

Similar questions

Q. Prove that:

(i)

\frac{a + b + c}{a^{- 1} b^{- 1} + b^{- 1} c^{- 1} + c^{- 1} a^{- 1}} = a b c

(ii)

{(a^{- 1} + b^{- 1})}^{- 1} = \frac{a b}{a + b}

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

If (\frac{a}{b} + \frac{c}{d}) + \frac{e}{f} = \frac{a}{b} + (\frac{c}{d} + \frac{e}{f}),

then this expression represents:

Q. a x ( b x c ) = ( a x b ) x c. The given statement illustrates _____ property.

$\begin{matrix} Properties of multiplication & Representation 1. Distributive Property & a . a \times b = b \times a 2. Commutative Property & b . a \times (b \times c) = (a \times b) \times c 3. Associative Property & c . a \times (b + c) = a \times b + a \times c \end{matrix}$

Pick the option which shows the correct match.

Join BYJU'S Learning Program