Question

Which of the following example shows the associative property of addition?

• A. $5+(2+6)=(5+2)+6$
• B. $13+15=15+13$
• C. $2\times (5+7)=2\times 5+2\times 7$
• D. $2\times (3\times 4)=(2\times 3)\times 4$

Answer 1

The correct option is A $5+(2+6)=(5+2)+6$

$5+(2+6)=(5+2)+6$
Here, associative property of addition is applied which states that when we add, we can group the numbers in any order or combination.

$13+15=15+13$
Here, commutative property of addition is applied which states that changing the order of addends does not change the sum.

$2\times (5+7)=2\times 5+2\times 7$
Here, distributive property of addition is applied which states that multiplication distributed over addition.

$2\times (3\times 4)=(2\times 3)\times 4$
Here, associative property of multiplication is applied which states that when we multiply, we can group the numbers in any order or combination.