Check which of the following satisfy the commutative property of multiplication.(a)$(2\times10) + (2\times7) = 2 \times (10+7)$(b) $10\times2 = 2\times 10$(c) $3\times8 = 8\times 3$

Given :

The given expression is (a) $(2\times10) + (2\times7) = 2 \times (10+7)$       (b) $2 \times 10 = 10 \times 2$         (c) $8 \times 3 = 3 \times 8$

To do :

We have to check which of the given expressions satisfy  the commutative property of multiplication.

Solution :

Commutative property for multiplication :

$a\times b = b \times a $

(a) $(2\times10) + (2\times7) = 2 \times (10+7)$   is not satisfy commutative property for multiplication.

(b)$2 \times 10 = 10 \times 2$

 $ 20 = 20$

LHS = RHS.

Therefore, $2 \times 10 = 10 \times 2$ follows commutative property for multiplication.

(c)$8 \times 3 = 3 \times 8$

 $ 24 = 24$

LHS = RHS.

Therefore, $8 \times 3 = 3 \times 8$ follows commutative property for multiplication.

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Updated on: 10-Oct-2022

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